Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Graeme W. Milton",
%%%     version         = "1.10",
%%%     date            = "13 October 2017",
%%%     time            = "09:07:46 MDT",
%%%     filename        = "milton-graeme-w.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 310 JWB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 6495",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "http://www.math.utah.edu/~milton",
%%%     checksum        = "42703 6634 27856 290491",
%%%     email           = "milton at math.utah.edu",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; cloaking; composite
%%%                        materials",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a very rough preliminary unreleased
%%%                        bibliography of publications by, and about,
%%%                        Graeme W. Milton.
%%%
%%%                        At version 1.10, the year coverage looked
%%%                        like this:
%%%
%%%                             1979 (   1)    1992 (   3)    2005 (   6)
%%%                             1980 (   1)    1993 (   3)    2006 (   9)
%%%                             1981 (   6)    1994 (   4)    2007 (   8)
%%%                             1982 (   6)    1995 (   3)    2008 (   8)
%%%                             1983 (   2)    1996 (   1)    2009 (  20)
%%%                             1984 (   2)    1997 (   6)    2010 (  10)
%%%                             1985 (   5)    1998 (   5)    2011 (  12)
%%%                             1986 (   5)    1999 (   4)    2012 (   6)
%%%                             1987 (   5)    2000 (   4)    2013 (  12)
%%%                             1988 (   5)    2001 (   3)    2014 (   9)
%%%                             1989 (   4)    2002 (   4)    2015 (   9)
%%%                             1990 (   4)    2003 (   4)    2016 (  21)
%%%                             1991 (   6)    2004 (   4)    2017 (   2)
%%%
%%%                             Article:        183
%%%                             Book:             2
%%%                             InCollection:    20
%%%                             InProceedings:   20
%%%                             Misc:             3
%%%                             PhdThesis:        1
%%%                             Proceedings:      1
%%%                             TechReport:       1
%%%                             Unpublished:      1
%%%
%%%                             Total entries:  232
%%%
%%%                        Data for this bibliography have been
%%%                        collected and merged from numerous sources,
%%%                        including the author's personal bibliographic
%%%                        records, the TeX User Group and BibNet
%%%                        Project bibliography archives, the MathSciNet
%%%                        database, the Crossref database, Google
%%%                        Scholar, and many different publisher Web
%%%                        sites.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
%%% ====================================================================
%%% Preamble material for TeX/LaTeX:
@Preamble{
    "\ifx \bblindex     \undefined \def \bblindex   #1{} \fi" #
    "\ifx \bbljournal   \undefined \def \bbljournal #1{{\em #1}\index{#1@{\em #1}}} \fi" #
    "\ifx \bblnumber    \undefined \def \bblnumber  #1{{\bf #1}} \fi" #
    "\ifx \bblvolume    \undefined \def \bblvolume  #1{{\bf #1}} \fi" #
    "\ifx \mathbb       \undefined \def \mathbb     #1{{\bf #1}} \fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-gwm =   "Graeme W. Milton,
                    University of Utah,
                    Department of Mathematics,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    e-mail: \path|milton@math.utah.edu| (Internet),
                    URL: \path|http://www.math.utah.edu/~milton/|"}

@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|http://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Institution abbreviations:
@String{inst-CORNELL            = "Cornell University"}
@String{inst-CORNELL:adr        = "Ithaca, New York."}

%%% ====================================================================
%%% Journal abbreviations: These are INTENTIONALLY given as full journal
%%% names, because abbreviations are often obscure, and sometimes, also
%%% ambiguous.
@String{j-AIP-CONF-PROC         = "AIP Conference Proceedings"}

@String{j-ANAL-MATH-PHYS        = "Analysis and Mathematical Physics"}

@String{j-APPL-PHYS             = "Applied Physics"}

@String{j-APPL-PHYS-A           = "Applied Physics A: Materials Science \&
                                  Processing"}

@String{j-APPL-PHYS-LET         = "Applied Physics Letters"}

@String{j-ARCH-RAT-MECH-ANAL    = "Archive for Rational Mechanics and
                                  Analysis"}

@String{j-ASYMPTOT-ANAL         = "Asymptotic Analysis"}

@String{j-C-R-MEC               = "Comptes Rendus M{'e}canique"}

@String{j-C-R-PHYS              = "Comptes Rendus Physique"}

@String{j-CALC-VAR-PARTIAL-DIFFER-EQU = "Calculus of Variations and Partial
                                  Differential Equations"}

@String{j-CAN-J-PHYS            = "Canadian Journal of Physics = Journal
                                  canadien de physique"}

@String{j-COMM-PURE-APPL-MATH   = "Communications on Pure and Applied
                                  Mathematics (New York)"}

@String{j-COMMUN-MATH-PHYS      = "Communications in Mathematical Physics"}

@String{j-COMMUN-MATH-SCI       = "Communications in Mathematical Sciences"}

@String{j-DOC-MATH              = "Documenta Mathematica"}

@String{j-EPJ-APPL-PHYS         = "European Physical Journal. Applied Physics"}

@String{j-EUR-J-MECH-A-SOLIDS   = "European Journal of Mechanics, A, Solids"}

@String{j-GEOPHYSICS            = "Geophysics"}

@String{j-INT-J-ENG-SCI         = "International journal of engineering science"}

@String{j-INT-J-NUMER-METHODS-ENG = "International Journal for Numerical Methods
                                  in Engineering"}

@String{j-INVERSE-PROBLEMS      = "Inverse Problems"}

@String{j-J-APPL-PHYS           = "Journal of Applied Physics"}

@String{j-J-CHEM-PHYS           = "Journal of Chemical Physics"}

@String{j-J-ELAST               = "Journal of Elasticity"}

@String{j-J-ENG-MATER-TECHNOL   = "Journal of Engineering Materials and
                                  Technology"}

@String{j-J-FLUID-MECH          = "Journal of Fluid Mechanics"}

@String{j-J-MATH-ANAL-APPL      = "Journal of Mathematical Analysis and
                                  Applications"}

@String{j-J-MATH-PHYS           = "Journal of Mathematical Physics"}

@String{j-J-MATH-PURES-APPL     = "Journal de Math{\'e}matiques Pures et
                                  Appliqu{\'e}es"}

@String{j-J-MECH-PHYS-SOLIDS    = "Journal of the Mechanics and Physics of
                                  Solids"}

@String{j-J-PHYS-D              = "Journal of Physics D: Applied Physics"}

@String{j-J-REINF-PLAST-COMPOS  = "Journal of Reinforced Plastics and
                                  Composites"}

@String{j-J-STAT-PHYS           = "Journal of Statistical Physics"}

@String{j-MATER-RES-SOC-SYMP-PROC = "Materials Research Society Symposium
                                  Proceedings"}

@String{j-MECH-MATER            = "Mechanics of Materials: An International
                                  Journal"}

@String{j-METHODS-APPL-ANAL     = "Methods and Applications of Analysis"}

@String{j-MULTISCALE-MODELING-SIMUL = "Multiscale Modeling \& Simulation"}

@String{j-NATURE                = "Nature"}

@String{j-NETW-HETEROG-MEDIA    = "Networks and Heterogeneous Media (NHM)"}

@String{j-NEW-J-PHYS            = "New Journal of Physics"}

@String{j-OPT-EXPRESS           = "Optics Express"}

@String{j-PHYS-REV-B-CMMP       = "Physical Review B: Condensed Matter and
                                  Materials Physics"}

@String{j-PHYS-REV-LET          = "Physical Review Letters"}

@String{j-PHYS-STATUS-SOLIDI    = "Physica Status Solidi"}

@String{j-PHYS-STATUS-SOLIDI-B-BASIC-RES = "Physica Status Solidi. B, Basic
                                  Research"}

@String{j-PHYS-TODAY            = "Physics Today"}

@String{j-PHYSICA-A             = "Physica A"}

@String{j-PHYSICA-B             = "Physica. B, Condensed Matter"}

@String{j-PHYSICA-D             = "Physica. D, Nonlinear Phenomena"}

@String{j-PROC-R-SOC-EDINB      = "Proceedings of the Royal Society of
                                  Edinburgh"}

@String{j-PROC-R-SOC-EDINB-SECT-A-MATH = "Proceedings of the Royal Society of
                                  Edinburgh. Section A, Mathematical and
                                  Physical Sciences"}

@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
                                  Society of London. Series A,
                                  Mathematical and physical sciences"}

@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI = "Proceedings of the Royal
                                  Society A: Mathematical, Physical, \&
                                  Engineering Sciences"}

@String{j-QUART-APPL-MATH       = "Quarterly of Applied Mathematics"}

@String{j-RHEOL-ACTA            = "Rheologica Acta"}

@String{j-SIAM-J-APPL-DYN-SYST  = "SIAM Journal on Applied Dynamical Systems"}

@String{j-SIAM-J-APPL-MATH      = "SIAM Journal on Applied Mathematics"}

@String{j-WAVE-MOTION           = "Wave motion"}

%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-AIP                 = "American Institute of Physics"}
@String{pub-AIP:adr             = "Woodbury, New York"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-ASME                = "American Society of Mechanical Engineers"}
@String{pub-ASME:adr            = "United Engineering Center, 345 E. 47th St.,
                                    New York, NY 10017, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER:adr      = "Basel, Switzerland"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-IOS                 = "IOS Press"}
@String{pub-IOS:adr             = "Amsterdam, The Netherlands"}

@String{pub-LONGMAN             = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr         = "Harlow, Essex, UK"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg, Germany~/
                                    London, UK~/ etc."}

@String{pub-PLENUM              = "Plenum Press"}
@String{pub-PLENUM:adr          = "New York~/ London"}

@String{pub-SIAM                = "SIAM Press"}
@String{pub-SIAM:adr            = "Philadelphia"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin~/ Heidelberg~/
                                  London~/ etc."}

%%% ====================================================================
%%% Bibliography entries, sorted in rough publication order with
%%% ``bibsort --byyear'':
@TechReport{Milton:1979:TST,
  author =       "Graeme W. Milton",
  title =        "Theoretical studies of the transport properties of
                 inhomogeneous media",
  type =         "Unpublished report",
  number =       "TP/79/1",
  institution =  "University of Sydney",
  address =      "Sydney, Australia",
  pages =        "1--65",
  year =         "1979",
  DOI =          "https://doi.org/10.13140/RG.2.1.2184.8482",
  bibdate =      "Sun Jul 5 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
}

@Article{Milton:1980:BCD,
  author =       "Graeme W. Milton",
  title =        "Bounds on the complex dielectric constant of a
                 composite material",
  journal =      j-APPL-PHYS-LET,
  volume =       "37",
  number =       "3",
  pages =        "300--302",
  day =          "1",
  month =        aug,
  year =         "1980",
  CODEN =        "APPLAB",
  DOI =          "https://doi.org/10.1063/1.91895",
  ISSN =         "0003-6951 (print), 1077-3118 (electronic), 1520-8842",
  ISSN-L =       "0003-6951",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Applied Physics Letters",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/apl",
  originallab =  "GWM0697",
  originallab =  "GWM0272",
  originalref =  "Milton G.W. 1980 Bounds on the complex dielectric
                 constant of a composite material. {\em Appl. Phys.
                 Lett.} {\bf 37}, 300--302.",
  texsource =    "l-lec4.tex",
  texsource =    "l-lec15.tex",
  xxURL =        "http://scitation.aip.org/content/aip/journal/apl/37/3/10.1063/1.91895",
}

@Article{McPhedran:1981:BET,
  author =       "Ross C. McPhedran and Graeme W. Milton",
  title =        "Bounds and exact theories for the transport properties
                 of inhomogeneous media",
  journal =      j-APPL-PHYS-A,
  volume =       "26",
  number =       "4",
  pages =        "207--220",
  month =        dec,
  year =         "1981",
  CODEN =        "APSFDB",
  DOI =          "https://doi.org/10.1007/BF00617840",
  ISSN =         "0721-7250",
  ISSN-L =       "0721-7250",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Applied Physics A: Materials Science \& Processing",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/339",
  originallab =  "GWM0469",
  originallab =  "GWM0370",
  originallab =  "GWM0129",
  originalref =  "McPhedran R.C. and Milton G.W. 1981 Bounds and exact
                 theories for the transport properties of inhomogeneous
                 media. {\em Appl. Phys. A} {\bf 26}, 207--220.",
  texsource =    "l-lec19.tex",
  texsource =    "l-lec17.tex",
  texsource =    "l-lec10.tex",
}

@Article{Milton:1981:BCP,
  author =       "Graeme W. Milton",
  title =        "Bounds on the complex permittivity of a two-component
                 composite material",
  journal =      j-J-APPL-PHYS,
  volume =       "52",
  number =       "8",
  pages =        "5286--5293",
  day =          "1",
  month =        aug,
  year =         "1981",
  CODEN =        "JAPIAU",
  DOI =          "https://doi.org/10.1063/1.329385",
  ISSN =         "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
  ISSN-L =       "0021-8979",
  bibdate =      "Sat Nov 28 20:27:56 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/jap/52/8/10.1063/1.329385",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of Applied Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jap/browse",
  originallab =  "GWM0736",
  originallab =  "GWM0698",
  originallab =  "GWM0473",
  originallab =  "GWM0197",
  originalref =  "Milton G.W. 1981 Bounds on the complex permittivity of
                 a two-component composite material, {\em J. Appl.
                 Phys.} {\bf 52}, 5286--5293.",
  originalref-2 = "Milton G.W. 1981a Bounds on the complex permittivity
                 of a two-component composite material. {\em J. Appl.
                 Phys.} {\bf 52}, 5286--5293.",
  texsource =    "l-lec5.tex",
  texsource =    "l-lec4.tex",
  texsource =    "l-lec19.tex",
  texsource =    "l-lec12.tex",
  xxURL =        "http://scitation.aip.org/content/aip/journal/apl/37/3/10.1063/1.91895",
}

@Article{Milton:1981:BEE,
  author =       "Graeme W. Milton",
  title =        "Bounds on the electromagnetic, elastic, and other
                 properties of two-component composites",
  journal =      j-PHYS-REV-LET,
  volume =       "46",
  number =       "8",
  pages =        "542--545",
  day =          "23",
  month =        feb,
  year =         "1981",
  CODEN =        "PRLTAO",
  DOI =          "https://doi.org/10.1103/PhysRevLett.46.542",
  ISSN =         "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
  ISSN-L =       "0031-9007",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Physical Review Letters",
  journal-URL =  "http://prl.aps.org/browse",
  originallab =  "GWM0475",
  originallab =  "GWM0374",
  originallab =  "GWM0327",
  originallab =  "GWM0214",
  originallab =  "GWM0133",
  originalref =  "Milton G.W. 1981c Bounds on the electromagnetic,
                 elastic, and other properties of two-component
                 composites, {\em Phys. Rev. Lett.} {\bf 46},
                 542--545.",
  originalref-2 = "Milton G.W. 1981b Bounds on the electromagnetic,
                 elastic, and other properties of two-component
                 composites, {\em Phys. Rev. Lett.} {\bf 46},
                 542--545.",
  originalref-3 = "Milton G.W. 1981 Bounds on the electromagnetic,
                 elastic, and other properties of two-component
                 composites, {\em Phys. Rev. Lett.} {\bf 46},
                 542--545.",
  texsource =    "l-lec19.tex",
  texsource =    "l-lec17.tex",
  texsource =    "l-lec16.tex",
  texsource =    "l-lec13.tex",
  texsource =    "l-lec10.tex",
}

@Article{Milton:1981:BTO,
  author =       "Graeme W. Milton",
  title =        "Bounds on the transport and optical properties of a
                 two-component composite material",
  journal =      j-J-APPL-PHYS,
  volume =       "52",
  number =       "8",
  pages =        "5294--5304",
  month =        aug,
  year =         "1981",
  CODEN =        "JAPIAU",
  DOI =          "https://doi.org/10.1063/1.329386",
  ISSN =         "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
  ISSN-L =       "0021-8979",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/jap/52/8/10.1063/1.329386",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of Applied Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jap/browse",
  originallab =  "GWM0547",
  originallab =  "GWM0474",
  originallab =  "GWM0373",
  originallab =  "GWM0198",
  originalref =  "Milton G.W. 1981 Bounds on the transport and optical
                 properties of a two-component composite material. {\em
                 J. Appl. Phys.} {\bf 52}, 5294--5304.",
  originalref-2 = "Milton G.W. 1981b Bounds on the transport and optical
                 properties of a two-component composite material. {\em
                 J. Appl. Phys.} {\bf 52}, 5294--5304.",
  originalref-3 = "Milton G.W. 1981b Bounds on the transport and optical
                 properties of a two-component composite material. {\em
                 J. Appl. Phys.} {\bf 52}, 5294--5304.",
  originalref-4 = "Milton G.W. 1981a Bounds on the transport and optical
                 properties of a two-component composite material. {\em
                 J. Appl. Phys.} {\bf 52}, 5294--5304.",
  texsource =    "l-lec20.tex",
  texsource =    "l-lec19.tex",
  texsource =    "l-lec17.tex",
  texsource =    "l-lec12.tex",
}

@Article{Milton:1981:CBT,
  author =       "Graeme W. Milton",
  title =        "Concerning bounds on the transport and mechanical
                 properties of multicomponent composite materials",
  journal =      j-APPL-PHYS,
  volume =       "A26",
  number =       "2",
  pages =        "125--130",
  year =         "1981",
  CODEN =        "APAMFC",
  DOI =          "https://doi.org/10.1007/BF00616659",
  ISSN =         "0947-8396 (print), 1432-0630 (electronic)",
  ISSN-L =       "0947-8396",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Applied Physics",
  journal-URL =  "http://link.springer.com/journal/339",
  originallab =  "GWM0326",
  originalref =  "Milton G.W. 1981a Concerning bounds on the transport
                 and mechanical properties of multicomponent composite
                 materials. {\em Appl. Phys.} {\bf A26}, 125--130.",
  texsource =    "l-lec16.tex",
}

@Article{Milton:1981:TPA,
  author =       "Graeme W. Milton and Ross C. McPhedran and D. R.
                 McKenzie",
  title =        "Transport properties of arrays of intersecting
                 cylinders",
  journal =      j-APPL-PHYS,
  volume =       "25",
  number =       "1",
  pages =        "23--30",
  year =         "1981",
  CODEN =        "APAMFC",
  DOI =          "https://doi.org/10.1007/BF00935387",
  ISSN =         "0947-8396 (print), 1432-0630 (electronic)",
  ISSN-L =       "0947-8396",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Applied Physics",
  journal-URL =  "http://link.springer.com/journal/339",
  originallab =  "GWM0478",
  originalref =  "Milton G.W., McPhedran R.C., and McKenzie D.R. 1981
                 Transport properties of arrays of intersecting
                 cylinders. {\em Appl. Phys.} {\bf 25}, 23--30.",
  texsource =    "l-lec19.tex",
  xxURL =        "http://link.springer.com/article/10.1007/BF00935387",
}

@Article{McPhedran:1982:ESI,
  author =       "Ross C. McPhedran and D. R. McKenzie and Graeme W.
                 Milton",
  title =        "Extraction of structural information from measured
                 transport properties of composites",
  journal =      j-APPL-PHYS-A,
  volume =       "29",
  number =       "1",
  pages =        "19--27",
  month =        sep,
  year =         "1982",
  CODEN =        "APSFDB",
  DOI =          "https://doi.org/10.1007/BF00618111",
  ISSN =         "0721-7250",
  ISSN-L =       "0721-7250",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/BF00618111",
  acknowledgement = ack-gwm,
  fjournal =     "Applied Physics A: Materials Science \& Processing",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/339",
  originallab =  "GWM0470",
  originalref =  "McPhedran R.C., McKenzie D.R., and Milton G.W. 1982
                 Extraction of structural information from measured
                 transport properties of composites. {\em Appl. Phys. A}
                 {\bf 29}, 19--27.",
  texsource =    "l-lec19.tex",
}

@Article{Milton:1982:BET,
  author =       "Graeme W. Milton",
  title =        "Bounds on the elastic and transport properties of
                 two-component composites",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "30",
  number =       "3",
  pages =        "177--191",
  year =         "1982",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/0022-5096(82)90022-9",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "73K20",
  MRnumber =     "666510 (83g:73058)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0022509682900229",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  originallab =  "GWM0476",
  originallab =  "GWM0375",
  originallab =  "GWM0134",
  originalref =  "Milton G.W. 1982 Bounds on the elastic and transport
                 properties of two-component composites, {J. Mech. Phys.
                 Solids} {\bf 30}, 177--191.",
  originalref-2 = "Milton G.W. 1982 Bounds on the elastic and transport
                 properties of two-component composites. {\em J. Mech.
                 Phys. Solids} {\bf 30}, 177--191.",
  texsource =    "l-lec19.tex",
  texsource =    "l-lec17.tex",
  texsource =    "l-lec10.tex",
}

@InProceedings{Milton:1982:CTM,
  author =       "Graeme W. Milton and Ross C. McPhedran",
  editor =       "Robert Burridge and Stephen Childress and George C.
                 Papanicolaou",
  booktitle =    "Macroscopic Properties of Disordered Media:
                 Proceedings of a Conference Held at the Courant
                 Institute, June 1--3, 1981",
  title =        "A comparison of two methods for deriving bounds on the
                 effective conductivity of composites",
  volume =       "154",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "vi + 307",
  pages =        "183--193",
  year =         "1982",
  ISBN =         "0-387-11202-2",
  ISBN-13 =      "978-0-387-11202-2",
  LCCN =         "QA911 .M32 1981",
  MRclass =      "73-06",
  MRnumber =     "674958 (83m:73005)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "Lecture Notes in Physics",
  acknowledgement = ack-gwm,
  originallab =  "GWM0479",
  originalref =  "Milton G.W. and McPhedran R.C. 1982 A comparison of
                 two methods for deriving bounds on the effective
                 conductivity of composites. In {\em Macroscopic
                 Properties of Disordered Media}, ed. by R. Burridge, S.
                 Childress, and G. Papanicolaou, {\em Lecture notes in
                 physics}, {\bf 154}, pp. 183--193, Springer Verlag.",
  rest =         "Springer Verlag",
  texsource =    "l-lec19.tex",
}

@Article{Milton:1982:NBE,
  author =       "Graeme W. Milton and N. Phan-Thien",
  title =        "New bounds on effective elastic moduli of
                 two-component materials",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "380",
  number =       "1779",
  pages =        "305--331",
  year =         "1982",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1982.0044",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0376",
  originallab =  "GWM0333",
  originalref =  "Milton G.W. and Phan-Thien N. 1982 New bounds on
                 effective elastic moduli of two-component materials.
                 {\em Proc. Roy. Soc. Lond. A} {\bf 380}, 305--331.",
  texsource =    "l-lec17.tex",
  texsource =    "l-lec16.tex",
}

@Article{Phan-Thien:1982:NBE,
  author =       "N. Phan-Thien and Graeme W. Milton",
  title =        "New bounds on the effective thermal conductivity of
                 {$N$}-phase materials",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "380",
  number =       "1779",
  pages =        "333--348",
  year =         "1982",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1982.0045",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0377",
  originalref =  "Phan-Thien N. and Milton G.W. 1982 New bounds on the
                 effective thermal conductivity of $N$-phase materials.
                 {\em Proc. Roy. Soc. Lond. A} {\bf 380}, 333--348.",
  texsource =    "l-lec17.tex",
}

@Article{Phan-Thien:1982:PUB,
  author =       "N. Phan-Thien and Graeme W. Milton",
  title =        "A possible use of bounds on effective moduli of
                 composites",
  journal =      j-J-REINF-PLAST-COMPOS,
  volume =       "1",
  number =       "2",
  pages =        "107--114",
  month =        apr,
  year =         "1982",
  CODEN =        "JRPCDW",
  DOI =          "https://doi.org/10.1177/07316844820010020",
  ISSN =         "0731-6844 (print), 1530-7964 (electronic)",
  ISSN-L =       "0731-6844",
  bibdate =      "Fri Aug 12 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://jrp.sagepub.com/content/1/2/107.abstract",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of Reinforced Plastics and Composites",
  journal-URL =  "http://jrp.sagepub.com/",
}

@Article{Milton:1983:CFD,
  author =       "Graeme W. Milton and Michael E. Fisher",
  title =        "Continuum fluids with a discontinuity in the
                 pressure",
  journal =      j-J-STAT-PHYS,
  volume =       "32",
  number =       "2",
  pages =        "413--438",
  month =        aug,
  year =         "1983",
  CODEN =        "JSTPSB",
  DOI =          "https://doi.org/10.1007/BF01012719",
  ISSN =         "0022-4715 (print), 1572-9613 (electronic)",
  ISSN-L =       "0022-4715",
  MRclass =      "82A25 (82A05)",
  MRnumber =     "715034 (85e:82031)",
  MRreviewer =   "O. Penrose",
  bibdate =      "Thu Aug 28 18:33:54 MDT 2014",
  bibsource =    "http://link.springer.com/journal/10955;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=32&issue=2;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01012719",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Statistical Physics",
  journal-URL =  "http://link.springer.com/journal/10955",
}

@Article{Phan-Thien:1983:NTO,
  author =       "N. Phan-Thien and Graeme W. Milton",
  title =        "New third-order bounds on the effective moduli of
                 {$N$}-phase composites",
  journal =      j-QUART-APPL-MATH,
  volume =       "41",
  number =       "1",
  pages =        "59--74",
  year =         "1983",
  CODEN =        "QAMAAY",
  ISSN =         "0033-569X (print), 1552-4485 (electronic)",
  ISSN-L =       "0033-569X",
  MRclass =      "73K20 74A40 74A20",
  MRnumber =     "700661 (84i:73058)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  ZMnumber =     "0513.73004",
  acknowledgement = ack-gwm,
  fjournal =     "Quarterly of Applied Mathematics",
  journal-URL =  "http://dl.acm.org/citation.cfm?id=J641;
                 http://www.ams.org/journals/qam",
  originallab =  "GWM0135",
  originalref =  "Phan-Thien N. and Milton G.W. 1983 New third-order
                 bounds on the effective moduli of N-phase composites.
                 {\em Quart. Appl. Math.} {\bf 41}, 59--74.",
  remark =       "AMS journal Web site has data only for 2005--date, so
                 no DOI or URL is known. Not found in JSTOR either.",
  texsource =    "l-lec10.tex",
}

@InProceedings{Milton:1984:CEEa,
  author =       "Graeme W. Milton",
  editor =       "D. L. Johnson and P. N. Sen",
  booktitle =    "Physics and Chemistry of Porous Media: Papers from a
                 Symposium Held at Schlumberger--Doll Research, Oct.
                 24--25, 1983",
  title =        "Correlation of the electromagnetic and elastic
                 properties of composities and microgeometries
                 corresponding with effective medium approximations",
  journal =      j-AIP-CONF-PROC,
  volume =       "107",
  publisher =    pub-AIP,
  address =      pub-AIP:adr,
  bookpages =    "223",
  pages =        "52--65",
  year =         "1984",
  CODEN =        "APCPCS",
  DOI =          "https://doi.org/10.1063/1.34305",
  ISBN =         "0-88318-306-4",
  ISBN-13 =      "978-0-88318-306-9",
  ISSN =         "0094-243X (print), 1551-7616 (electronic), 1935-0465",
  ISSN-L =       "0094-243X",
  LCCN =         "TA418.9.P6 P46 1983",
  bibdate =      "Sat Nov 28 20:27:56 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.34305",
  acknowledgement = ack-nhfb,
  fjournal =     "AIP Conference Proceedings",
  journal-URL =  "http://scitation.aip.org/content/aip/proceeding/aipcp",
  remark =       "Conference date: 24--25 October 1983. Location:
                 Schlumberger- Doll Research",
}

@InProceedings{Milton:1984:CEEb,
  author =       "Graeme W. Milton",
  editor =       "D. L. Johnson and P. N. Sen",
  booktitle =    "Physics and Chemistry of Porous Media: Papers from a
                 Symposium Held at Schlumberger--Doll Research, Oct.
                 24--25, 1983",
  title =        "Correlation of the electromagnetic and elastic
                 properties of composites and microgeometries
                 corresponding with effective medium theory",
  journal =      j-AIP-CONF-PROC,
  volume =       "107",
  publisher =    pub-AIP,
  address =      pub-AIP:adr,
  bookpages =    "223",
  pages =        "66--77",
  year =         "1984",
  CODEN =        "APCPCS",
  DOI =          "https://doi.org/10.1063/1.34306",
  ISBN =         "0-88318-306-4",
  ISBN-13 =      "978-0-88318-306-9",
  ISSN =         "0094-243X (print), 1551-7616 (electronic), 1935-0465",
  ISSN-L =       "0094-243X",
  LCCN =         "TA418.9.P6 P46 1983",
  bibdate =      "Sat Nov 28 20:27:56 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "AIP Conference Proceedings",
  URL =          "http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.34306",
  acknowledgement = ack-gwm # "\slash " # ack-nhfb,
  fjournal =     "AIP Conference Proceedings",
  journal-URL =  "http://scitation.aip.org/content/aip/proceeding/aipcp",
  originallab =  "GWM0781",
  originallab =  "GWM0406",
  originalref =  "Milton G.W. 1984 Correlation of the electromagnetic
                 and elastic properties of composites and
                 microgeometries corresponding with effective medium
                 theory. In {\em Physics and Chemistry of Porous Media},
                 pp. 66--77, ed. by D.L.Johnson and P.N.Sen, American
                 Institute of Physics, New York.",
  originalref-2 = "Milton G.W. 1984 Correlation of the electromagnetic
                 and elastic properties of composites and
                 microgeometries corresponding with effective medium
                 approximations. In {\em Physics and Chemistry of Porous
                 Media} D.L. Johnson and P.N. Sen, eds., Am. Inst.
                 Phys., New York, pp. 66--77.",
  remark =       "Conference date: 24--25 October 1983. Location:
                 Schlumberger- Doll Research",
  rest =         "ed. by D.L.Johnson and P.N.Sen, American Institute of
                 Physics, New York",
  texsource =    "l-lec6.tex",
  texsource =    "l-lec18.tex",
  xxtitle =      "Correlation of the electromagnetic and elastic
                 properties of composites and microgeometries
                 corresponding with effective medium approximations",
}

@Article{Berryman:1985:NCV,
  author =       "James G. Berryman and Graeme W. Milton",
  title =        "Normalization constraint for variational bounds on
                 fluid permeability",
  journal =      j-J-CHEM-PHYS,
  volume =       "83",
  number =       "2",
  pages =        "754--760",
  day =          "15",
  month =        jul,
  year =         "1985",
  CODEN =        "JCPSA6",
  DOI =          "https://doi.org/10.1063/1.449489",
  ISSN =         "0021-9606 (print), 1089-7690 (electronic)",
  ISSN-L =       "0021-9606",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/jcp/83/2/10.1063/1.449489",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemical Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jcp/browse",
}

@Article{Milton:1985:CPA,
  author =       "Graeme W. Milton",
  title =        "The coherent potential approximation is a realizable
                 effective medium scheme",
  journal =      j-COMMUN-MATH-PHYS,
  volume =       "99",
  number =       "4",
  pages =        "463--500",
  year =         "1985",
  CODEN =        "CMPHAY",
  DOI =          "https://doi.org/10.1007/BF01215906",
  ISSN =         "0010-3616 (print), 1432-0916 (electronic)",
  MRclass =      "82A57 (73B99 82A42)",
  MRnumber =     "796009 (86i:82054)",
  MRreviewer =   "B. Derrida",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01215906",
  fjournal =     "Communications in Mathematical Physics",
  journal-URL =  "http://link.springer.com/journal/220",
  xxURL =        "http://projecteuclid.org/euclid.cmp/1103942837",
}

@PhdThesis{Milton:1985:SEM,
  author =       "Graeme W. Milton",
  title =        "Some exotic models in statistical physics. {I}. {The}
                 coherent potential approximation is a realizable
                 effective medium scheme. {II}. {Anomalous} first-order
                 transitions",
  type =         "{Ph.D.} thesis",
  school =       inst-CORNELL,
  address =      inst-CORNELL:adr,
  pages =        "x + 164",
  year =         "1985",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://search.proquest.com/dissertations/docview/303393850/",
  acknowledgement = ack-gwm,
  advisor =      "Michael Ellis Fisher",
  originallab =  "GWM0783",
  originalref =  "Milton G.W. 1985b Some exotic models in statistical
                 physics. I The coherent potential approximation is a
                 realizable effective medium scheme. II Anomalous
                 first-order transitions. {\em PhD Thesis} Cornell
                 University.",
  rest =         "Cornell University",
  texsource =    "l-lec6.tex",
}

@InProceedings{Milton:1985:TCC,
  author =       "Graeme W. Milton and Kenneth M. Golden",
  editor =       "T. Ashworth and D. R. Smith",
  booktitle =    "Thermal Conductivity",
  title =        "Thermal conduction in composites",
  volume =       "18",
  publisher =    pub-PLENUM,
  address =      pub-PLENUM:adr,
  bookpages =    "xix + 764",
  pages =        "571--582",
  year =         "1985",
  ISBN =         "0-306-41918-1",
  ISBN-13 =      "978-0-306-41918-8",
  LCCN =         "QC 320.8 I58 1983",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  originallab =  "GWM0550",
  originallab =  "GWM0217",
  originalref =  "Milton G.W. and Golden K. 1985 Thermal conduction in
                 composites. In {\em Thermal Conductivity} {\bf 18}, ed.
                 by T. Ashworth and D.R. Smith, pp. 571-582, Plenum
                 Press, New York.",
  originalref-2 = "Milton G.W. and Golden K. 1985 Thermal conduction in
                 composites. In {\em Thermal Conductivity} {\bf 18}, ed.
                 by T. Ashworth and D.R. Smith (Plenum Press, New York).
                 pp. 571--582.",
  rest =         "Plenum Press, New York",
  texsource =    "l-lec20.tex",
  texsource =    "l-lec13.tex",
  xxnote =       "Proceedings of the Eighteenth International
                 Conductivity Conference, hosted and organized by the
                 South Dakota School of Mines and Technology, sponsored
                 by RE\slash SPEC Inc. of Rapid City and CINDAS\slash
                 Purdue University, Held October 3--5, 1983, in Rapid
                 City, South Dakota.",
}

@Article{Milton:1985:TCP,
  author =       "Graeme W. Milton",
  title =        "The coherent potential approximation is a realizable
                 effective medium scheme",
  journal =      j-COMMUN-MATH-PHYS,
  volume =       "99",
  number =       "4",
  pages =        "463--500",
  year =         "1985",
  CODEN =        "CMPHAY",
  DOI =          "https://doi.org/10.1007/BF01215906",
  ISSN =         "0010-3616 (print), 1432-0916 (electronic)",
  ISSN-L =       "0010-3616",
  MRclass =      "82A57 (73B99 82A42)",
  MRnumber =     "86i:82054",
  MRreviewer =   "B. Derrida",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://projecteuclid.org/euclid.cmp/1103942837",
  acknowledgement = ack-gwm,
  fjournal =     "Communications in Mathematical Physics",
  journal-URL =  "http://link.springer.com/journal/220",
  originallab =  "GWM0782",
  originalref =  "Milton G.W. 1985a The coherent potential approximation
                 is a realizable effective medium scheme. {\em Comm.
                 Math. Phys.} {\bf 99}, 463--500.",
  texsource =    "l-lec6.tex",
}

@Article{Fisher:1986:CFO,
  author =       "Michael E. Fisher and Graeme W. Milton",
  title =        "Classifying first-order phase transitions",
  journal =      j-PHYSICA-A,
  volume =       "138",
  number =       "1--2",
  pages =        "22--54",
  month =        sep,
  year =         "1986",
  CODEN =        "PHYSAG",
  DOI =          "https://doi.org/10.1016/0378-4371(86)90172-X",
  ISSN =         "0378-4371 (print), 1873-2119 (electronic)",
  ISSN-L =       "0378-4371",
  MRclass =      "82A25 (82A97)",
  MRnumber =     "865235 (87k:82052)",
  MRreviewer =   "V. A. Zagrebnov",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/037843718690172X",
  fjournal =     "Physica A. Statistical and Theoretical Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03784371",
}

@InCollection{Kohn:1986:BEC,
  author =       "Robert V. Kohn and Graeme W. Milton",
  editor =       "J. L. Ericksen and David Kinderlehrer and Robert V.
                 Kohn and Jacques-Louis Lions",
  booktitle =    "{Homogenization and Effective Moduli of Materials and
                 Media: Papers presented at a Workshop on Homogenization
                 of Differential Equations and the Determination of
                 Effective Moduli of Materials and Media, Primarily in
                 the Context of Continuum Theory; Minneapolis, MN,
                 October 22--October 26, 1984}",
  title =        "On bounding the effective conductivity of anisotropic
                 composites",
  volume =       "1",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "x + 263",
  pages =        "97--125",
  year =         "1986",
  DOI =          "https://doi.org/10.1007/978-1-4613-8646-9_5",
  ISBN =         "0-387-96306-5",
  ISBN-13 =      "978-0-387-96306-8",
  LCCN =         "QA808.2 .H661 1986",
  MRclass =      "78A25",
  MRnumber =     "859413 (87k:78005)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "The IMA Volumes in Mathematics and its Applications",
  URL =          "http://link.springer.com/chapter/10.1007/978-1-4613-8646-9_5",
  acknowledgement = ack-gwm,
  originallab =  "GWM0319",
  originalref =  "Kohn R.V. and Milton G.W. 1986 On bounding the
                 effective conductivity of anisotropic composites. In
                 {\em Homogenization and Effective Moduli of Materials
                 and Media}, ed. by J.L. Ericksen, D. Kinderlehrer, R.
                 Kohn, and J.-L. Lions., {\em The IMA volumes in
                 mathematics and its applications} {\bf 1}, pp. 97--125,
                 Springer-Verlag.",
  rest =         "Springer-Verlag",
  texsource =    "l-lec16.tex",
}

@InProceedings{Milton:1986:APLG,
  author =       "Graeme W. Milton",
  editor =       "George C. Papanicolaou",
  booktitle =    "Advances in Multiphase Flow and Related Problems:
                 Proceedings of the Workshop on Cross Disciplinary
                 Research in Multiphase Flow, Leesburg, Virginia, June
                 2--4, 1986",
  title =        "A proof that laminates generate all possible effective
                 conductivity functions of two-dimensional, two-phase
                 media",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  bookpages =    "x + 295",
  pages =        "136--146",
  year =         "1986",
  ISBN =         "0-89871-212-2",
  ISBN-13 =      "978-0-89871-212-4",
  LCCN =         "QA922 .W671 1986",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  originallab =  "GWM0200",
  originalref =  "Milton G.W. 1986b A proof that laminates generate all
                 possible effective conductivity functions of
                 two-dimensional, two-phase media. In {\em Advances in
                 multiphase flow and related problems}, ed. G.
                 Papanicolaou {\em S.I.A.M., Philadelphia}, 136--146.",
  texsource =    "l-lec12.tex",
  xxkey =        "xx1986b",
  xxtitle =      "Proof that laminates generate all possible effective
                 conductivity functions of two-dimensional, two-phase
                 media",
}

@InCollection{Milton:1986:MPC,
  author =       "Graeme W. Milton",
  editor =       "J. L. Ericksen and David Kinderlehrer and Robert V.
                 Kohn and Jacques-Louis Lions",
  booktitle =    "{Homogenization and Effective Moduli of Materials and
                 Media: Papers presented at a Workshop on Homogenization
                 of Differential Equations and the Detemination of
                 Effective Moduli of Materials and Media, Primarily in
                 the Context of Continuum Theory; Minneapolis, MN,
                 October 22--October 26, 1984}",
  title =        "Modeling the properties of composites by laminates",
  volume =       "1",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "x + 263",
  pages =        "150--174",
  year =         "1986",
  DOI =          "https://doi.org/10.1007/978-1-4613-8646-9_7",
  ISBN =         "0-387-96306-5",
  ISBN-13 =      "978-0-387-96306-8",
  LCCN =         "QA808.2 .H661 1986",
  MRclass =      "73-02 (76-02 78-02) 73K20",
  MRnumber =     "859409 (87i:73006); 859415",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "The IMA Volumes in Mathematics and its Applications",
  acknowledgement = ack-gwm,
  book-DOI =     "https://doi.org/10.1007/978-1-4613-8646-9",
  originallab =  "GWM0737",
  originallab =  "GWM0548",
  originallab =  "GWM0328",
  originallab =  "GWM0199",
  originalref =  "Milton G.W. 1986 Modeling the properties of composites
                 by laminates. In {\em Homogenization and Effective
                 Moduli of Materials and Media}, ed. by J.L. Ericksen,
                 D. Kinderlehrer, R. Kohn, and J.-L. Lions., {\em The
                 IMA volumes in mathematics and its applications} {\bf
                 1}, pp. 150--174, Springer-Verlag.",
  originalref-2 = "Milton G.W. 1986a Modeling the properties of
                 composites by laminates. In {\em Homogenization and
                 Effective Moduli of Materials and Media}, ed. by J.L.
                 Ericksen, D. Kinderlehrer, R. Kohn, and J.-L. Lions.,
                 {\em The IMA volumes in mathematics and its
                 applications} {\bf 1}, pp. 150--174, Springer-Verlag.",
  rest =         "Springer-Verlag",
  rest =         "{\em The IMA volumes in mathematics and its
                 applications}",
  texsource =    "l-lec5.tex",
  texsource =    "l-lec20.tex",
  texsource =    "l-lec16.tex",
  texsource =    "l-lec12.tex",
  xxkey =        "xx1986a",
  xxtitle =      "Modelling the properties of composites by laminates",
}

@Article{Stroud:1986:AMD,
  author =       "D. Stroud and Graeme W. Milton and B. R. De",
  title =        "Analytical model for the dielectric response of
                 brine-saturated rocks",
  journal =      j-PHYS-REV-B-CMMP,
  volume =       "34",
  number =       "8",
  pages =        "5145--5153",
  day =          "15",
  month =        oct,
  year =         "1986",
  CODEN =        "PRBMDO",
  DOI =          "https://doi.org/10.1103/PhysRevB.34.5145",
  ISSN =         "1098-0121",
  ISSN-L =       "1098-0121",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRevB.34.5145",
  fjournal =     "Physical Review B: Condensed Matter and Materials Physics",
  journal-URL =  "http://prb.aps.org/browse",
}

@Article{Fisher:1987:ECF,
  author =       "Michael E. Fisher and Graeme W. Milton",
  title =        "Erratum: ``{Classifying} first-order phase
                 transitions'' [{Phys}.\ {A} {\bf 138} (1986), no.\ 1,
                 22--54; {MR0865235} (87k:82052)]",
  journal =      j-PHYSICA-A,
  volume =       "142",
  number =       "1-3",
  pages =        "649",
  year =         "1987",
  CODEN =        "PHYSAG",
  DOI =          "https://doi.org/10.1016/0378-4371(87)90048-3",
  ISSN =         "0378-4371 (print), 1873-2119 (electronic)",
  ISSN-L =       "0378-4371",
  MRclass =      "82A25 (82A97)",
  MRnumber =     "897288 (88h:82027)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  fjournal =     "Physica A. Statistical and Theoretical Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03784371",
}

@Article{Francfort:1987:OBC,
  author =       "G. A. Francfort and Graeme W. Milton",
  title =        "Optimal bounds for conduction in two-dimensional,
                 multiphase, polycrystalline media",
  journal =      j-J-STAT-PHYS,
  volume =       "46",
  number =       "1--2",
  pages =        "161--177",
  month =        jan,
  year =         "1987",
  CODEN =        "JSTPSB",
  DOI =          "https://doi.org/10.1007/BF01010338",
  ISSN =         "0022-4715 (print), 1572-9613 (electronic)",
  ISSN-L =       "0022-4715",
  MRclass =      "78A25",
  MRnumber =     "887243 (88m:78003)",
  bibdate =      "Thu Aug 28 18:38:02 MDT 2014",
  bibsource =    "http://link.springer.com/journal/10955;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=46&issue=1;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01010338",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of Statistical Physics",
  journal-URL =  "http://link.springer.com/journal/10955",
  originallab =  "GWM0264",
  originalref =  "Francfort G.A. and Milton G.W. 1987 Optimal bounds for
                 conduction in two-dimensional, multiphase,
                 polycrystalline media. {\em J. Stat. Phys.} {\bf 46},
                 161--177.",
  texsource =    "l-lec15.tex",
}

@Article{McPhedran:1987:TPT,
  author =       "Ross C. McPhedran and Graeme W. Milton",
  title =        "Transport properties of touching cylinder pairs and of
                 the square array of touching cylinders",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "411",
  number =       "1841",
  pages =        "313--326",
  day =          "8",
  month =        jun,
  year =         "1987",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1987.0069",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  bibdate =      "Wed Jun 8 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/411/1841/313",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
}

@Article{Milton:1987:MCEa,
  author =       "Graeme W. Milton",
  title =        "Multicomponent composites, electrical networks and new
                 types of continued fraction. {I}",
  journal =      j-COMMUN-MATH-PHYS,
  volume =       "111",
  number =       "2",
  pages =        "281--327",
  year =         "1987",
  CODEN =        "CMPHAY",
  DOI =          "https://doi.org/10.1007/BF01217763",
  ISSN =         "0010-3616 (print), 1432-0916 (electronic)",
  ISSN-L =       "0010-3616",
  MRclass =      "82A55 (73B99)",
  MRnumber =     "899853 (89b:82084)",
  MRreviewer =   "V. Mastrangelo",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://projecteuclid.org/euclid.cmp/1104159541",
  acknowledgement = ack-gwm,
  fjournal =     "Communications in Mathematical Physics",
  journal-URL =  "http://link.springer.com/journal/220",
  originallab =  "GWM0556",
  originallab =  "GWM0215",
  originalref =  "Milton G.W. 1987a Multicomponent composites,
                 electrical networks and new types of continued fraction
                 I. {\em Comm. Math. Phys.} {\bf 111}, 281--327.",
  originalref-2 = "Milton G.W. 1987 Multicomponent composites,
                 electrical networks and new types of continued fraction
                 I. {\em Comm. Math. Phys.} {\bf 111}, 281--327.",
  texsource =    "l-lec21.tex",
  texsource =    "l-lec13.tex",
}

@Article{Milton:1987:MCEb,
  author =       "Graeme W. Milton",
  title =        "Multicomponent composites, electrical networks and new
                 types of continued fraction. {II}",
  journal =      j-COMMUN-MATH-PHYS,
  volume =       "111",
  number =       "3",
  pages =        "329--372",
  year =         "1987",
  CODEN =        "CMPHAY",
  DOI =          "https://doi.org/10.1007/BF01238903",
  ISSN =         "0010-3616 (print), 1432-0916 (electronic)",
  ISSN-L =       "0010-3616",
  MRclass =      "82A55 (73B99 73F99 94C05)",
  MRnumber =     "900499 (89b:82085)",
  MRreviewer =   "V. Mastrangelo",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://projecteuclid.org/euclid.cmp/1104159635",
  acknowledgement = ack-gwm,
  fjournal =     "Communications in Mathematical Physics",
  journal-URL =  "http://link.springer.com/journal/220",
  originallab =  "GWM0557",
  originallab =  "GWM0273",
  originalref =  "Milton G.W. 1987b Multicomponent composites,
                 electrical networks and new types of continued fraction
                 II. {\em Comm. Math. Phys.} {\bf 111}, 329--372.",
  originalref-2 = "Milton G.W. 1987 Multicomponent composites,
                 electrical networks and new types of continued fraction
                 II. {\em Comm. Math. Phys.} {\bf 111}, 329--372.",
  texsource =    "l-lec21.tex",
  texsource =    "l-lec15.tex",
}

@Article{Avellaneda:1988:ECP,
  author =       "M. Avellaneda and Andrej V. Cherkaev and K. A. Lurie
                 and Graeme W. Milton",
  title =        "On the effective conductivity of polycrystals and a
                 three-dimensional phase-interchange inequality",
  journal =      j-J-APPL-PHYS,
  volume =       "63",
  number =       "10",
  pages =        "4989--5003",
  year =         "1988",
  CODEN =        "JAPIAU",
  DOI =          "https://doi.org/10.1063/1.340445",
  ISSN =         "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
  ISSN-L =       "0021-8979",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/jap/63/10/10.1063/1.340445",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of Applied Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jap/browse",
  originallab =  "GWM0676",
  originallab =  "GWM0421",
  originallab =  "GWM0389",
  originallab =  "GWM0257",
  originalref =  "Avellaneda M., Cherkaev A.V., Lurie K.A., and Milton
                 G.W. 1988 On the effective conductivity of polycrystals
                 and a three-dimensional phase-interchange inequality.
                 {\em J. Appl. Phys.} {\bf 63}, 4989--5003.",
  texsource =    "l-lec4.tex",
  texsource =    "l-lec18.tex",
  texsource =    "l-lec15.tex",
}

@Article{Berryman:1988:MRC,
  author =       "James G. Berryman and Graeme W. Milton",
  title =        "Microgeometry of random composites and porous media",
  journal =      j-J-PHYS-D,
  volume =       "21",
  number =       "1",
  pages =        "87--94",
  year =         "1988",
  CODEN =        "JPAPBE",
  DOI =          "https://doi.org/10.1088/0022-3727/21/1/013",
  ISSN =         "0022-3727 (print), 1361-6463 (electronic)",
  ISSN-L =       "0022-3727",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://iopscience.iop.org/0022-3727/21/1/013",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of Physics D: Applied Physics",
  journal-URL =  "http://iopscience.iop.org/0022-3727/",
  originallab =  "GWM0391",
  originallab =  "GWM0349",
  originalref =  "Berryman J.G. and Milton G.W. 1988 Microgeometry of
                 random composites and porous media. {\em J. Phys. D:
                 Appl. Phys.} {\bf 21}, 87--94.",
  texsource =    "l-lec18.tex",
  texsource =    "l-lec17.tex",
  xxURL =        "http://iopscience.iop.org/article/10.1088/0022-3727/21/1/013/",
}

@Article{McPhedran:1988:ASC,
  author =       "Ross C. McPhedran and L. Poladian and Graeme W.
                 Milton",
  title =        "Asymptotic studies of closely spaced, highly
                 conducting cylinders",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "415",
  number =       "1848",
  pages =        "185--196",
  year =         "1988",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1988.0009",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0831",
  originalref =  "McPhedran R.C., Poladian L., and Milton G.W. 1988
                 Asymptotic studies of closely spaced, highly conducting
                 cylinders. {\em Proc. Roy. Soc. Lond. A} {\bf 415},
                 185--196.",
  texsource =    "l-lec7.tex",
}

@Article{Milton:1988:CHE,
  author =       "Graeme W. Milton",
  title =        "Classical {Hall}-effect in two-dimensional composites:
                 a characterization of the set of realizable effective
                 conductivity tensors",
  journal =      j-PHYS-REV-B-CMMP,
  volume =       "38",
  number =       "16",
  pages =        "11296--11303",
  day =          "1",
  month =        dec,
  year =         "1988",
  CODEN =        "PRBMDO",
  DOI =          "https://doi.org/10.1103/PhysRevB.38.11296",
  ISSN =         "1098-0121",
  ISSN-L =       "1098-0121",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://journals.aps.org/prb/abstract/10.1103/PhysRevB.38.11296",
  acknowledgement = ack-gwm,
  fjournal =     "Physical Review B: Condensed Matter and Materials Physics",
  journal-URL =  "http://prb.aps.org/browse",
  originallab =  "GWM0530",
  originalref =  "Milton G.W. 1988 Classical Hall-effect in
                 two-dimensional composites: a characterization of the
                 set of realizable effective conductivity tensors. {\em
                 Phys. Rev. B} {\bf 38}, 11296--11303.",
  texsource =    "l-lec2.tex",
}

@Article{Milton:1988:VBE,
  author =       "Graeme W. Milton and Robert V. Kohn",
  title =        "Variational bounds on the effective moduli of
                 anisotropic composites",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "36",
  number =       "6",
  pages =        "597--629",
  year =         "1988",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/0022-5096(88)90001-4",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "73C40 (73C30 73C60 73K20 73R05)",
  MRnumber =     "969257 (90h:73015)",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0022509688900014",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  originallab =  "GWM0895",
  originallab =  "GWM0739",
  originallab =  "GWM0331",
  originalref =  "Milton G.W. and Kohn R.V., 1988 Variational bounds on
                 the effective moduli of anisotropic composites. {\em J.
                 Mech. Phys. Solids} {\bf 36}, 597--629.",
  texsource =    "l-lec9.tex",
  texsource =    "l-lec5.tex",
  texsource =    "l-lec16.tex",
}

@InProceedings{Avellaneda:1989:BEE,
  author =       "M. Avellaneda and Graeme W. Milton",
  editor =       "David Hui and Thomas J. Kozik",
  booktitle =    "{Composite material technology 1989: presented at the
                 twelfth Annual Energy-Sources Technology Conference and
                 Exhibition, Houston, Texas January 22--25, 1989}",
  title =        "Bounds on the effective elasticity tensor of
                 composites based on two point correlations",
  volume =       "PD-24",
  publisher =    pub-ASME,
  address =      pub-ASME:adr,
  bookpages =    "vi + 215",
  pages =        "89--93",
  year =         "1989",
  LCCN =         "TA 418.9.C6 C56 1989",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "Petroleum Division",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  originallab =  "GWM0723",
  texsource =    "l-lec5.tex",
  xxaddress =    "Houston, Texas",
  xxpublisher =  "American Society of Mechanical Engineers, Petroleum
                 Division",
}

@Article{Avellaneda:1989:CPP,
  author =       "Marco Avellaneda and A. V. Cherkaev and K. A. Lurie
                 and Graeme Milton",
  title =        "On the conductivity of polycrystals and a
                 phase-interchange inequality",
  journal =      j-PHYSICA-A,
  volume =       "157",
  number =       "1",
  pages =        "148--153",
  month =        may,
  year =         "1989",
  CODEN =        "PHYADX",
  DOI =          "https://doi.org/10.1016/0378-4371(89)90291-4",
  ISSN =         "0378-4371 (print), 1873-2119 (electronic)",
  ISSN-L =       "0378-4371",
  bibdate =      "Sat Nov 28 18:44:37 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0378437189902914",
  acknowledgement = ack-nhfb,
  fjournal =     "Physica A",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03784371",
}

@Article{Avellaneda:1989:OBE,
  author =       "Marco Avellaneda and Graeme W. Milton",
  title =        "Optimal Bounds on the Effective Bulk Modulus of
                 Polycrystals",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "824--837",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/0149048",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "73K20 (73B27 73V25)",
  MRnumber =     "997923 (91e:73088)",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
                 JSTOR database",
  URL =          "http://epubs.siam.org/doi/pdf/10.1137/0149048",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  bibno =        "64947",
  catcode =      "G.1.8; J.2; G.1.2; G.1.6",
  CRclass =      "G.1.8 Partial Differential Equations; G.1.8 Difference
                 methods; J.2 Physics; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.6 Optimization;
                 G.1.6 Constrained optimization",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
                 Differential Equations, Difference methods; Computer
                 Applications, PHYSICAL SCIENCES AND ENGINEERING,
                 Physics; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Constrained optimization",
  fjournal =     "SIAM Journal on Applied Mathematics",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09716",
  journal-URL =  "http://epubs.siam.org/siap",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  originallab =  "GWM0419",
  originallab =  "GWM0388",
  originallab =  "GWM0258",
  originalref =  "Avellaneda M. and Milton G.W. 1989 Optimal bounds on
                 the effective bulk modulus of polycrystals. {\em SIAM
                 J. Appl. Math.} {\bf 49}, 824--837.",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
  texsource =    "l-lec18.tex",
  texsource =    "l-lec15.tex",
}

@InProceedings{Tartar:1989:MSA,
  author =       "Luc Tartar",
  editor =       "Robert V. Kohn and Graeme W. Milton",
  booktitle =    "{Proceedings of the SIAM Workshop on Random Media and
                 Composites, Leesburg, Virginia, December 7--10, 1988}",
  title =        "{$H$}-measures and small amplitude homogenization",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  bookpages =    "214",
  pages =        "89--99",
  year =         "1989",
  ISBN =         "0-89871-246-7",
  ISBN-13 =      "978-0-89871-246-9",
  LCCN =         "TA401.3 .S53 1988",
  MRclass =      "00B25 (35-06 73-06 73B27 73B99 73K20 82B44 82C44)",
  MRnumber =     "1059286 (91b:00052)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  originallab =  "GWM0091",
  originalref =  "Tartar L. 1989 $H$-measures and small amplitude
                 homogenization. In {\em Random Media and Composites},
                 ed. by R.V.Kohn and G.W.Milton, pp. 89--99, Society for
                 Industrial and Applied Mathematics.",
  rest =         "Society for Industrial and Applied Mathematics",
  texsource =    "l-lec10.tex",
}

@Article{McPhedran:1990:ITP,
  author =       "Ross C. McPhedran and Graeme W. Milton",
  title =        "Inverse transport problems for composite media",
  journal =      j-MATER-RES-SOC-SYMP-PROC,
  volume =       "195",
  number =       "??",
  pages =        "257--274",
  year =         "1990",
  CODEN =        "MRSPDH",
  DOI =          "https://doi.org/10.1557/PROC-195-257",
  ISSN =         "1946-4274",
  ISSN-L =       "1946-4274",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://journals.cambridge.org/abstract_S1946427400554219",
  acknowledgement = ack-gwm,
  fjournal =     "Materials Research Society Symposium Proceedings",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=OPL",
  originallab =  "GWM0471",
  originalref =  "McPhedran R.C. and Milton G.W. 1990 Inverse transport
                 problems for composite media. {\em Mat. Res. Soc. Symp.
                 Proc.} {\bf 195}, 257--274.",
  texsource =    "l-lec19.tex",
}

@InCollection{Milton:1990:BRT,
  author =       "Graeme W. Milton",
  editor =       "G{\'e}rard A. Maugin",
  booktitle =    "{Continuum models and discrete systems: [contains the
                 texts of most of the short contributions presented at
                 the Sixth International Symposium on Continuum Models
                 and Discrete Systems \ldots{} held on the campus of the
                 University of Bourgogne, Dijon, France, from June 25 to
                 June 29, 1989] Vol. 1}",
  title =        "A brief review of the translation method for bounding
                 effective elastic tensors of composites",
  volume =       "1",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  bookpages =    "324",
  pages =        "60--74",
  year =         "1990",
  ISBN =         "0-582-05121-5",
  ISBN-13 =      "978-0-582-05121-8",
  MRclass =      "73K20 (73B27 73V25)",
  MRnumber =     "1100723 (92d:73035)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "Interaction of Mechanics and Mathematics Series,
                 Longman, Essex",
  acknowledgement = ack-gwm,
  originallab =  "GWM0408",
  originalref =  "Milton G.W. 1990 A brief review of the translation
                 method for bounding effective elastic tensors of
                 composites. In {\em Continuum Models and Discrete
                 Systems}, pp. 60--74, ed. by G.A.Maugin, Volume 1,
                 Interaction of Mechanics and Mathematics Series,
                 Longman, Essex.",
  rest =         "ed. by G.A.Maugin, Volume 1, Interaction of Mechanics
                 and Mathematics Series, Longman, Essex",
  texsource =    "l-lec18.tex",
}

@Article{Milton:1990:CSP,
  author =       "Graeme W. Milton",
  title =        "On characterizing the set of possible effective
                 tensors of composites: {The} variational method and the
                 translation method",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "43",
  number =       "1",
  pages =        "63--125",
  year =         "1990",
  CODEN =        "CPAMAT, CPMAMV",
  DOI =          "https://doi.org/10.1002/cpa.3160430104",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "73B27 (49S05 73K20)",
  MRnumber =     "1024190 (91c:73006)",
  MRreviewer =   "John M. Ball",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160430104/full",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Communications on Pure and Applied Mathematics (New
                 York)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
  originallab =  "GWM0894",
  originallab =  "GWM0871",
  originallab =  "GWM0738",
  originallab =  "GWM0407",
  originallab =  "GWM0329",
  originallab =  "GWM0274",
  originalref =  "Milton G.W. 1990 On characterizing the set of possible
                 effective tensors of composites: The variational method
                 and the translation method. {\em Comm. of Pure and
                 Appl. Math} {\bf XLIII}, 63--125.",
  originalref-2 = "Milton G.W. 1990 On characterizing the set of
                 possible effective tensors of composites: the
                 variational method and the translation method. {\em
                 Comm. Pure Appl. Math.} {\bf 43}, 63--125.",
  texsource =    "l-lec9.tex",
  texsource =    "l-lec5.tex",
  texsource =    "l-lec18.tex",
  texsource =    "l-lec16.tex",
  texsource =    "l-lec15.tex",
  xxURL =        "http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160430104/",
  xxvolume =     "XLIII",
}

@Article{Milton:1990:RCF,
  author =       "Graeme W. Milton and Kenneth M. Golden",
  title =        "Representations for the conductivity functions of
                 multicomponent composites",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "43",
  number =       "5",
  pages =        "647--671",
  year =         "1990",
  CODEN =        "CPAMAT, CPMAMV",
  DOI =          "https://doi.org/10.1002/cpa.3160430504",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "78A30",
  MRnumber =     "1057234 (91c:78009)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Communications on Pure and Applied Mathematics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
  originallab =  "GWM0559",
  originallab =  "GWM0275",
  originallab =  "GWM0201",
  originallab =  "GWM0086",
  originalref =  "Milton G.W. and Golden K. 1990 Representations for the
                 conductivity functions of multicomponent composites.
                 {\em Comm. Pure Appl. Math.} {\bf XLIII}, 647--671.",
  originalref-2 = "Milton G.W. and Golden K. 1990 Representations for
                 the conductivity functions of multicomponent
                 composites. {\em Comm. Pure Appl. Math.} {\bf 43},
                 647-671.",
  texsource =    "l-lec21.tex",
  texsource =    "l-lec15.tex",
  texsource =    "l-lec12.tex",
  texsource =    "l-lec10.tex",
  xxURL =        "http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160430504/",
  xxvolume =     "XLIII",
}

@Article{Berryman:1991:ERG,
  author =       "James G. Berryman and Graeme W. Milton",
  title =        "Exact results for generalized {Gassman}'s equations in
                 composite porous media with two constituents",
  journal =      j-GEOPHYSICS,
  volume =       "56",
  number =       "12",
  pages =        "1950--1960",
  month =        dec,
  year =         "1991",
  CODEN =        "GPYSA7",
  DOI =          "https://doi.org/10.1190/1.1443006",
  ISSN =         "0016-8033 (print), 1942-2156 (electronic)",
  ISSN-L =       "0016-8033",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://library.seg.org/doi/abs/10.1190/1.1443006",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Geophysics",
  journal-URL =  "http://library.seg.org/loi/gpysa7",
  originallab =  "GWM0623",
  originalref =  "Berryman J.G. and Milton G.W. 1991 Exact results for
                 generalized Gassman's equations in composite porous
                 media with two constituents. {\em Geophysics} {\bf 56},
                 1950--1960.",
  texsource =    "l-lec3.tex",
  xxURL =        "http://library.seg.org/doi/abs/10.1190/1.1443006",
}

@Unpublished{Kublanov:1991:REE,
  author =       "L. Kublanov and Graeme W. Milton",
  title =        "Rigorous estimates for the elastic moduli for a
                 two-dimensional two-phase material",
  pages =        "????",
  year =         "1991",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "Unpublished manuscript.",
  acknowledgement = ack-gwm,
  originallab =  "GWM0367",
  originalref =  "Kublanov L. and Milton G.W. 1991 Rigorous estimates
                 for the elastic moduli for a two-dimensional two-phase
                 material. {\em Unpublished manuscript}.",
  texsource =    "l-lec17.tex",
}

@InProceedings{Milton:1991:EMC,
  author =       "Robert V. Kohn and Graeme W. Milton",
  editor =       "Shun-Chin Chou",
  booktitle =    "Proceedings of [the] 12th Army Symposium on Solid
                 Mechanics: Synergism of Mechanics. Mathematics, and
                 Materials: 4--7 November 1991, Plymouth,
                 Massachusetts",
  title =        "Extremal Microstructures for Composite Materials",
  publisher =    "Defense Technical Information Center",
  address =      "Ft. Belvoir, VA 22060-5606, USA",
  bookpages =    "viii + 644",
  pages =        "75--84",
  year =         "1991",
  LCCN =         "TA349 .P6 1991",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA326997#page=74",
  acknowledgement = ack-nhfb,
  book-URL =     "http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA326997",
}

@InProceedings{Milton:1991:FER,
  author =       "Graeme W. Milton",
  editor =       "Gianni {Dal Maso} and Gianfausto F. Dell'Antonio",
  booktitle =    "Composite Media and Homogenization Theory: Proceedings
                 of the Workshop on Composite Media and Homogenization
                 Theory Held in Trieste, Italy, from January 15 to 26,
                 1990",
  title =        "The field equation recursion method",
  volume =       "5",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  bookpages =    "xiv + 258",
  pages =        "223--245",
  year =         "1991",
  DOI =          "https://doi.org/10.1007/978-1-4684-6787-1_13",
  ISBN =         "0-8176-3511-4, 3-7643-3511-4",
  ISBN-13 =      "978-0-8176-3511-4, 978-3-7643-3511-3",
  LCCN =         "QA808.2 .C665 1991",
  MRclass =      "73-06 (00B25 49J45 73B27 73K20 76S05) 78A25",
  MRnumber =     "1145753 (93b:73007); 1145740 (92h:73002)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "Progress in Nonlinear Differential Equations and Their
                 Applications",
  URL =          "http://link.springer.com/chapter/10.1007/978-1-4684-6787-1_13",
  acknowledgement = ack-gwm,
  book-DOI =     "https://doi.org/10.1007/978-1-4684-6787-1",
  book-URL =     "http://link.springer.com/book/10.1007/978-1-4684-6787-1",
  originallab =  "GWM0558",
  originallab =  "GWM0549",
  originallab =  "GWM0409",
  originallab =  "GWM0216",
  originalref =  "Milton G.W. 1991b The field equation recursion method.
                 In {\em Composite Media and Homogenization Theory}, ed.
                 by G. Dal Maso and G.F. Dell'Antonio, {\em Progress in
                 Nonlinear Differential Equations and Their
                 Applications} {\bf 5}, pp. 223--245, Birkh{\"a}user.",
  originalref-2 = "Milton G.W. 1991 The field equation recursion method.
                 In {\em Composite Media and Homogenization Theory}, ed.
                 by G. Dal Maso and G.F. Dell'Antonio, {\em Progress in
                 Nonlinear Differential Equations and Their
                 Applications} {\bf 5}, pp. 223--245, Birkh{\"a}user.",
  originalref-3 = "Milton G.W. 1991 The field equation recursion method.
                 In {\em Composite Media and Homogenization Theory}, pp.
                 223--245, ed. by G. Dal Maso and G.F. Dell'Antonio,
                 {\em Progress in Nonlinear Differential Equations and
                 Their Applications} {\bf 5}, Birkh{\"a}user.",
  rest =         "Birkh{\"a}user",
  texsource =    "l-lec21.tex",
  texsource =    "l-lec20.tex",
  texsource =    "l-lec18.tex",
  texsource =    "l-lec13.tex",
  xxbooktitle =  "Composite Media and Homogenization Theory: An
                 International Centre for Theoretical Physics workshop,
                 Trieste, Italy, January 1990",
}

@Article{Nesi:1991:PCM,
  author =       "Vincenzo Nesi and Graeme W. Milton",
  title =        "Polycrystalline configurations that maximize
                 electrical resistivity",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "39",
  number =       "4",
  pages =        "525--542",
  year =         "1991",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/0022-5096(91)90039-Q",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "73R05 (73B99 73K20 73V25 78A25 82D25)",
  MRnumber =     "1106125 (93a:73070)",
  MRreviewer =   "Philippe Boulanger",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002250969190039Q",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  originallab =  "GWM0607",
  originallab =  "GWM0433",
  originalref =  "Nesi V. and Milton G.W. 1991 Polycrystalline
                 configurations that maximize electrical resistivity.
                 {\em J. Mech. Phys. Solids} {\bf 39}, 525--542.",
  texsource =    "l-lec23.tex",
  texsource =    "l-lec18.tex",
  xxURL =        "http://www.sciencedirect.com/science/article/pii/002250969190039Q",
}

@Article{Smereka:1991:BFR,
  author =       "Peter Smereka and Graeme W. Milton",
  title =        "Bubbly flow and its relation to conduction in
                 composites",
  journal =      j-J-FLUID-MECH,
  volume =       "233",
  pages =        "65--81",
  month =        dec,
  year =         "1991",
  CODEN =        "JFLSA7",
  DOI =          "https://doi.org/10.1017/S0022112091000393",
  ISSN =         "0022-1120 (print), 1469-7645 (electronic)",
  ISSN-L =       "0022-1120",
  MRclass =      "76T05 (73B27 73K20 76D99)",
  MRnumber =     "1140079 (92i:76097)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://journals.cambridge.org/abstract_S0022112091000393",
  fjournal =     "Journal of Fluid Mechanics",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=FLM",
}

@Article{Berryman:1992:ERL,
  author =       "J. G. Berryman and Graeme W. Milton",
  title =        "Exact results in linear thermomechanics of fluid
                 saturated porous media",
  journal =      j-APPL-PHYS-LET,
  volume =       "61",
  number =       "17",
  pages =        "2030--??",
  day =          "26",
  month =        oct,
  year =         "1992",
  CODEN =        "APPLAB",
  DOI =          "https://doi.org/10.1063/1.108349",
  ISSN =         "0003-6951 (print), 1077-3118 (electronic), 1520-8842",
  ISSN-L =       "0003-6951",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/apl/61/17/10.1063/1.108349",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Physics Letters",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/apl",
}

@Article{Cherkaev:1992:IPS,
  author =       "Andrei V. Cherkaev and Konstantin A. Lurie and Graeme
                 W. Milton",
  title =        "Invariant properties of the stress in plane elasticity
                 and equivalence classes of composites",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "438",
  number =       "1904",
  pages =        "519--529",
  day =          "8",
  month =        sep,
  year =         "1992",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1992.0123",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  MRclass =      "73B27 (73C99 73K20)",
  MRnumber =     "1183894 (93g:73009)",
  bibdate =      "Thu Dec 16 15:46:41 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/438/1904/519",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society. London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0515",
  originalref =  "Cherkaev A.V., Lurie K.A., and Milton G.W. 1992
                 Invariant properties of the stress in plane elasticity
                 and equivalence classes of composites. {\em Proc. Roy.
                 Soc. London} A {\bf 438}, 519--529.",
  texsource =    "l-lec2.tex",
}

@Article{Milton:1992:CMP,
  author =       "Graeme W. Milton",
  title =        "Composite materials with {Poisson}'s ratios close to $
                 - 1 $",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "40",
  number =       "5",
  pages =        "1105--1137",
  month =        jul,
  year =         "1992",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/0022-5096(92)90063-8",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "73K20 (73B27 73C99)",
  MRnumber =     "1167758 (93c:73074)",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  originallab =  "GWM0576",
  originallab =  "GWM0029",
  originalref =  "Milton G.W. 1992 Composite materials with Poisson's
                 ratios close to $-1$. {\em J. Mech. Phys. Solids} {\bf
                 40}, 1105--1137.",
  texsource =    "l-lec1.tex",
  texsource =    "l-lec22.tex",
  xxURL =        "http://www.sciencedirect.com/science/article/pii/0022509692900638",
}

@Article{Gibiansky:1993:EVM,
  author =       "Leonid V. Gibiansky and Graeme W. Milton",
  title =        "On the effective viscoelastic moduli of two-phase
                 media. {I}. {Rigorous} bounds on the complex bulk
                 modulus",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "440",
  number =       "1908",
  pages =        "163--188",
  day =          "8",
  month =        jan,
  year =         "1993",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1993.0010",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  MRclass =      "73B27 (73F05 73K20 73V25)",
  MRnumber =     "1232831 (94h:73009)",
  MRreviewer =   "Bogdan Vernescu",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society. London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0304",
  originallab =  "GWM0213",
  originalref =  "Gibiansky L.V. and Milton G.W. 1993 On the effective
                 viscoelastic moduli of two-phase media. I. Rigorous
                 bounds on the complex bulk modulus. {\em Proc. Roy.
                 Soc. Lond. A} {\bf 440}, 163--188.",
  texsource =    "l-lec16.tex",
  texsource =    "l-lec13.tex",
  xxURL =        "http://rspa.royalsocietypublishing.org/content/440/1908/163",
}

@InProceedings{Gibiansky:1993:VCE,
  author =       "Leonid V. Gibiansky and Roderic S. Lakes and Graeme W.
                 Milton",
  editor =       "J. Herskovits",
  booktitle =    "Structural Optimization 93 (Proceedings of The 1993
                 World Congress on Optimal Design of Structural
                 Systems)",
  title =        "Viscoelastic composites with extremal properties",
  volume =       "1",
  publisher =    "Federal university of Rio de Janeiro",
  address =      "Rio de Janeiro, Brazil",
  bookpages =    "xvi + 480",
  pages =        "369--376",
  year =         "1993",
  LCCN =         "TA658.8 S928 1993",
  bibdate =      "Sat May 30 2009",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "The World Congress on Optimal Design of Structural
                 Systems Proceedings",
  acknowledgement = ack-gwm,
  xxISBN =       "none",
  xxISBN-13 =    "none",
}

@Article{Nicorovici:1993:TPT,
  author =       "N. A. Nicorovici and Ross C. McPhedran and Graeme W.
                 Milton",
  title =        "Transport properties of a three-phase composite
                 material: {The} square array of coated cylinders",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "442",
  number =       "1916",
  pages =        "599--620",
  day =          "8",
  month =        sep,
  year =         "1993",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1993.0124",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0832",
  originallab =  "GWM0202",
  originalref =  "Nicorovici N.A., McPhedran R.C., and Milton G.W. 1993
                 Transport properties of a three-phase composite
                 material: the square array of coated cylinders. {\em
                 Proc. Roy. Soc. Lond. A} {\bf 442}, 599--620.",
  texsource =    "l-lec7.tex",
  texsource =    "l-lec12.tex",
  xxURL =        "http://rspa.royalsocietypublishing.org/content/442/1916/599",
}

@Article{Clark:1994:MEC,
  author =       "Karen E. Clark and Graeme W. Milton",
  title =        "Modeling the effective conductivity function of an
                 arbitrary two-dimensional polycrystal using sequential
                 laminates",
  journal =      j-PROC-R-SOC-EDINB-SECT-A-MATH,
  volume =       "124",
  number =       "4",
  pages =        "757--783",
  year =         "1994",
  CODEN =        "PEAMDU",
  DOI =          "https://doi.org/10.1017/S030821050002864X",
  ISSN =         "0308-2105 (print), 1473-7124 (electronic)",
  ISSN-L =       "0308-2105",
  MRclass =      "73B27 (82D25)",
  MRnumber =     "1298591 (96b:73005)",
  MRreviewer =   "Albert Fannjiang",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society of Edinburgh. Section
                 A. Mathematics",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PRM",
  originallab =  "GWM0179",
  originalref =  "Clark K.E. and Milton G.W. 1994 Modeling the effective
                 conductivity function of an arbitrary two-dimensional
                 polycrystal using sequential laminates, {\em Proc. Roy.
                 Soc. Edinburgh} {\bf 124A}, 757--783.",
  texsource =    "l-lec12.tex",
  xxtitle =      "Modelling the effective conductivity function of an
                 arbitrary two-dimensional polycrystal using sequential
                 laminates",
}

@Article{Francfort:1994:SCE,
  author =       "Gilles A. Francfort and Graeme W. Milton",
  title =        "Sets of conductivity and elasticity tensors stable
                 under lamination",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "47",
  number =       "3",
  pages =        "257--279",
  year =         "1994",
  CODEN =        "CPAMAT, CPMAMV",
  DOI =          "https://doi.org/10.1002/cpa.3160470302",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "73B27 (73K20 78A25)",
  MRnumber =     "1266241 (95c:73004)",
  MRreviewer =   "J. Saint Jean Paulin",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160470302/full",
  acknowledgement = ack-gwm,
  fjournal =     "Communications on Pure and Applied Mathematics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
  originallab =  "GWM0567",
  originalref =  "Francfort G.A. and Milton G.W. 1994 Sets of
                 conductivity and elasticity tensors stable under
                 lamination. {\em Comm. Pure Appl. Math.} {\bf 47},
                 257--279.",
  texsource =    "l-lec22.tex",
}

@Article{Milton:1994:LBS,
  author =       "Graeme W. Milton",
  title =        "A link between sets of tensors stable under lamination
                 and quasiconvexity",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "47",
  number =       "7",
  pages =        "959--1003",
  year =         "1994",
  CODEN =        "CPAMAT, CPMAMV",
  DOI =          "https://doi.org/10.1002/cpa.3160470704",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "73B27 (73K20)",
  MRnumber =     "1283879 (95k:73004)",
  MRreviewer =   "Pablo Pedregal",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160470704/full",
  acknowledgement = ack-gwm,
  fjournal =     "Communications on Pure and Applied Mathematics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
  originallab =  "GWM0577",
  originallab =  "GWM0427",
  originallab =  "GWM0410",
  originalref =  "Milton G.W. 1994 A link between sets of tensors stable
                 under lamination and quasiconvexity. {\em Comm. Pure
                 Appl. Math.} {\bf XLVII}, 959--1003.",
  originalref-2 = "Milton G.W. 1994 A link between sets of tensors
                 stable under lamination and quasiconvexity. {\em Comm.
                 Pure Appl. Math.} {\bf 47}, 959--1003.",
  texsource =    "l-lec22.tex",
  texsource =    "l-lec18.tex",
  xxURL =        "http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160470704/",
  xxvolume =     "XLVII",
}

@Article{Nicorovici:1994:ODP,
  author =       "N. A. Nicorovici and Ross C. McPhedran and Graeme W.
                 Milton",
  title =        "Optical and dielectric properties of partially
                 resonant composites",
  journal =      j-PHYS-REV-B-CMMP,
  volume =       "49",
  number =       "12",
  pages =        "8479--8482",
  day =          "15",
  month =        mar,
  year =         "1994",
  CODEN =        "PRBMDO",
  DOI =          "https://doi.org/10.1103/PhysRevB.49.8479",
  ISSN =         "1098-0121",
  ISSN-L =       "1098-0121",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Physical Review B: Condensed Matter and Materials Physics",
  journal-URL =  "http://prb.aps.org/browse",
  texsource =    "l-lec7.tex",
  xxURL =        "http://journals.aps.org/prb/abstract/10.1103/PhysRevB.49.8479",
}

@Article{Clark:1995:OBC,
  author =       "Karen E. Clark and Graeme W. Milton",
  title =        "Optimal bounds correlating electric, magnetic and
                 thermal properties of two-phase, two-dimensional
                 composites",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "448",
  number =       "1933",
  pages =        "161--190",
  day =          "8",
  month =        feb,
  year =         "1995",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1995.0011",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  MRclass =      "78A30 (73B27 73B30 78-08 78A25)",
  MRnumber =     "1324960 (96a:78004)",
  MRreviewer =   "David J. Bergman",
  bibdate =      "Wed Sep 12 10:43:26 2001",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/448/1933/161",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society. London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0543",
  originalref =  "Clark K.E. and Milton G.W. 1995 Optimal bounds
                 correlating electric, magnetic and thermal properties
                 of two-phase, two-dimensional composites. {\em Proc.
                 Roy. Soc. Lond. A} {\bf 448}, 161--190.",
  texsource =    "l-lec20.tex",
  xxnote =       "OCLC ArticleFirst has both 1933 and 1934; 1934 is
                 wrong.",
  xxURL =        "http://rspa.royalsocietypublishing.org/content/448/1933/161",
}

@Article{Milton:1995:CBP,
  author =       "Graeme W. Milton and A. B. Movchan",
  title =        "A correspondence between plane elasticity and the
                 two-dimensional real and complex dielectric equations
                 in anisotropic media",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "450",
  number =       "1939",
  pages =        "293--317",
  month =        aug,
  year =         "1995",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1995.0086",
  ISSN =         "0080-4630",
  ISSN-L =       "0080-4630",
  MRclass =      "73B40 (73C02 73K20 78A25)",
  MRnumber =     "1349509 (96i:73011)",
  MRreviewer =   "J. Saint Jean Paulin",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  abstract =     "A correspondence between the two-dimensional complex
                 dielectric equations and those of plane-strain
                 elasticity is established. Specifically, homogeneous
                 orthotropic dielectric media are shown to correspond to
                 orthotropic elastic media, and by making an affine
                 transformation of the elasticity problem, we obtain
                 correspondences between orthotropic dielectric media
                 and non-orthotropic elastic media. We also find a
                 correspondence between the elasticity problem and a
                 pair of dielectric problems in which the dielectric
                 tensors are real. These correspondences are extended to
                 certain classes of inhomogeneous media. Applied to
                 composite materials, they imply exact relations between
                 the effective tensors of associated dielectric and
                 elasticity problems.",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society. London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0718",
  originallab =  "GWM0669",
  originalref =  "Milton G.W. and Movchan A.B. 1995 A correspondence
                 between plane elasticity and the two-dimensional real
                 and complex dielectric equations in anisotropic media.
                 {\em Proc. Roy. Soc. Lond.} A{\bf 450}, 293--317.",
  originalref-2 = "Milton G.W. and Movchan A.B. 1995 A correspondence
                 between plane elasticity and the two-dimensional real
                 and complex dielectric equations in anisotropic media.
                 {\em Proc. R. Soc. Lond. A} {\bf 450}, 293--317.",
  texsource =    "l-lec4.tex",
  texsource =    "l-lec3.tex",
  xxCODEN =      "PRSLAZ",
  xxISSN =       "0370-1662",
  xxjournal =    j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  xxURL =        "http://rspa.royalsocietypublishing.org/content/450/1939/293",
}

@Article{Milton:1995:WET,
  author =       "Graeme W. Milton and Andrej V. Cherkaev",
  title =        "Which elasticity tensors are realizable?",
  journal =      j-J-ENG-MATER-TECHNOL,
  volume =       "117",
  number =       "4",
  pages =        "483--493",
  day =          "1",
  month =        oct,
  year =         "1995",
  CODEN =        "JEMTA8",
  DOI =          "https://doi.org/10.1115/1.2804743",
  ISSN =         "0094-4289 (print), 1528-8889 (electronic)",
  ISSN-L =       "0094-4289",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of engineering materials and technology",
  journal-URL =  "http://materialstechnology.asmedigitalcollection.asme.org/issues.aspx",
  originallab =  "GWM0578",
  originalref =  "Milton G.W. and Cherkaev A.V. 1995 Which elasticity
                 tensors are realizable? {\em ASME J. Eng. Mat. Tech.}
                 {\bf 117}, 483--493.",
  texsource =    "l-lec22.tex",
  texsource =    "l-lec01b.tex",
  xxURL =        "http://materialstechnology.asmedigitalcollection.asme.org/article.aspx?articleID=1425346",
}

@Article{Avellaneda:1996:CCP,
  author =       "M. Avellaneda and Andrej V. Cherkaev and Leonid V.
                 Gibiansky and Graeme W. Milton and M. Rudelson",
  title =        "A complete characterization of the possible bulk and
                 shear moduli of planar polycrystals",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "44",
  number =       "7",
  pages =        "1179--1218",
  month =        jul,
  year =         "1996",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/0022-5096(96)00018-X",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002250969600018X",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the mechanics and physics of solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  originallab =  "GWM0843",
  originallab =  "GWM0420",
  originallab =  "GWM0390",
  originalref =  "Avellaneda M., Cherkaev A.V., Gibiansky L.V., Milton
                 G.W., and Rudelson M. 1996 A complete characterization
                 of the possible bulk and shear moduli of planar
                 polycrystals. {\em J. Mech. Phys. Solids} {\bf 44},
                 1179--1218.",
  texsource =    "l-lec8.tex",
  texsource =    "l-lec18.tex",
  xxURL =        "http://www.sciencedirect.com/science/article/pii/002250969600018X",
}

@Article{Berryman:1997:VBE,
  author =       "J. G. Berryman and Graeme W. Milton",
  title =        "Variational Bounds and Effective Medium Theories for
                 Viscoelastic Composites",
  journal =      "APS March Meeting Abstracts",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "1997",
  CODEN =        "",
  ISSN =         "",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://adsabs.harvard.edu/abs/1997APS..MAR.B1510B",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://adsabs.harvard.edu",
}

@Article{Helsing:1997:DRC,
  author =       "Johan Helsing and Graeme W. Milton and A. B. Movchan",
  title =        "Duality relations, correspondences and numerical
                 results for planar elastic composites",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "45",
  number =       "4",
  pages =        "565--590",
  year =         "1997",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/S0022-5096(96)00083-X",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "73K20 (73B27 73C02 73V20)",
  MRnumber =     "1449232 (98e:73092)",
  MRreviewer =   "Leonid V. Gibiansky",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S002250969600083X",
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  xxURL =        "http://www.sciencedirect.com/science/article/pii/S002250969600083X",
}

@InProceedings{Milton:1997:CMM,
  author =       "Graeme W. Milton",
  editor =       "T. Tatsumi and E. Watanabe and T. Kambe",
  booktitle =    "Theoretical and Applied Mechanics 1996: Proceedings of
                 the XIXth International Congress of Theoretical and
                 Applied Mechanics, Kyoto, Japan, 25--31 August 1996",
  title =        "Composites: {A} myriad of microstructure independent
                 relations",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  bookpages =    "xxxix + 623",
  pages =        "443--459",
  year =         "1997",
  ISBN =         "0-444-82446-4",
  ISBN-13 =      "978-0-444-82446-2",
  LCCN =         "QA801 .I39 1996",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  originallab =  "GWM0641",
  originallab =  "GWM0055",
  originalref =  "Milton G.W. 1997 Composites: A myriad of
                 microstructure independent relations. In {\em
                 Theoretical and Applied Mechanics 1996}, pp. 443--459,
                 ed. by T.Tatsumi, E.Watanabe, and T.Kambe, Elsevier.",
  originalref-2 = "Milton G.W. 1997 Composites: A myriad of
                 microstructure independent relations. {\em Theoretical
                 and Applied Mechanics 1996}, pp. 443--459, ed. by
                 T.Tatsumi, E.Watanabe, and T.Kambe, Elsevier.",
  rest =         "ed. by T.Tatsumi, E.Watanabe, and T.Kambe, Elsevier",
  texsource =    "l-lec3.tex",
  texsource =    "l-lec1.tex",
}

@Article{Milton:1997:ERC,
  author =       "Graeme W. Milton",
  title =        "Exact Relations for Composites: Towards a Complete
                 Solution",
  journal =      j-DOC-MATH,
  volume =       "Extra volume ICM 1998 III",
  pages =        "623--632",
  year =         "1997",
  ISSN =         "1431-0643",
  ISSN-L =       "1431-0635",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.mathunion.org/ICM/ICM1998.3/Main/16/Milton.MAN.ocr.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Documenta mathematica",
  journal-URL =  "http://www.math.uiuc.edu/documenta/",
}

@Article{Milton:1997:EVM,
  author =       "Graeme W. Milton and James G. Berryman",
  title =        "On the effective viscoelastic moduli of two-phase
                 media. {II}. {Rigorous} bounds on the complex shear
                 modulus in three dimensions",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "453",
  number =       "1964",
  pages =        "1849--1880",
  day =          "8",
  month =        sep,
  year =         "1997",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1997.0100",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "73B27 (73F05 73K20)",
  MRnumber =     "1478137 (99h:73004)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/453/1964/1849",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society. London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  originallab =  "GWM0330",
  originalref =  "Milton G.W. and Berryman J.G. 1997 On the effective
                 viscoelastic moduli of two-phase media. II. Rigorous
                 bounds on the complex shear modulus in three
                 dimensions. {\em Proc. Roy. Soc. Lond. A} {\bf 453},
                 1849--1880.",
  texsource =    "l-lec16.tex",
  xxURL =        "http://rspa.royalsocietypublishing.org/content/453/1964/1849",
}

@Article{Milton:1997:FFR,
  author =       "Graeme W. Milton and David J. Eyre and Joseph V.
                 Mantese",
  title =        "Finite frequency range {Kramers--Kronig} relations:
                 {Bounds} on the dispersion",
  journal =      j-PHYS-REV-LET,
  volume =       "79",
  number =       "16",
  pages =        "3062--3065",
  day =          "20",
  month =        oct,
  year =         "1997",
  CODEN =        "PRLTAO",
  DOI =          "https://doi.org/10.1103/PhysRevLett.79.3062",
  ISSN =         "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
  ISSN-L =       "0031-9007",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Physical Review Letters",
  journal-URL =  "http://prl.aps.org/browse",
  originallab =  "GWM0477",
  originalref =  "Milton G.W., Eyre D.J., and Mantese J.V. 1997 Finite
                 frequency range Kramers-Kronig relations: Bounds on the
                 dispersion. {\em Phys. Rev. Lett.} {\bf 79},
                 3062--3065.",
  texsource =    "l-lec19.tex",
  xxURL =        "http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.79.3062",
}

@InProceedings{Berryman:1998:TIP,
  author =       "James G. Berryman",
  editor =       "Kenneth M. Golden and G. R. Grimmett and R. D. James
                 and Graeme W. Milton and P. N. Sen",
  booktitle =    "Mathematics of Multiscale Materials",
  title =        "Transversely isotropic poroelasticity arising from
                 thin isotropic layers",
  volume =       "99",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "x + 280",
  pages =        "37--50",
  year =         "1998",
  DOI =          "https://doi.org/10.1007/978-1-4612-1728-2_3",
  ISBN =         "0-387-98528-X",
  ISBN-13 =      "978-0-387-98528-2",
  LCCN =         "TA405 .M395 1998",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "IMA Volumes in Mathematics and its Applications",
  URL =          "http://link.springer.com/chapter/10.1007/978-1-4612-1728-2_3",
  acknowledgement = ack-gwm,
  originallab =  "GWM0726",
  originalref =  "Berryman J.G. 1998 Transversely isotropic
                 poroelasticity arising from thin isotropic layers. In
                 {\em Mathematics of multiscale materials}, ed. by K.M.
                 Golden, G.R. Grimmett, R.D. James, G.W. Milton, and
                 P.N. Sen, IMA Volumes in mathematics and its
                 applications, {\bf 99}, pp.37--50, Springer-Verlag,
                 Berlin.",
  rest =         "Springer-Verlag, Berlin",
  texsource =    "l-lec5.tex",
}

@Article{Grabovsky:1998:ERC,
  author =       "Yury Grabovsky and Graeme W. Milton",
  booktitle =    "Proceedings of the {International} {Congress} of
                 {Mathematicians}, {Vol}. {III} ({Berlin}, 1998)",
  title =        "Exact relations for composites: towards a complete
                 solution",
  journal =      j-DOC-MATH,
  volume =       "Extra Volume ICM III",
  number =       "Extra Vol. III",
  pages =        "623--632",
  year =         "1998",
  ISSN =         "1431-0635",
  ISSN-L =       "1431-0635",
  MRclass =      "73B27 (35B27 49J45)",
  MRnumber =     "1648193 (99j:73008)",
  MRreviewer =   "David J. Bergman",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.math.uiuc.edu/documenta/xvol-icm/16/Milton.MAN.ps.gz",
  acknowledgement = ack-gwm,
  fjournal =     "Documenta Mathematica",
  journal-URL =  "http://www.math.uiuc.edu/documenta/",
  originallab =  "GWM0848",
  originalref =  "Grabovsky Y., and Milton G.W. 1998b Exact relations
                 for composites: towards a complete solution. {\em Doc.
                 Math. J. DMV, Extra volume ICM III} 623--632.",
  texsource =    "l-lec8.tex",
  xxnote =       "ZB has: 896.35013 Grabovsky, Yury; Milton, Graeme W.
                 Exact relations for composites: Towards a complete
                 solution. (English) Doc. Math., J. DMV Extra Vol. ICM
                 III, 623-632 (1998). MSC 1991: *35B27 73B27 73S10.",
}

@Article{Grabovsky:1998:ROP,
  author =       "Yury Grabovsky and Graeme W. Milton",
  title =        "Rank one plus a null-{Lagrangian} is an inherited
                 property of two-dimensional compliance tensors under
                 homogenisation",
  journal =      j-PROC-R-SOC-EDINB-SECT-A-MATH,
  volume =       "128",
  number =       "2",
  pages =        "283--299",
  year =         "1998",
  CODEN =        "PEAMDU",
  DOI =          "https://doi.org/10.1017/S0308210500012798",
  ISSN =         "0308-2105 (print), 1473-7124 (electronic)",
  ISSN-L =       "0308-2105",
  MRclass =      "73B27 (73C02 73K20)",
  MRnumber =     "1621339 (99b:73005)",
  MRreviewer =   "Leonid V. Gibiansky",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=8240207",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society of Edinburgh. Section
                 A. Mathematics",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=PRM",
  originallab =  "GWM0847",
  originalref =  "Grabovsky Y., and Milton G.W. 1998a Rank one plus a
                 null-Lagrangian is an inherited property of
                 two-dimensional compliance tensors under
                 homogenization. {\em Proc. Roy. Soc. Edin.} {\bf 128A},
                 283--299.",
  texsource =    "l-lec8.tex",
}

@Article{Milton:1998:MCP,
  author =       "Graeme W. Milton and A. B. Movchan",
  title =        "Mapping certain planar elasticity problems to
                 antiplane ones",
  journal =      j-EUR-J-MECH-A-SOLIDS,
  volume =       "17",
  number =       "1",
  pages =        "1--11",
  year =         "1998",
  CODEN =        "EJASEV",
  DOI =          "https://doi.org/10.1016/S0997-7538(98)80060-0",
  ISSN =         "0997-7538 (print), 1873-7285 (electronic)",
  ISSN-L =       "0997-7538",
  MRclass =      "73C02 (73B27 73B40)",
  MRnumber =     "1615969 (99a:73035)",
  MRreviewer =   "Leonid V. Gibiansky",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0997753898800600",
  acknowledgement = ack-gwm,
  fjournal =     "European Journal of Mechanics. A. Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09977538",
  originallab =  "GWM0670",
  originalref =  "Milton G.W. and Movchan A.B. 1998 Mapping certain
                 planar elasticity problems to antiplane ones. {\em Eur.
                 J. Mech., A/Solids} {\bf 17}, 1--11.",
  texsource =    "l-lec3.tex",
  xxURL =        "http://www.sciencedirect.com/science/article/pii/S0997753898800600",
}

@InProceedings{Nesi:1998:FPS,
  author =       "V. Nesi",
  editor =       "Kenneth M. Golden and G. R. Grimmett and R. D. James
                 and Graeme W. Milton and P. N. Sen",
  booktitle =    "Mathematics of Multiscale Materials",
  title =        "Fine properties of solutions to conductivity equations
                 with applications to composites",
  volume =       "99",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "x + 280",
  pages =        "179--208",
  year =         "1998",
  ISBN =         "0-387-98528-X",
  ISBN-13 =      "978-0-387-98528-2",
  LCCN =         "TA405 .M395 1998",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "IMA Volumes in Mathematics and its Applications",
  acknowledgement = ack-gwm,
  originallab =  "GWM0720",
  originalref =  "Nesi V. 1998 Fine properties of solutions to
                 conductivity equations with applications to composites.
                 In {\em Mathematics of multiscale materials}, ed. by
                 K.M. Golden, G.R. Grimmett, R.D. James, G.W. Milton,
                 and P.N. Sen, IMA Volumes in mathematics and its
                 applications, {\bf 99}, pp.179--208, Springer-Verlag,
                 Berlin.",
  rest =         "Springer-Verlag, Berlin",
  texsource =    "l-lec4.tex",
}

@Article{Eyre:1999:FNS,
  author =       "David J. Eyre and Graeme W. Milton",
  title =        "A fast numerical scheme for computing the response of
                 composites using grid refinement",
  journal =      j-EPJ-APPL-PHYS,
  volume =       "6",
  number =       "1",
  pages =        "41--47",
  month =        apr,
  year =         "1999",
  CODEN =        "EPAPFV",
  DOI =          "https://doi.org/10.1051/epjap:1999150",
  ISSN =         "1286-0042 (print), 1286-0050 (electronic)",
  ISSN-L =       "1286-0042",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.epjap.org/articles/epjap/abs/1999/04/ap8234/ap8234.html",
  acknowledgement = ack-gwm,
  fjournal =     "European Physical Journal. Applied Physics",
  journal-URL =  "http://www.epjap.org/",
  originallab =  "GWM0071",
  originalref =  "Eyre D.J. and Milton G.W. 1999 A fast numerical scheme
                 for computing the response of composites using grid
                 refinement. {\em Eur. Phys. J. Applied Physics} {\bf
                 6}, 41--47.",
  texsource =    "l-lec10.tex",
}

@Article{Gibiansky:1999:EVM,
  author =       "Leonid V. Gibiansky and Graeme W. Milton and James G.
                 Berryman",
  title =        "On the effective viscoelastic moduli of two-phase
                 media: {III}. {Rigorous} bounds on the complex shear
                 modulus in two dimensions",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "455",
  number =       "1986",
  pages =        "2117--2149",
  day =          "8",
  month =        jun,
  year =         "1999",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1999.0395",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "74Q20 (74D99 74E30)",
  MRnumber =     "1702750 (2000e:74095)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "The Royal Society of London. Proceedings. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  originallab =  "GWM0305",
  originalref =  "Gibiansky L.V., Milton G.W., and Berryman J.G. 1999 On
                 the effective viscoelastic moduli of two-phase media:
                 III. Rigorous bounds on the complex shear modulus in
                 two dimensions. {\em Proc. Roy. Soc. Lond. A} {\bf
                 455}, 2117--2149.",
  texsource =    "l-lec16.tex",
  xxURL =        "http://rspa.royalsocietypublishing.org/content/455/1986/2117",
}

@Article{Milton:1999:OCB,
  author =       "Graeme W. Milton and V. Nesi",
  title =        "Optimal {$G$}-closure bounds via stability under
                 lamination",
  journal =      j-ARCH-RAT-MECH-ANAL,
  volume =       "150",
  number =       "3",
  pages =        "191--207",
  month =        dec,
  year =         "1999",
  CODEN =        "AVRMAW",
  DOI =          "https://doi.org/10.1007/s002050050186",
  ISSN =         "0003-9527 (print), 1432-0673 (electronic)",
  ISSN-L =       "0003-9527",
  MRclass =      "74Q05 (49J45 74Q15)",
  MRnumber =     "1738117 (2001k:74085)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s002050050186",
  acknowledgement = ack-gwm,
  fjournal =     "Archive for Rational Mechanics and Analysis",
  journal-URL =  "http://link.springer.com/journal/205",
  originallab =  "GWM0784",
  originallab =  "GWM0579",
  originallab =  "GWM0332",
  originalref =  "Milton G.W. and Nesi V. 1999 Optimal $G$-closure
                 bounds via stability under lamination. {\em Arch. Rat.
                 Mech. Anal.} ****to appear",
  rest =         "****to appear",
  texsource =    "l-lec6.tex",
  texsource =    "l-lec22.tex",
  texsource =    "l-lec16.tex",
}

@InProceedings{Suquet:1999:NSE,
  author =       "Pierre M. Suquet and H. Moulinec",
  editor =       "Kenneth M. Golden and G. R. Grimmett and R. D. James
                 and Graeme W. Milton and P. N. Sen",
  booktitle =    "Mathematics of Multiscale Materials",
  title =        "Numerical simulation of the effective elastic
                 properties of a class of cell materials",
  volume =       "99",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "x + 280",
  pages =        "271--280",
  year =         "1999",
  ISBN =         "0-387-98528-X",
  ISBN-13 =      "978-0-387-98528-2",
  LCCN =         "TA405.M395 1998",
  bibdate =      "Fri Mar 31 13:45:09 MST 2000",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "The IMA Volumes in Mathematics and its Applications",
  acknowledgement = ack-gwm,
  texsource =    "l-lec2.tex",
}

@Article{Eyre:2000:BIC,
  author =       "David J. Eyre and Graeme W. Milton and Roderic S.
                 Lakes",
  title =        "Bounds for interpolating complex effective moduli of
                 viscoelastic materials from measured data",
  journal =      j-RHEOL-ACTA,
  volume =       "41",
  number =       "5",
  pages =        "461--470",
  year =         "2002",
  CODEN =        "RHEAAK",
  DOI =          "https://doi.org/10.1007/s003970100172",
  ISSN =         "0035-4511 (print), 1435-1528 (electronic)",
  ISSN-L =       "0035-4511",
  bibdate =      "Mon Apr 30 13:45:09 MST 2001",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s003970100172",
  acknowledgement = ack-gwm,
  fjournal =     "Rheologica acta",
  journal-URL =  "http://link.springer.com/journal/397",
  texsource =    "l-lec6.tex",
  texsource =    "l-lec22.tex",
}

@Article{Grabovsky:2000:ERE,
  author =       "Yury Grabovsky and Graeme W. Milton and Daniel S.
                 Sage",
  title =        "Exact relations for effective tensors of composites:
                 {Necessary} conditions and sufficient conditions",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "53",
  number =       "3",
  pages =        "300--353",
  month =        mar,
  year =         "2000",
  CODEN =        "CPAMAT, CPMAMV",
  DOI =          "https://doi.org/d8k4vw",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "74Q05 (74A40 74F15 78A48 78M40)",
  MRnumber =     "1725610 (2001m:74060)",
  MRreviewer =   "Konstantin A. Lurie",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "https://math.cst.temple.edu/~yury/exact.pdf",
  acknowledgement = ack-gwm,
  fjournal =     "Communications on Pure and Applied Mathematics (New
                 York)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
  originallab =  "GWM0849",
  originalref =  "Grabovsky Y., Milton G.W., and Sage D.S. 1999(?***)
                 Exact relations for effective tensors of composites:
                 Necessary conditions and sufficient conditions. {\em
                 Comm. Pure Appl. Math.} submitted.",
  remark =       "Short punctuation-free permanent DOI supplied by
                 http://shortdoi.org on Sun Nov 22 11:04:45 2015.",
  texsource =    "l-lec8.tex",
  xxDOI =        "https://doi.org/10.1002/(SICI)1097-0312(200003)53:3<300::AID-CPA2>3.0.CO%3B2-D",
}

@Article{Milton:2000:BCN,
  author =       "Graeme W. Milton and Sergey K. Serkov",
  title =        "Bounding the current in nonlinear conducting
                 composites",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "48",
  number =       "6--7",
  pages =        "1295--1324",
  day =          "1",
  month =        jun,
  year =         "2000",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/S0022-5096(99)00083-6",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74Q20 (74E30 78A48)",
  MRnumber =     "1766404 (2001c:74074)",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "The J. R. Willis 60th anniversary volume",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509699000836",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  originallab =  "GWM0428",
  originalref =  "Milton G.W. and Serkov S.K. 2000 Bounding the current
                 in nonlinear conducting composites. {\rm J. Mech. Phys.
                 Solids} to appear.",
  texsource =    "l-lec18.tex",
}

@Article{Solna:2000:BGV,
  author =       "Knut S{\o}lna and Graeme W. Milton",
  title =        "Bounds for the group velocity of electromagnetic
                 signals in two phase materials",
  journal =      j-PHYSICA-B,
  volume =       "279",
  number =       "1--3",
  pages =        "9--12",
  month =        apr,
  year =         "2000",
  CODEN =        "PHYBE3",
  DOI =          "https://doi.org/10.1016/S0921-4526(99)00654-7",
  ISSN =         "0921-4526 (print), 1873-2135 (electronic)",
  ISSN-L =       "0921-4526",
  bibdate =      "Fri Nov 5 13:45:09 MST 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0921452699006547",
  acknowledgement = ack-gwm,
  fjournal =     "Physica. B, Condensed matter",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09214526",
  originallab =  "GWM0837",
  originalref =  "Solna K. and Milton G.W. 1999 Bounds for the group
                 velocity of electromagnetic signals in two phase
                 materials. {\em Physica B}, ***to appear",
  rest =         "***to appear",
  texsource =    "l-lec7.tex",
}

@Article{Milton:2001:NCI,
  author =       "Graeme W. Milton and Sergey K. Serkov",
  title =        "Neutral coated inclusions in conductivity and
                 anti-plane elasticity",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "457",
  number =       "2012",
  pages =        "1973--1997",
  year =         "2001",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2001.0796",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "74F15 (74E05 74Q05 78A48)",
  MRnumber =     "1852434 (2002f:74021)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/457/2012/1973",
  fjournal =     "The Royal Society of London. Proceedings. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Milton:2001:NIC,
  author =       "Graeme W. Milton and S. K. Serkov",
  title =        "Neutral coated inclusions in conductivity and
                 anti-plane elasticity",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "457",
  number =       "2012",
  pages =        "1973--1997",
  day =          "8",
  month =        jul,
  year =         "2001",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2001.0796",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  bibdate =      "Fri Oct 20 13:45:09 MST 2000",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society A: Mathematical,
                 Physical, and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  texsource =    "l-lec04.tex",
  xxURL =        "http://rspa.royalsocietypublishing.org/content/457/2012/1973",
}

@Article{Milton:2001:PCC,
  author =       "Graeme W. Milton",
  title =        "Proof of a conjecture on the conductivity of
                 checkerboards",
  journal =      j-J-MATH-PHYS,
  volume =       "42",
  number =       "10",
  pages =        "4873--4882",
  month =        oct,
  year =         "2001",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1385564",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "82B20 (78A48)",
  MRnumber =     "1855103 (2003a:82013)",
  MRreviewer =   "E. J. Janse van Rensburg",
  bibdate =      "Thu Mar 28 19:47:19 MST 2002",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/jmp/42/10/10.1063/1.1385564",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@InCollection{Lukkassen:2002:HSR,
  author =       "Dag Lukkassen and Graeme W. Milton",
  booktitle =    "Function spaces, interpolation theory and related
                 topics ({Lund}, 2000)",
  title =        "On hierarchical structures and reiterated
                 homogenization",
  publisher =    "de Gruyter",
  address =      "Berlin, Germany",
  pages =        "355--368",
  year =         "2002",
  MRclass =      "35B27 (49J45 74Q05)",
  MRnumber =     "1943293 (2003k:35019)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
}

@Article{Milton:2002:CMM,
  author =       "Graeme W. Milton and Knut S{\o}lna",
  title =        "Can Mixing Materials Make Electromagnetic Signals
                 Travel Faster?",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "62",
  number =       "6",
  pages =        "2064--2091 (electronic)",
  year =         "2002",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/S0036139901385084",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "78A48 (35B27 35Q60 78M40)",
  MRnumber =     "1918307 (2003i:78007)",
  MRreviewer =   "Philip Huddleston",
  bibdate =      "Fri Jul 02 09:53:22 2004",
  bibsource =    "http://epubs.siam.org/toc/smjmap/62/6;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2000.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/38508",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
  texsource =    "l-lec7.tex",
  xxauthor =     "Knut S{\o}lna and Graeme W. Milton",
  xxnote =       "Check author order in PDF of original paper??",
  xxURL =        "http://epubs.siam.org/doi/abs/10.1137/S0036139901385084",
}

@Article{Milton:2002:EBS,
  author =       "Graeme W. Milton",
  title =        "Exact band structure for the scalar wave equation with
                 periodic complex moduli",
  journal =      j-PHYSICA-B,
  volume =       "338",
  number =       "1--4",
  pages =        "186--189",
  month =        oct,
  year =         "2003",
  CODEN =        "PHYBE3",
  DOI =          "https://doi.org/10.1016/S0921-4526(03)00484-8",
  ISSN =         "0921-4526 (print), 1873-2135 (electronic)",
  ISSN-L =       "0921-4526",
  bibdate =      "Mon Mar 31 13:45:09 MST 2003",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0921452603004848",
  fjournal =     "Physica. B, Condensed matter",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09214526",
  remark =       "Proceedings of the Sixth International Conference on
                 Electrical Transport and Optical Properties of
                 Inhomogeneous Media Snowbird, UT, USA 15--19 July
                 2002.",
  texsource =    "l-lec7.tex",
}

@Article{Benveniste:2003:NER,
  author =       "Y. Benveniste and Graeme W. Milton",
  title =        "New exact results for the effective electric, elastic,
                 piezoelectric and other properties of composite
                 ellipsoid assemblages",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "51",
  number =       "10",
  pages =        "1773--1813",
  month =        oct,
  year =         "2003",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/S0022-5096(03)00074-7",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74Q15 (74A60 74E30 78A48 78A55)",
  MRnumber =     "1993514 (2004f:74080)",
  bibdate =      "Fri Apr 15 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509603000747",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Milton:2003:RAS,
  author =       "Graeme W. Milton and S. K. Serkov and A. B. Movchan",
  title =        "Realizable (Average Stress, Average Strain) Pairs in a
                 Plate with Holes",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "63",
  number =       "3",
  pages =        "987--1028",
  year =         "2003",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/S0036139901395717",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "74Q20 (74K20 74P10)",
  MRnumber =     "1969685 (2005a:74084)",
  MRreviewer =   "Yury Grabovsky",
  bibdate =      "Fri Aug 15 05:31:40 MDT 2003",
  bibsource =    "http://epubs.siam.org/toc/smjmap/63/3;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2000.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/39571",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
}

@Article{Movchan:2003:RAS,
  author =       "A. B. Movchan and Graeme W. Milton and S. K. Serkov",
  title =        "Realizable (Average Stress, Average Strain) Pairs in a
                 Plate with Holes",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "63",
  number =       "3",
  pages =        "987--1028",
  year =         "2003",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/S0036139901395717",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  bibdate =      "Fri Aug 15 05:31:40 MDT 2003",
  bibsource =    "http://epubs.siam.org/toc/smjmap/63/3;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2000.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/39571",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
}

@Article{Briane:2004:CSC,
  author =       "Marc Briane and Graeme W. Milton and Vincenzo Nesi",
  title =        "Change of sign of the corrector's determinant for
                 homogenization in three-dimensional conductivity",
  journal =      j-ARCH-RAT-MECH-ANAL,
  volume =       "173",
  number =       "1",
  pages =        "133--150",
  year =         "2004",
  CODEN =        "AVRMAW",
  DOI =          "https://doi.org/10.1007/s00205-004-0315-8",
  ISSN =         "0003-9527 (print), 1432-0673 (electronic)",
  ISSN-L =       "0003-9527",
  MRclass =      "49J45 (74Q05)",
  MRnumber =     "2073507 (2005i:49015)",
  MRreviewer =   "Alexander A. Pankov",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s00205-004-0315-8",
  fjournal =     "Archive for Rational Mechanics and Analysis",
  journal-URL =  "http://link.springer.com/journal/205",
}

@Article{Milton:2004:EPB,
  author =       "Graeme W. Milton",
  title =        "The exact photonic band structure for a class of media
                 with periodic complex moduli",
  journal =      j-METHODS-APPL-ANAL,
  volume =       "11",
  number =       "3",
  pages =        "413--421",
  year =         "2004",
  ISSN =         "1073-2772 (print), 1945-0001 (electronic)",
  ISSN-L =       "1073-2772",
  MRclass =      "78A48 (35P05 35Q60)",
  MRnumber =     "2214684 (2006m:78013)",
  MRreviewer =   "Alexandre Fedorov",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://projecteuclid.org/euclid.maa/1147353063",
  ajournal =     "Methods Appl. Anal.",
  fjournal =     "Methods and Applications of Analysis",
  journal-URL =  "http://www.intlpress.com/MAA/",
}

@InProceedings{Milton:2004:ERP,
  author =       "Graeme W. Milton",
  editor =       "J. S. Yang",
  booktitle =    "{The 41st annual technical meeting of the Society of
                 Engineering Science (SES-2004) held at the Cornhusker
                 Hotel in downtown Lincoln, Nebraska during October
                 10--13, 2004}",
  title =        "Exact Results for the Piezoelectric Properties of
                 Composite Ellipsoid Assemblages (keynote lecture)",
  publisher =    pub-IOS,
  address =      pub-IOS:adr,
  pages =        "??--??",
  month =        "????",
  year =         "2004",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "1383-5416 (print), 1875-8800 (electronic)",
  ISSN-L =       "1383-5416",
  LCCN =         "????",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "International journal of applied electromagnetics and
                 mechanics",
  URL =          "https://ses.confex.com/ses/2004tm/techprogram/P1230.HTM",
  acknowledgement = ack-nhfb,
  book-URL =     "http://ses.confex.com/ses/2004tm/",
  journal-URL =  "http://ses.confex.com",
  series-URL =   "http://www.iospress.nl/journal/international-journal-of-applied-electromagnetics-and-mechanics/",
}

@InProceedings{Vinogradov:2004:BCC,
  author =       "Vladimir Vinogradov and Graeme W. Milton",
  editor =       "J. S. Yang",
  booktitle =    "{The 41st annual technical meeting of the Society of
                 Engineering Science (SES-2004) held at the Cornhusker
                 Hotel in downtown Lincoln, Nebraska during October
                 10--13, 2004}",
  title =        "Bounds on the creep of composites under hydrostatic
                 loading",
  publisher =    pub-IOS,
  address =      pub-IOS:adr,
  bookpages =    "????",
  pages =        "??--??",
  year =         "2004",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "1383-5416 (print), 1875-8800 (electronic)",
  ISSN-L =       "1383-5416",
  LCCN =         "????",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "International journal of applied electromagnetics and
                 mechanics",
  URL =          "https://ses.confex.com/ses/2004tm/techprogram/P1085.HTM",
  acknowledgement = ack-nhfb,
  book-URL =     "http://ses.confex.com/ses/2004tm/",
  book-URL =     "https://ses.confex.com/ses/2004tm/techprogram/MEETING.HTM",
  series-URL =   "http://www.iospress.nl/journal/international-journal-of-applied-electromagnetics-and-mechanics/",
}

@Article{Camar-Eddine:2005:NLI,
  author =       "M. Camar-Eddine and Graeme W. Milton",
  title =        "Non-local interactions in the homogenization closure
                 of thermoelectric functionals",
  journal =      j-ASYMPTOT-ANAL,
  volume =       "41",
  number =       "3--4",
  pages =        "259--276",
  year =         "2005",
  CODEN =        "ASANEZ",
  ISSN =         "0921-7134 (print), 1875-8576 (electronic)",
  ISSN-L =       "0921-7134",
  MRclass =      "35Q60 (35A15 78A99)",
  MRnumber =     "2127998 (2005k:35393)",
  MRreviewer =   "Norbert Weck",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://content.iospress.com/articles/asymptotic-analysis/asy667",
  fjournal =     "Asymptotic Analysis",
  journal-URL =  "http://content.iospress.com/journals/asymptotic-analysis",
}

@Article{Camar:2005:NLI,
  author =       "M. Camar-Eddine and Graeme W. Milton",
  title =        "Non-local interactions in the homogenization closure
                 of thermoelectric functionals",
  journal =      j-ASYMPTOT-ANAL,
  volume =       "41",
  number =       "3--4",
  pages =        "259--276",
  year =         "2005",
  CODEN =        "ASANEZ",
  ISSN =         "0921-7134 (print), 1875-8576 (electronic)",
  ISSN-L =       "0921-7134",
  bibdate =      "Tue Nov 14 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://content.iospress.com/articles/asymptotic-analysis/asy667",
  acknowledgement = ack-gwm,
  fjournal =     "Asymptotic analysis",
  journal-URL =  "http://content.iospress.com/journals/asymptotic-analysis",
}

@Article{Milton:2005:OPH,
  author =       "Graeme W. Milton",
  title =        "On Optimizing the Properties of Hierarchical Laminates
                 Using {Pontryagin}'s Maximum Principle",
  journal =      j-MULTISCALE-MODELING-SIMUL,
  volume =       "3",
  number =       "3",
  pages =        "658--679 (electronic)",
  year =         "2005",
  CODEN =        "MMSUBT",
  DOI =          "https://doi.org/10.1137/030602368",
  ISSN =         "1540-3459 (print), 1540-3467 (electronic)",
  ISSN-L =       "1540-3459",
  MRclass =      "74P10 (49K20 49N90 65K10 74N15 74Q20)",
  MRnumber =     "2136808 (2006d:74067)",
  MRreviewer =   "Yury Grabovsky",
  bibdate =      "Sat Apr 16 10:58:26 MDT 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/MMS/3/3;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siammms.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/60236",
  acknowledgement = ack-nhfb,
  fjournal =     "Multiscale Modeling and Simulation",
  journal-URL =  "http://epubs.siam.org/mms",
}

@Article{Milton:2005:PSQ,
  author =       "Graeme W. Milton and Nicolae-Alexandru P. Nicorovici
                 and Ross C. McPhedran and Viktor A. Podolskiy",
  title =        "A proof of superlensing in the quasistatic regime, and
                 limitations of superlenses in this regime due to
                 anomalous localized resonance",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "461",
  number =       "2064",
  pages =        "3999--4034",
  day =          "8",
  month =        dec,
  year =         "2005",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2005.1570",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "78A10",
  MRnumber =     "2186014 (2006h:78001)",
  bibdate =      "Mon Dec 12 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/461/2064/3999",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Podolskiy:2005:OSM,
  author =       "Viktor A. Podolskiy and Nicholas A. Kuhta and Graeme
                 W. Milton",
  title =        "Optimizing the superlens: manipulating geometry to
                 enhance the resolution",
  journal =      j-APPL-PHYS-LET,
  volume =       "87",
  number =       "23",
  pages =        "231113",
  day =          "5",
  month =        dec,
  year =         "2005",
  CODEN =        "APPLAB",
  DOI =          "https://doi.org/10.1063/1.2139620",
  ISSN =         "0003-6951 (print), 1077-3118 (electronic), 1520-8842",
  ISSN-L =       "0003-6951",
  bibdate =      "Mon Dec 12 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/apl/87/23/10.1063/1.2139620",
  acknowledgement = ack-gwm,
  fjournal =     "Applied Physics Letters",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/apl",
}

@Article{Vinogradov:2005:TCV,
  author =       "V. Vinogradov and Graeme W. Milton",
  title =        "The total creep of viscoelastic composites under
                 hydrostatic or antiplane loading",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "53",
  number =       "6",
  pages =        "1248--1279",
  month =        jun,
  year =         "2005",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2005.01.005",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74Q20 (74D99 74E30)",
  MRnumber =     "2137063 (2006a:74071)",
  MRreviewer =   "Sergio Guti{\'e}rrez",
  bibdate =      "Sun Jul 5 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509605000244",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@InCollection{Kang:2006:CPS,
  author =       "Hyeonbae Kang and Graeme W. Milton",
  booktitle =    "Inverse problems, multi-scale analysis and effective
                 medium theory",
  title =        "On conjectures of {P{\'o}lya--Szeg{\H{o}}} and
                 {Eshelby}",
  volume =       "408",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "75--80",
  year =         "2006",
  DOI =          "https://doi.org/10.1090/conm/408/07687",
  MRclass =      "35R30 (35J25)",
  MRnumber =     "2262351 (2007i:35244)",
  MRreviewer =   "Enno Pais",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "Contemp. Math.",
}

@Article{Milton:2006:CEA,
  author =       "Graeme W. Milton and Nicolae-Alexandru P. Nicorovici",
  title =        "On the cloaking effects associated with anomalous
                 localized resonance",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "462",
  number =       "2074",
  pages =        "3027--3059",
  month =        oct,
  year =         "2006",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2006.1715",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "78A55",
  MRnumber =     "2263683 (2008e:78018)",
  bibdate =      "Mon Jul 3 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/462/2074/3027",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Milton:2006:CEM,
  author =       "Graeme W. Milton and Marc Briane and John R. Willis",
  title =        "On cloaking for elasticity and physical equations with
                 a transformation invariant form",
  journal =      j-NEW-J-PHYS,
  volume =       "8",
  number =       "10",
  pages =        "248",
  year =         "2006",
  CODEN =        "NJOPFM",
  DOI =          "https://doi.org/10.1088/1367-2630/8/10/248",
  ISSN =         "1367-2630",
  ISSN-L =       "1367-2630",
  bibdate =      "Mon Nov 27 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://iopscience.iop.org/1367-2630/8/10/248",
  abstract =     "In this paper, we investigate how the form of the
                 conventional elastodynamic equations changes under
                 curvilinear transformations. The equations get mapped
                 to a more general form in which the density is
                 anisotropic and additional terms appear which couple
                 the stress not only with the strain but also with the
                 velocity, and the momentum gets coupled not only with
                 the velocity but also with the strain. These are a
                 special case of equations which describe the
                 elastodynamic response of composite materials, and
                 which it has been argued should apply to any material
                 which has microstructure below the scale of continuum
                 modelling. If composites could be designed with the
                 required moduli then it could be possible to design
                 elastic cloaking devices where an object is cloaked
                 from elastic waves of a given frequency. To an outside
                 observer it would appear as though the waves were
                 propagating in a homogeneous medium, with the object
                 and surrounding cloaking shell invisible. Other new
                 elastodynamic equations also retain their form under
                 curvilinear transformations. The question is raised as
                 to whether all equations of microstructured continua
                 have a form which is invariant under curvilinear space
                 or space-time coordinate transformations. We show that
                 the non-local bianisotropic electrodynamic equations
                 have this invariance under space-time transformations
                 and that the standard non-local, time-harmonic,
                 electromagnetic equations are invariant under space
                 transformations.",
  acknowledgement = ack-gwm,
  fjournal =     "New Journal of Physics",
  journal-URL =  "http://iopscience.iop.org/1367-2630",
  xxURL =        "http://stacks.iop.org/1367-2630/8/i=10/a=248",
  xxURL =        "http://iopscience.iop.org/article/10.1088/1367-2630/8/10/248/",
}

@Article{Milton:2006:CEP,
  author =       "Graeme W. Milton and Marc Briane and John R. Willis",
  title =        "On cloaking for elasticity and physical equations with
                 a transformation invariant form",
  journal =      j-NEW-J-PHYS,
  volume =       "8",
  number =       "10",
  pages =        "248",
  month =        oct,
  year =         "2006",
  CODEN =        "NJOPFM",
  DOI =          "https://doi.org/10.1088/1367-2630/8/10/248/",
  ISSN =         "1367-2630",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://iopscience.iop.org/article/10.1088/1367-2630/8/10/248/",
  acknowledgement = ack-nhfb,
  fjournal =     "New Journal of Physics",
  journal-URL =  "http://iopscience.iop.org/1367-2630",
}

@InProceedings{Milton:2006:CSF,
  author =       "Graeme W. Milton and N. A. P. Nicorovici",
  editor =       "Anonymous",
  booktitle =    "{Photonic metamaterials: from random to periodic,
                 technical digest: June 5--8, 2006, Westin Grand Bahama
                 Island Our Lucaya Resort, Grand Island, the Bahamas}",
  title =        "Cloaking: Science Fiction or Reality?",
  publisher =    "OSA Publishing",
  address =      "Washington, DC, USA",
  pages =        "??--??",
  year =         "2006",
  DOI =          "https://doi.org/10.1364/META.2006.TuA3",
  ISBN =         "1-55752-808-X",
  ISBN-13 =      "978-1-55752-808-7",
  LCCN =         "QC759.6 .P46 2006",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.osapublishing.org/abstract.cfm?uri=META-2006-TuA3",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://osapublishing.org",
}

@Article{Milton:2006:MNS,
  author =       "Graeme W. Milton and John R. Willis",
  title =        "On modifications of {Newton}'s second law and linear
                 continuum elastodynamics",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "463",
  number =       "2079",
  pages =        "855--880",
  year =         "2007",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2006.1795",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  bibdate =      "Wed Aug 23 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/463/2079/855",
  abstract =     "In this paper, we suggest a new perspective, where
                 Newton{\textquoteright}s second law of motion is
                 replaced by a more general law which is a better
                 approximation for describing the motion of seemingly
                 rigid macroscopic bodies. We confirm a finding of
                 Willis that the density of a body at a given frequency
                 of oscillation can be anisotropic. The relation between
                 the force and the acceleration is non-local (but
                 causal) in time. Conversely, for every response
                 function satisfying these properties, and having the
                 appropriate high-frequency limit, there is a model
                 which realizes that response function. In many
                 circumstances, the differences between
                 Newton{\textquoteright}s second law and the new law are
                 small, but there are circumstances, such as in
                 specially designed composite materials, where the
                 difference is enormous. For bodies which are not
                 seemingly rigid, the continuum equations of
                 elastodynamics govern behaviour and also need to be
                 modified. The modified versions of these equations
                 presented here are a generalization of the equations
                 proposed by Willis to describe elastodynamics in
                 composite materials. It is argued that these new sets
                 of equations may apply to all physical materials, not
                 just composites. The Willis equations govern the
                 behaviour of the average displacement field whereas one
                 set of new equations governs the behaviour of the
                 average-weighted displacement field, where the weighted
                 displacement field may attach zero weight to
                 {\textquoteleft}hidden{\textquoteright} areas in the
                 material where the displacement may be unobservable or
                 not defined. From knowledge of the average-weighted
                 displacement field, one obtains an approximate formula
                 for the ensemble averaged energy density. Two other
                 sets of new equations govern the behaviour when the
                 microstructure has microinertia, i.e. where there are
                 internal spinning masses below the chosen scale of
                 continuum modelling. In the first set, the average
                 displacement field is assumed to be observable, while
                 in the second set an average-weighted displacement
                 field is assumed to be observable.",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society A: Mathematical,
                 Physical, \& Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  xxyear =       "2006",
}

@Article{Milton:2006:OPL,
  author =       "Graeme W. Milton and Nicolae-Alexandru P. Nicorovici
                 and Ross C. McPhedran",
  title =        "Opaque perfect lenses",
  journal =      j-PHYSICA-B,
  volume =       "394",
  number =       "2",
  pages =        "171--175",
  day =          "15",
  month =        may,
  year =         "2007",
  CODEN =        "PHYBE3",
  DOI =          "https://doi.org/10.1016/j.physb.2006.12.010",
  ISSN =         "0921-4526 (print), 1873-2135 (electronic)",
  ISSN-L =       "0921-4526",
  bibdate =      "Fri Mar 21 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0921452606018941",
  acknowledgement = ack-gwm,
  fjournal =     "Physica. B, Condensed matter",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09214526",
  xxyear =       "2006",
}

@Article{Milton:2006:SCP,
  author =       "Graeme W. Milton and H. Kang",
  title =        "Solutions to the conjectures of
                 {P{\'o}lya--Szeg{\H{o}}} and {Eshelby}",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2006",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/math/0609374",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@InProceedings{Podolskiy:2006:OSG,
  author =       "Viktor A. Podolskiy and Nicholas A. Kuhta and Graeme
                 W. Milton",
  editor =       "Anonymous",
  booktitle =    "{CLEO/QELS 06: PhAST: Conference on Lasers and
                 Electro-optics: Quantum Electronics and Laser Science
                 Conference: Conference on Photonic Applications,
                 Systems and Technologies: technical digest CD-ROM, Long
                 Beach Convention Center, Long Beach, California, USA,
                 CLEO/QELS Conference: May 21-26, 2006: PhAST
                 Conference, May 22-25, 2006.: Lasers and Electro-optics
                 and 2006 Quantum Electronics and Laser Science
                 Conference, CLEO}",
  title =        "Optimizing the superlens geometry",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "??--??",
  month =        "????",
  year =         "2006",
  ISBN =         "1-55752-813-6",
  ISBN-13 =      "978-1-55752-813-1",
  LCCN =         "TA1673 .C63 2006",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.osapublishing.org/abstract.cfm?uri=QELS-2006-JWB84",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://osapublishing.org",
}

@Article{Briane:2007:BSF,
  author =       "Marc Briane and Graeme W. Milton",
  title =        "Bounds on strong field magneto-transport in
                 three-dimensional composites",
  journal =      j-J-MATH-PHYS,
  volume =       "52",
  number =       "10",
  pages =        "103705",
  month =        oct,
  year =         "2011",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.3644377",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Thu Oct 27 16:57:30 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v52/i10/p103705_s1",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  onlinedate =   "11 October 2011",
  pagecount =    "18",
  xxURL =        "http://scitation.aip.org/content/aip/journal/jmp/52/10/10.1063/1.3644377",
  xxyear =       "2007",
}

@Article{Cai:2007:NCM,
  author =       "Wenshan Cai and Uday K. Chettiar and Alexander V.
                 Kildishev and Vladimir M. Shalaev and Graeme W.
                 Milton",
  title =        "Nonmagnetic cloak with minimized scattering",
  journal =      j-APPL-PHYS-LET,
  volume =       "91",
  number =       "11",
  pages =        "111105",
  day =          "10",
  month =        sep,
  year =         "2007",
  CODEN =        "APPLAB",
  DOI =          "https://doi.org/10.1063/1.2783266",
  ISSN =         "0003-6951 (print), 1077-3118 (electronic), 1520-8842",
  ISSN-L =       "0003-6951",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Physics Letters",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/apl",
}

@Article{Cai:2007:NMC,
  author =       "Wenshan Cai and Uday K. Chettiar and Alexander V.
                 Kildishev and Vladimir M. Shalaev and Graeme W.
                 Milton",
  title =        "Nonmagnetic cloak with minimized scattering",
  journal =      j-APPL-PHYS-LET,
  volume =       "91",
  number =       "11",
  pages =        "111105",
  day =          "10",
  month =        sep,
  year =         "2007",
  CODEN =        "APPLAB",
  DOI =          "https://doi.org/10.1063/1.2783266",
  ISSN =         "0003-6951 (print), 1077-3118 (electronic), 1520-8842",
  ISSN-L =       "0003-6951",
  bibdate =      "Wed Aug 15 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://scitation.aip.org/content/aip/journal/apl/91/11/10.1063/1.2783266",
  acknowledgement = ack-gwm,
  fjournal =     "Applied Physics Letters",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/apl",
}

@Article{Cai:2007:NMCb,
  author =       "W. Cai and U. K. Chettiar and Graeme W. Milton and A.
                 V. Kildishev",
  title =        "Non-magnetic cloak without reflection",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2007",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/0707.3641",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@InProceedings{Milton:2007:CNP,
  author =       "Graeme W. Milton",
  editor =       "Anonymous",
  booktitle =    "{Photonic metamaterials: from random to periodic: 4--7
                 June 2007, Jackson Hole, Wyoming, United States}",
  title =        "Cloaking: A New Phenomenon in Electromagnetism and
                 Elasticity",
  publisher =    "OSA Publishing",
  address =      "Washington, DC, USA",
  pages =        "??--??",
  year =         "2007",
  DOI =          "https://doi.org/10.1364/META.2007.TuD1",
  ISBN =         "1-55752-839-X",
  ISBN-13 =      "978-1-55752-839-1",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.osapublishing.org/abstract.cfm?uri=META-2007-TuD1",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://osapublishing.org",
  pagecount =    "2",
}

@Article{Milton:2007:MNS,
  author =       "Graeme W. Milton and John R. Willis",
  title =        "On modifications of {Newton}'s second law and linear
                 continuum elastodynamics",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "463",
  number =       "2079",
  pages =        "855--880",
  month =        mar,
  year =         "2007",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2006.1795",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "74Q10 (74A40 74H45 74Q99)",
  MRnumber =     "2293080 (2007m:74118)",
  MRreviewer =   "Paolo Maria Mariano",
  bibdate =      "Sat Nov 21 09:12:03 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/463/2079/855",
  abstract =     "In this paper, we suggest a new perspective, where
                 Newton{\textquoteright}s second law of motion is
                 replaced by a more general law which is a better
                 approximation for describing the motion of seemingly
                 rigid macroscopic bodies. We confirm a finding of
                 Willis that the density of a body at a given frequency
                 of oscillation can be anisotropic. The relation between
                 the force and the acceleration is non-local (but
                 causal) in time. Conversely, for every response
                 function satisfying these properties, and having the
                 appropriate high-frequency limit, there is a model
                 which realizes that response function. In many
                 circumstances, the differences between
                 Newton{\textquoteright}s second law and the new law are
                 small, but there are circumstances, such as in
                 specially designed composite materials, where the
                 difference is enormous. For bodies which are not
                 seemingly rigid, the continuum equations of
                 elastodynamics govern behaviour and also need to be
                 modified. The modified versions of these equations
                 presented here are a generalization of the equations
                 proposed by Willis to describe elastodynamics in
                 composite materials. It is argued that these new sets
                 of equations may apply to all physical materials, not
                 just composites. The Willis equations govern the
                 behaviour of the average displacement field whereas one
                 set of new equations governs the behaviour of the
                 average-weighted displacement field, where the weighted
                 displacement field may attach zero weight to
                 {\textquoteleft}hidden{\textquoteright} areas in the
                 material where the displacement may be unobservable or
                 not defined. From knowledge of the average-weighted
                 displacement field, one obtains an approximate formula
                 for the ensemble averaged energy density. Two other
                 sets of new equations govern the behaviour when the
                 microstructure has microinertia, i.e. where there are
                 internal spinning masses below the chosen scale of
                 continuum modelling. In the first set, the average
                 displacement field is assumed to be observable, while
                 in the second set an average-weighted displacement
                 field is assumed to be observable.",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  xxyear =       "2006",
}

@Article{Milton:2007:NMM,
  author =       "Graeme W. Milton",
  title =        "New metamaterials with macroscopic behavior outside
                 that of continuum elastodynamics",
  journal =      j-NEW-J-PHYS,
  volume =       "9",
  number =       "10",
  pages =        "359",
  year =         "2007",
  CODEN =        "NJOPFM",
  DOI =          "https://doi.org/10.1088/1367-2630/9/10/359",
  ISSN =         "1367-2630",
  ISSN-L =       "1367-2630",
  bibdate =      "Tue Nov 6 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://iopscience.iop.org/1367-2630/9/10/359",
  abstract =     "Metamaterials are constructed such that, for a narrow
                 range of frequencies, the momentum density depends on
                 the local displacement gradient and the stress depends
                 on the local acceleration. In these models the momentum
                 density generally depends not only on the strain, but
                 also on the local rotation, and the stress is generally
                 not symmetric. A variant is constructed for which, at a
                 fixed frequency, the momentum density is independent of
                 the local rotation (but still depends on the strain)
                 and the stress is symmetric (but still depends on the
                 acceleration). Generalizations of these metamaterials
                 may be useful in the design of elastic cloaking
                 devices.",
  acknowledgement = ack-gwm,
  fjournal =     "New Journal of Physics",
  journal-URL =  "http://iopscience.iop.org/1367-2630",
  xxURL =        "http://stacks.iop.org/1367-2630/9/i=10/a=359",
  xxURL =        "http://iopscience.iop.org/article/10.1088/1367-2630/9/10/359/",
}

@Article{Nicorovici:2007:QCT,
  author =       "Nicolae-Alexandru P. Nicorovici and Graeme W. Milton
                 and Ross C. McPhedran and Lindsay C. Botten",
  title =        "Quasistatic cloaking of two-dimensional polarizable
                 discrete systems by anomalous resonance",
  journal =      j-OPT-EXPRESS,
  volume =       "15",
  number =       "10",
  pages =        "6314--6323",
  day =          "14",
  month =        may,
  year =         "2007",
  CODEN =        "OPEXFF",
  DOI =          "https://doi.org/10.1364/OE.15.006314",
  ISSN =         "1094-4087",
  ISSN-L =       "1094-4087",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "https://www.osapublishing.org/oe/abstract.cfm?uri=oe-15-10-6314",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Optics Express",
  journal-URL =  "http://opticsexpress.org/Issue.cfm",
}

@Article{Briane:2008:GHE,
  author =       "Marc Briane and Graeme W. Milton",
  title =        "Giant {Hall} effect in composites",
  journal =      j-MULTISCALE-MODELING-SIMUL,
  volume =       "7",
  number =       "3",
  pages =        "1405--1427",
  year =         "2008",
  CODEN =        "MMSUBT",
  DOI =          "https://doi.org/10.1137/08073189X",
  ISSN =         "1540-3459 (print), 1540-3467 (electronic)",
  ISSN-L =       "1540-3459",
  MRclass =      "35B27 (74Q15 78A55 81V70)",
  MRnumber =     "2496707 (2010m:35021)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://epubs.siam.org/doi/abs/10.1137/08073189X",
  fjournal =     "Multiscale Modeling \& Simulation. A SIAM
                 Interdisciplinary Journal",
  journal-URL =  "http://epubs.siam.org/mms",
}

@Article{Briane:2008:HTD,
  author =       "M. Briane and D. Manceau and Graeme W. Milton",
  title =        "Homogenization of the two-dimensional {Hall} effect",
  journal =      j-J-MATH-ANAL-APPL,
  volume =       "339",
  number =       "2",
  pages =        "1468--1484",
  day =          "15",
  month =        mar,
  year =         "2008",
  CODEN =        "JMANAK",
  DOI =          "https://doi.org/10.1016/j.jmaa.2007.07.044",
  ISSN =         "0022-247x (print), 1096-0813 (electronic)",
  ISSN-L =       "0022-247X",
  MRclass =      "81V70 (35B27 49J45)",
  MRnumber =     "2377101 (2008k:81378)",
  MRreviewer =   "Alain Brillard",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022247X07009055",
  fjournal =     "Journal of Mathematical Analysis and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022247X",
}

@Article{Kang:2008:IPS,
  author =       "Hyeonbae Kang and Eunjoo Kim and Graeme W. Milton",
  title =        "Inclusion Pairs Satisfying {Eshelby}'s Uniformity
                 Property",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "69",
  number =       "2",
  pages =        "577--595",
  month =        "????",
  year =         "2008",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/070691358",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "74M25 (30C20 35J25 74P99 74Q05)",
  MRnumber =     "2465857 (2009i:74077)",
  MRreviewer =   "Pham Duc Chinh",
  bibdate =      "Mon May 17 18:38:59 MDT 2010",
  bibsource =    "http://epubs.siam.org/toc/smjmap/69/2;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2000.bib",
  URL =          "http://epubs.siam.org/doi/abs/10.1137/070691358",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
}

@Article{Kang:2008:SPS,
  author =       "Hyeonbae Kang and Graeme W. Milton",
  title =        "Solutions to the {P{\'o}lya--Szeg{\H{o}}} Conjecture
                 and the {Weak Eshelby Conjecture}",
  journal =      j-ARCH-RAT-MECH-ANAL,
  volume =       "188",
  number =       "1",
  pages =        "93--116",
  month =        apr,
  year =         "2008",
  CODEN =        "AVRMAW",
  DOI =          "https://doi.org/10.1007/s00205-007-0087-z",
  ISSN =         "0003-9527 (print), 1432-0673 (electronic)",
  ISSN-L =       "0003-9527",
  MRclass =      "74G40 (35J55 35Q72 49Q05 74B05)",
  MRnumber =     "2379654 (2009j:74046)",
  bibdate =      "Mon Nov 7 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s00205-007-0087-z",
  acknowledgement = ack-gwm,
  fjournal =     "Archive for Rational Mechanics and Analysis",
  journal-URL =  "http://link.springer.com/journal/205",
}

@Article{Milton:2008:EC,
  author =       "Graeme W. Milton and P. Seppecher",
  title =        "Electromagnetic circuits",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2008",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/0805.1079",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@Article{Milton:2008:RRM,
  author =       "Graeme W. Milton and Pierre Seppecher",
  title =        "Realizable response matrices of multi-terminal
                 electrical, acoustic and elastodynamic networks at a
                 given frequency",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "464",
  number =       "2092",
  pages =        "967--986",
  month =        apr,
  year =         "2008",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2007.0345",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "94C05 (74E30)",
  MRnumber =     "2379501 (2009d:94171)",
  MRreviewer =   "D. Stanomir",
  bibdate =      "Tue May 6 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/464/2092/967",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Milton:2008:SFG,
  author =       "Graeme W. Milton and Nicolae-Alexandru P. Nicorovici
                 and Ross C. McPhedran and Kirill Cherednichenko and
                 Zubin Jacob",
  title =        "Solutions in folded geometries, and associated
                 cloaking due to anomalous resonance",
  journal =      j-NEW-J-PHYS,
  volume =       "10",
  number =       "11",
  pages =        "115021",
  month =        nov,
  year =         "2008",
  CODEN =        "NJOPFM",
  DOI =          "https://doi.org/10.1088/1367-2630/10/11/115021",
  ISSN =         "1367-2630",
  ISSN-L =       "1367-2630",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://stacks.iop.org/1367-2630/10/i=11/a=115021",
  abstract =     "Solutions for the fields in a coated cylinder where
                 the core radius is bigger than the shell radius are
                 seemingly unphysical, but can be given a physical
                 meaning if one transforms to an equivalent problem by
                 unfolding the geometry. In particular, the unfolded
                 material can act as an impedance matched hyperlens, and
                 as the loss in the lens goes to zero finite collections
                 of polarizable line dipoles lying within a critical
                 region surrounding the hyperlens are shown to be
                 cloaked having vanishingly small dipole moments. This
                 cloaking, which occurs both in the folded geometry and
                 the equivalent unfolded one, is due to anomalous
                 resonance, where the collection of dipoles generates an
                 anomalously resonant field, which acts back on the
                 dipoles to essentially cancel the external fields
                 acting on them.",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "New Journal of Physics",
  journal-URL =  "http://iopscience.iop.org/1367-2630",
  xxURL =        "http://iopscience.iop.org/article/10.1088/1367-2630/10/11/115021/",
}

@Article{Vinogradov:2008:AFA,
  author =       "V. Vinogradov and Graeme W. Milton",
  title =        "An accelerated {FFT} algorithm for thermoelastic and
                 non-linear composites",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "76",
  number =       "11",
  pages =        "1678--1695",
  year =         "2008",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.2375",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  MRclass =      "74S30 (74A40)",
  MRnumber =     "2468562 (2009m:74099)",
  MRreviewer =   "Stan Chiri{\c{t}}{\u{a}}",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
}

@Article{Briane:2009:GHE,
  author =       "Marc Briane and Graeme W. Milton",
  title =        "Giant {Hall} Effect in Composites",
  journal =      j-MULTISCALE-MODELING-SIMUL,
  volume =       "7",
  number =       "3",
  pages =        "1405--1427",
  month =        "????",
  year =         "2009",
  CODEN =        "MMSUBT",
  DOI =          "https://doi.org/10.1137/08073189X",
  ISSN =         "1540-3459 (print), 1540-3467 (electronic)",
  ISSN-L =       "1540-3459",
  bibdate =      "Wed May 19 17:34:41 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/MMS/7/3;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siammms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Multiscale Modeling and Simulation",
  journal-URL =  "http://epubs.siam.org/mms",
}

@Article{Briane:2009:HTD,
  author =       "Marc Briane and Graeme W. Milton",
  title =        "Homogenization of the three-dimensional {Hall} effect
                 and change of sign of the {Hall} coefficient",
  journal =      j-ARCH-RAT-MECH-ANAL,
  volume =       "193",
  number =       "3",
  pages =        "715--736",
  month =        sep,
  year =         "2009",
  CODEN =        "AVRMAW",
  DOI =          "https://doi.org/10.1007/s00205-008-0200-y",
  ISSN =         "0003-9527 (print), 1432-0673 (electronic)",
  ISSN-L =       "0003-9527",
  MRclass =      "78A48 (35B27 35C20 74E10 74Q05)",
  MRnumber =     "2525116 (2010d:78025)",
  MRreviewer =   "Alain Brillard",
  bibdate =      "Sat Oct 31 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s00205-008-0200-y",
  acknowledgement = ack-gwm,
  fjournal =     "Archive for Rational Mechanics and Analysis",
  journal-URL =  "http://link.springer.com/journal/205",
}

@Article{GuevaraVasquez:2009:AEC,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Active exterior cloaking for the {$2$D} {Laplace} and
                 {Helmholtz} equations",
  journal =      j-PHYS-REV-LET,
  volume =       "103",
  number =       "7",
  pages =        "073901",
  day =          "7",
  month =        aug,
  year =         "2009",
  CODEN =        "PRLTAO",
  DOI =          "https://doi.org/10.1103/PhysRevLett.103.073901",
  ISSN =         "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
  ISSN-L =       "0031-9007",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.103.073901",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review Letters",
  journal-URL =  "http://prl.aps.org/browse",
  pagecount =    "4",
}

@Article{GuevaraVasquez:2009:AECb,
  author =       "F. {Guevara Vasquez} and Graeme W. Milton",
  title =        "Active Exterior Cloaking",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2009",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://adsabs.harvard.edu/abs/2009arXiv0906.1544G",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@Article{McPhedran:2009:CPR,
  author =       "Ross C. McPhedran and Nicolae-Alexandru P. Nicorovici
                 and Lindsay C. Botten and Graeme W. Milton",
  title =        "Cloaking by plasmonic resonance among systems of
                 particles: cooperation or combat?",
  journal =      j-C-R-PHYS,
  volume =       "10",
  number =       "5",
  pages =        "391--399",
  month =        jun,
  year =         "2009",
  CODEN =        "CRPOBN",
  DOI =          "https://doi.org/10.1016/j.crhy.2009.03.007",
  ISSN =         "1631-0705 (print), 1878-1535 (electronic)",
  ISSN-L =       "1631-0705",
  bibdate =      "Sat Nov 28 18:44:37 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S1631070509000413",
  acknowledgement = ack-nhfb,
  fjournal =     "Comptes Rendus Physique",
  journal-URL =  "http://www.sciencedirect.com/science/journal/16310705",
}

@Article{Milton:2009:MVP,
  author =       "Graeme W. Milton and Pierre Seppecher and Guy
                 Bouchitt{\'e}",
  title =        "Minimization variational principles for acoustics,
                 elastodynamics and electromagnetism in lossy
                 inhomogeneous bodies at fixed frequency",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "465",
  number =       "2102",
  pages =        "367--396",
  day =          "8",
  month =        feb,
  year =         "2009",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2008.0195",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "74B05 (49S05 76Q05 78A25)",
  MRnumber =     "2471764 (2009m:74013)",
  MRreviewer =   "Sven Ivansson",
  bibdate =      "Thu May 28 2009",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/465/2102/367",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Vasquez:2009:AEC,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Active exterior cloaking for the {$2$D} {Laplace} and
                 {Helmholtz} equations",
  journal =      j-PHYS-REV-LET,
  volume =       "103",
  number =       "7",
  pages =        "073901",
  day =          "14",
  month =        aug,
  year =         "2009",
  CODEN =        "PRLTAO",
  DOI =          "https://doi.org/10.1103/PhysRevLett.103.073901",
  ISSN =         "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
  ISSN-L =       "0031-9007",
  bibdate =      "Fri May 29 2009",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.103.073901",
  acknowledgement = ack-gwm,
  fjournal =     "Physical Review Letters",
  journal-URL =  "http://prl.aps.org/browse",
}

@Article{Vasquez:2009:BEC,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Broadband exterior cloaking",
  journal =      j-OPT-EXPRESS,
  volume =       "17",
  number =       "17",
  pages =        "14800--14805",
  day =          "17",
  month =        aug,
  year =         "2009",
  CODEN =        "OPEXFF",
  DOI =          "https://doi.org/10.1364/OE.17.014800",
  ISSN =         "1094-4087",
  ISSN-L =       "1094-4087",
  bibdate =      "Fri May 29 2009",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "https://www.osapublishing.org/oe/abstract.cfm?uri=oe-17-17-14800",
  acknowledgement = ack-gwm,
  fjournal =     "Optics Express",
  journal-URL =  "http://opticsexpress.org/Issue.cfm",
}

@Article{Ammari:2010:PSE,
  author =       "Habib Ammari and Yves Capdeboscq and Hyeonbae Kang and
                 Hyundae Lee and Graeme W. Milton and Habib Zribi",
  title =        "Progress on the strong {Eshelby}'s conjecture and
                 extremal structures for the elastic moment tensor",
  journal =      j-J-MATH-PURES-APPL,
  volume =       "94",
  number =       "1",
  pages =        "93--106",
  year =         "2010",
  CODEN =        "JMPAAM",
  DOI =          "https://doi.org/10.1016/j.matpur.2010.01.003",
  ISSN =         "0021-7824 (print), 1776-3371 (electronic)",
  ISSN-L =       "0021-7824",
  MRclass =      "74G55 (74B05 74Q05)",
  MRnumber =     "2653981 (2011h:74049)",
  bibdate =      "Thu Apr 16 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021782410000115",
  acknowledgement = ack-gwm,
  fjournal =     "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00217824",
}

@Article{Benveniste:2010:EMAa,
  author =       "Y. Benveniste and Graeme W. Milton",
  title =        "The effective medium and the average field
                 approximations vis-{\`a}-vis the {Hashin--Shtrikman}
                 bounds. {I}. {The} self-consistent scheme in
                 matrix-based composites",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "58",
  number =       "7",
  pages =        "1026--1038",
  month =        jul,
  year =         "2010",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2010.04.014",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74A40 (74B05 74M25)",
  MRnumber =     "2642449",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509610000839",
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Benveniste:2010:EMAb,
  author =       "Y. Benveniste and Graeme W. Milton",
  title =        "The effective medium and the average field
                 approximations vis-{\`a}-vis the {Hashin--Shtrikman}
                 bounds. {II}. {The} generalized self-consistent scheme
                 in matrix-based composites",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "58",
  number =       "7",
  pages =        "1039--1056",
  month =        jul,
  year =         "2010",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2010.04.013",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74A40 (74B05 74M25)",
  MRnumber =     "2642450",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509610000827",
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Briane:2010:AEH,
  author =       "Marc Briane and Graeme W. Milton",
  title =        "An Antisymmetric Effective {Hall} Matrix",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "70",
  number =       "6",
  pages =        "1810--1820",
  month =        "????",
  year =         "2010",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/09075901X",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "35B27 (35Q74 74Q15 78A48 81V70)",
  MRnumber =     "2596502 (2011b:35031)",
  MRreviewer =   "Nicolas Charalambakis",
  bibdate =      "Mon May 17 18:39:21 MDT 2010",
  bibsource =    "http://epubs.siam.org/toc/smjmap/70/6;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2010.bib",
  URL =          "http://epubs.siam.org/doi/abs/10.1137/09075901X",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
}

@Article{Briane:2010:NBS,
  author =       "Marc Briane and Graeme W. Milton",
  title =        "New Bounds on Strong Field Magneto-Transport in
                 Multiphase Columnar Composites",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "70",
  number =       "8",
  pages =        "3272--3286",
  month =        "????",
  year =         "2010",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/100798090",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "35B27 (74Q20 78A48)",
  MRnumber =     "2763504 (2012j:35015)",
  MRreviewer =   "A. K. Nandakumaran",
  bibdate =      "Fri Mar 4 09:51:08 MST 2011",
  bibsource =    "http://epubs.siam.org/toc/smjmap/70/8;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2010.bib",
  URL =          "http://epubs.siam.org/doi/abs/10.1137/100798090",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
  onlinedate =   "December 14, 2010",
  xxURL =        "http://epubs.siam.org/siap/resource/1/smjmap/v70/i8/p3272_s1",
}

@Article{GuevaraVasquez:2010:ECA,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Exterior cloaking with active sources in two
                 dimensional acoustics",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2010",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/1009.2038",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@Article{Milton:2010:EC,
  author =       "Graeme W. Milton and Pierre Seppecher",
  title =        "Electromagnetic Circuits",
  journal =      j-NETW-HETEROG-MEDIA,
  volume =       "5",
  number =       "2",
  pages =        "335--360",
  month =        jun,
  year =         "2010",
  CODEN =        "????",
  DOI =          "https://doi.org/10.3934/nhm.2010.5.335",
  ISSN =         "1556-1801 (print), 1556-181X (electronic)",
  ISSN-L =       "1556-1801",
  MRclass =      "35Q60, 78A48, 94C05",
  MRnumber =     "2661411 (2011i:94129)",
  MRreviewer =   "Alain Brillard",
  bibdate =      "Tue Sep 15 2009",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://aimsciences.org/journals/redirecting.jsp?paperID=5217",
  acknowledgement = ack-gwm,
  fjournal =     "Networks and Heterogeneous Media (NHM)",
  journal-URL =  "http://aimsciences.org/journals/home.jsp?journalID=9",
}

@Article{Milton:2010:HEC,
  author =       "Graeme W. Milton and Pierre Seppecher",
  title =        "Hybrid electromagnetic circuits",
  journal =      j-PHYSICA-B,
  volume =       "405",
  number =       "14",
  pages =        "2935--2937",
  day =          "15",
  month =        jul,
  year =         "2010",
  CODEN =        "PHYBE3",
  DOI =          "https://doi.org/10.1016/j.physb.2010.01.007",
  ISSN =         "0921-4526 (print), 1873-2135 (electronic)",
  ISSN-L =       "0921-4526",
  bibdate =      "Tue Sep 15 2009",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0921452610000098",
  acknowledgement = ack-gwm,
  fjournal =     "Physica. B, Condensed matter",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09214526",
}

@Article{Milton:2010:MVP,
  author =       "Graeme W. Milton and John R. Willis",
  title =        "Minimum variational principles for time-harmonic waves
                 in a dissipative medium and associated variational
                 principles of {Hashin--Shtrikman} type",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "466",
  number =       "2122",
  pages =        "3013--3032",
  year =         "2010",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2010.0006",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "74Q10",
  MRnumber =     "2684717 (2011k:74098)",
  bibdate =      "Tue Nov 1 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/early/2010/04/15/rspa.2010.0006",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Milton:2010:RMP,
  author =       "Graeme W. Milton",
  title =        "Realizability of metamaterials with prescribed
                 electric permittivity and magnetic permeability
                 tensors",
  journal =      j-NEW-J-PHYS,
  volume =       "12",
  number =       "3",
  pages =        "033035",
  year =         "2010",
  CODEN =        "NJOPFM",
  DOI =          "https://doi.org/10.1088/1367-2630/12/3/033035/",
  ISSN =         "1367-2630",
  ISSN-L =       "1367-2630",
  bibdate =      "Wed Dec 22 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://stacks.iop.org/1367-2630/12/i=3/a=033035",
  acknowledgement = ack-gwm,
  fjournal =     "New Journal of Physics",
  journal-URL =  "http://iopscience.iop.org/1367-2630",
  xxURL =        "http://iopscience.iop.org/article/10.1088/1367-2630/12/3/033035/",
}

@Article{Benveniste:2011:EMT,
  author =       "Y. Benveniste and Graeme W. Milton",
  title =        "An effective medium theory for multi-phase
                 matrix-based dielectric composites with randomly
                 oriented ellipsoidal inclusions",
  journal =      j-INT-J-ENG-SCI,
  volume =       "49",
  number =       "1",
  pages =        "2--16",
  month =        jan,
  year =         "2011",
  CODEN =        "IJESAN",
  DOI =          "https://doi.org/10.1016/j.ijengsci.2010.06.019",
  ISSN =         "0020-7225 (print), 1879-2197 (electronic)",
  ISSN-L =       "0020-7225",
  bibdate =      "Sat Nov 28 18:44:37 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0020722510001266",
  acknowledgement = ack-nhfb,
  fjournal =     "International journal of engineering science",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00207225",
}

@Article{Briane:2011:BSF,
  author =       "Marc Briane and Graeme W. Milton",
  title =        "Bounds on strong field magneto-transport in
                 three-dimensional composites",
  journal =      j-J-MATH-PHYS,
  volume =       "52",
  number =       "10",
  pages =        "103705, 18",
  month =        oct,
  year =         "2011",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.3644377",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "82D40 (35B27)",
  MRnumber =     "2894615 (2012m:82059)",
  MRreviewer =   "Alain Brillard",
  bibdate =      "Thu Oct 27 16:57:30 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v52/i10/p103705_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  onlinedate =   "11 October 2011",
  pagecount =    "18",
}

@Article{GuevaraVasquez:2011:CCS,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Complete characterization and synthesis of the
                 response function of elastodynamic networks",
  journal =      j-J-ELAST,
  volume =       "102",
  number =       "1",
  pages =        "31--54",
  year =         "2011",
  CODEN =        "JELSAY",
  DOI =          "https://doi.org/10.1007/s10659-010-9260-y",
  ISSN =         "0374-3535 (print), 1573-2681 (electronic)",
  ISSN-L =       "0374-3535",
  MRclass =      "74K10 (35Q74 74B05 74H45)",
  MRnumber =     "2746911 (2011k:74064)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s10659-010-9260-y",
  fjournal =     "Journal of Elasticity. The Physical and Mathematical
                 Science of Solids",
  journal-URL =  "http://link.springer.com/journal/10659",
}

@Article{GuevaraVasquez:2011:ECA,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Exterior cloaking with active sources in two
                 dimensional acoustics",
  journal =      j-WAVE-MOTION,
  volume =       "48",
  number =       "6",
  pages =        "515--524",
  year =         "2011",
  CODEN =        "WAMOD9",
  DOI =          "https://doi.org/10.1016/j.wavemoti.2011.03.005",
  ISSN =         "0165-2125 (print), 1878-433x (electronic)",
  ISSN-L =       "0165-2125",
  MRclass =      "76Q05",
  MRnumber =     "2811880 (2012g:76141)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0165212511000382",
  fjournal =     "Wave Motion. An International Journal Reporting
                 Research on Wave Phenomena",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01652125",
}

@Article{GuevaraVasquez:2011:TEA,
  author =       "F. {Guevara Vasquez} and Graeme W. Milton",
  title =        "Transformation elastodynamics and active exterior
                 acoustic cloaking",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2011",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://adsabs.harvard.edu/abs/2011arXiv1105.1221G",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@Article{Helsing:2011:SSR,
  author =       "Johan Helsing and Ross C. McPhedran and Graeme W.
                 Milton",
  title =        "Spectral super-resolution in metamaterial composites",
  journal =      j-NEW-J-PHYS,
  volume =       "13",
  number =       "11",
  pages =        "115005",
  year =         "2011",
  CODEN =        "NJOPFM",
  DOI =          "https://doi.org/10.1088/1367-2630/13/11/115005",
  ISSN =         "1367-2630",
  ISSN-L =       "1367-2630",
  bibdate =      "Wed Oct 21 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://iopscience.iop.org/1367-2630/13/11/115005",
  acknowledgement = ack-gwm,
  fjournal =     "New Journal of Physics",
  journal-URL =  "http://iopscience.iop.org/1367-2630",
  xxURL =        "http://stacks.iop.org/1367-2630/13/i=11/a=115005",
  xxURL =        "http://iopscience.iop.org/article/10.1088/1367-2630/13/11/115005/",
}

@Article{Kang:2011:BVF,
  author =       "Hyeonbae Kang and Graeme W. Milton and Jenn-Nan Wang",
  title =        "Bounds on the volume fraction of the two-phase shallow
                 shell using one measurement",
  journal =      j-J-ELAST,
  volume =       "114",
  number =       "1",
  pages =        "41--53",
  month =        jan,
  year =         "2014",
  CODEN =        "JELSAY",
  DOI =          "https://doi.org/10.1007/s10659-012-9425-y",
  ISSN =         "0374-3535 (print), 1573-2681 (electronic)",
  ISSN-L =       "0374-3535",
  MRclass =      "74K25 (74E30 74G45 74G75 74K20)",
  MRnumber =     "3144824",
  MRreviewer =   "Victor A. Eremeyev",
  bibdate =      "Sat Apr 11 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s10659-012-9425-y",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of Elasticity",
  journal-URL =  "http://link.springer.com/journal/10659",
  xxyear =       "2011",
}

@Article{Kang:2011:SBV,
  author =       "Hyeonbae Kang and Eunjoo Kim and Graeme W. Milton",
  title =        "Sharp bounds on the volume fractions of two materials
                 in a two-dimensional body from electrical boundary
                 measurements: the translation method",
  journal =      j-CALC-VAR-PARTIAL-DIFFER-EQU,
  volume =       "45",
  number =       "3--4",
  pages =        "367--401",
  month =        nov,
  year =         "2012",
  DOI =          "https://doi.org/10.1007/s00526-011-0462-3",
  ISSN =         "0944-2669 (print), 1432-0835 (electronic)",
  ISSN-L =       "0944-2669",
  MRclass =      "35R30",
  MRnumber =     "2984137",
  bibdate =      "Thu Apr 28 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s00526-011-0462-3",
  acknowledgement = ack-gwm,
  fjournal =     "Calculus of variations and partial differential
                 equations",
  journal-URL =  "http://www.springer.com/mathematics/analysis/journal/526",
  xxyear =       "2011",
}

@Article{Milton:2011:BVF,
  author =       "Graeme W. Milton and Loc H. Nguyen",
  title =        "Bounds on the volume fraction of $2$-phase,
                 $2$-dimensional elastic bodies and on (stress, strain)
                 pairs in composites",
  journal =      j-C-R-MEC,
  volume =       "340",
  number =       "4--5",
  pages =        "193--204",
  year =         "2012",
  CODEN =        "CRMOC9",
  DOI =          "https://doi.org/10.1016/j.crme.2012.02.002",
  ISSN =         "1631-0721 (print), 1873-7234 (electronic)",
  ISSN-L =       "1631-0721",
  bibdate =      "Wed Aug 17 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S1631072112000393",
  acknowledgement = ack-gwm,
  fjournal =     "Comptes Rendus M{'e}canique",
  journal-URL =  "http://www.sciencedirect.com/science/journal/16310721",
  remark =       "Recent Advances in Micromechanics of Materials, Edited
                 by M. Bornert, R. Brenner, O. Castelnau, P. Ponte
                 Casta{\~n}eda and P. Suquet.",
}

@Article{Milton:2011:UBE,
  author =       "Graeme W. Milton",
  title =        "Universal bounds on the electrical and elastic
                 response of two-phase bodies and their application to
                 bounding the volume fraction from boundary
                 measurements",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "60",
  number =       "1",
  pages =        "139--155",
  year =         "2012",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2011.09.007",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74F15 (78A30 78A45)",
  MRnumber =     "2907437 (2012j:74058)",
  bibdate =      "Wed Aug 17 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509611001748",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Vasquez:2011:CCS,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Complete characterization and synthesis of the
                 response function of elastodynamic networks",
  journal =      j-J-ELAST,
  volume =       "102",
  number =       "1",
  pages =        "31--54",
  month =        jan,
  year =         "2011",
  CODEN =        "JELSAY",
  DOI =          "https://doi.org/10.1007/s10659-010-9260-y",
  ISSN =         "0374-3535 (print), 1573-2681 (electronic)",
  ISSN-L =       "0374-3535",
  bibdate =      "Wed Dec 22 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s10659-010-9260-y",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of Elasticity",
  journal-URL =  "http://link.springer.com/journal/10659",
}

@Article{Vasquez:2011:ECA,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Exterior cloaking with active sources in two
                 dimensional acoustics",
  journal =      j-WAVE-MOTION,
  volume =       "48",
  number =       "6",
  pages =        "515--524",
  year =         "2011",
  CODEN =        "WAMOD9",
  DOI =          "https://doi.org/10.1016/j.wavemoti.2011.03.005",
  ISSN =         "0165-2125 (print), 1878-433X (electronic)",
  ISSN-L =       "0165-2125",
  bibdate =      "Fri May 29 2009",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0165212511000382",
  acknowledgement = ack-gwm,
  fjournal =     "Wave Motion",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01652125",
}

@Article{Buckmann:2012:RTD,
  author =       "Tiemo B{\"u}ckmann and Muamer Kadic and Graeme W.
                 Milton and Michael Thiel and Martin Wegener",
  title =        "Realizability of three-dimensional dilational
                 materials",
  journal =      "????",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  year =         "2012",
  bibdate =      "Fri May 25 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "In preparation.",
  acknowledgement = ack-gwm,
}

@Article{GuevaraVasquez:2012:MAT,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei",
  title =        "Mathematical analysis of the two dimensional active
                 exterior cloaking in the quasistatic regime",
  journal =      j-ANAL-MATH-PHYS,
  volume =       "2",
  number =       "3",
  pages =        "231--246",
  year =         "2012",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1007/s13324-012-0031-8",
  ISSN =         "1664-235X (print), 1664-2368 (electronic)",
  ISSN-L =       "1664-2368",
  MRclass =      "35J05 (30E10 31A05 35J25)",
  MRnumber =     "2958358",
  bibdate =      "Sat Apr 27 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://link.springer.com/article/10.1007/s13324-012-0031-8",
  acknowledgement = ack-gwm,
  ajournal =     "Anal. Math. Phys.",
  fjournal =     "Analysis and Mathematical Physics",
  journal-URL =  "http://link.springer.com/journal/13324",
}

@Article{Kadic:2012:RTD,
  author =       "Tiemo B{\"u}ckmann and Muamer Kadic and Graeme Milton
                 and Michael Thiel and Martin Wegener",
  title =        "Realizability of three-dimensional dilational
                 materials",
  journal =      "????",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  year =         "2012",
  bibdate =      "Fri May 25 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "In preparation.",
  acknowledgement = ack-gwm,
  remark =       "Not found in Web search on 26 November 2015.",
}

@Article{Kang:2012:SBV,
  author =       "Hyeonbae Kang and Eunjoo Kim and Graeme W. Milton",
  title =        "Sharp bounds on the volume fractions of two materials
                 in a two-dimensional body from electrical boundary
                 measurements: the translation method",
  journal =      j-CALC-VAR-PARTIAL-DIFFER-EQU,
  volume =       "45",
  number =       "3--4",
  pages =        "367--401",
  year =         "2012",
  DOI =          "https://doi.org/10.1007/s00526-011-0462-3",
  ISSN =         "0944-2669 (print), 1432-0835 (electronic)",
  ISSN-L =       "0944-2669",
  MRclass =      "35R30",
  MRnumber =     "2984137",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  fjournal =     "Calculus of Variations and Partial Differential
                 Equations",
  journal-URL =  "http://link.springer.com/journal/526",
}

@Article{Milton:2012:BVF,
  author =       "Graeme W. Milton and Loc Hoang Nguyen",
  title =        "Bounds on the volume fraction of $2$-phase,
                 $2$-dimensional elastic bodies and on (stress, strain)
                 pairs in composites",
  journal =      j-C-R-MEC,
  volume =       "340",
  number =       "4",
  pages =        "193--204",
  year =         "2012",
  CODEN =        "CRMOC9",
  DOI =          "https://doi.org/10.1016/j.crme.2012.02.002",
  ISSN =         "1631-0721 (print), 1873-7234 (electronic)",
  ISSN-L =       "1631-0721",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S1631072112000393",
  acknowledgement = ack-nhfb,
  fjournal =     "Comptes Rendus M{'e}canique",
  journal-URL =  "http://www.sciencedirect.com/science/journal/16310721",
}

@Article{Milton:2012:UBE,
  author =       "Graeme W. Milton",
  title =        "Universal bounds on the electrical and elastic
                 response of two-phase bodies and their application to
                 bounding the volume fraction from boundary
                 measurements",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "60",
  number =       "1",
  pages =        "139--155",
  year =         "2012",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2011.09.007",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74F15 (78A30 78A45)",
  MRnumber =     "2907437 (2012j:74058)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Alali:2013:ECT,
  author =       "Bacim Alali and Graeme W. Milton",
  title =        "Effective conductivities of thin-interphase
                 composites",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "61",
  number =       "12",
  pages =        "2680--2691",
  year =         "2013",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2013.08.022",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74A50 (74F15)",
  MRnumber =     "3111584",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509613001750",
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Ammari:2013:ALR,
  author =       "Habib Ammari and Giulio Ciraolo and Hyeonbae Kang and
                 Hyundae Lee and Graeme W. Milton",
  title =        "Anomalous localized resonance using a folded geometry
                 in three dimensions",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "469",
  number =       "2154",
  pages =        "20130048",
  day =          "8",
  month =        jun,
  year =         "2013",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2013.0048",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "Also available as arXiv:1301.5712 [math-ph].",
  URL =          "http://rspa.royalsocietypublishing.org/content/469/2154/20130048",
  abstract =     "If a body of dielectric material is coated by a
                 plasmonic structure of negative dielectric material
                 with non-zero loss parameter, then cloaking by
                 anomalous localized resonance (CALR) may occur as the
                 loss parameter tends to zero. If the coated structure
                 is circular (two dimensions) and the dielectric
                 constant of the shell is a negative constant (with loss
                 parameter), then CALR occurs, and if the coated
                 structure is spherical (three dimensions), then CALR
                 does not occur. The aim of this paper is to show that
                 CALR takes place if the spherical coated structure has
                 a specially designed anisotropic dielectric tensor. The
                 anisotropic dielectric tensor is designed by unfolding
                 a folded geometry.",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of the Royal Society A: Mathematical,
                 Physical, and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Ammari:2013:STN,
  author =       "Habib Ammari and Giulio Ciraolo and Hyeonbae Kang and
                 Hyundae Lee and Graeme W. Milton",
  title =        "Spectral theory of a {Neumann--Poincar{\'e}}-type
                 operator and analysis of cloaking due to anomalous
                 localized resonance",
  journal =      j-ARCH-RAT-MECH-ANAL,
  volume =       "208",
  number =       "2",
  pages =        "667--692",
  month =        may,
  year =         "2013",
  CODEN =        "AVRMAW",
  DOI =          "https://doi.org/10.1007/s00205-012-0605-5",
  ISSN =         "0003-9527 (print), 1432-0673 (electronic)",
  ISSN-L =       "0003-9527",
  MRclass =      "78A46 (35A08 35J25 78M22)",
  MRnumber =     "3035988",
  MRreviewer =   "Yoichi Miyazaki",
  bibdate =      "Fri Jan 25 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "See also arXiv:1109.0479 [math.AP].",
  URL =          "http://link.springer.com/article/10.1007/s00205-012-0605-5",
  acknowledgement = ack-gwm,
  fjournal =     "Archive for Rational Mechanics and Analysis",
  journal-URL =  "http://link.springer.com/journal/205",
}

@Article{Ammari:2013:STNII,
  author =       "Habib Ammari and Giulio Ciraolo and Hyeonbae Kang and
                 Hyundae Lee and Graeme W. Milton",
  title =        "Spectral theory of a {Neumann--Poincar{\'e}}-type
                 operator and analysis of cloaking due to anomalous
                 localized resonance {II}",
  journal =      "arxiv.org",
  volume =       "",
  number =       "",
  pages =        "",
  year =         "2013",
  CODEN =        "????",
  bibdate =      "Fri Jan 25 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "Submitted. Available as arXiv:1212.5066 [math.AP].",
  acknowledgement = ack-gwm,
  journal-URL =  "http://arxiv.org",
}

@Article{Kang:2013:BVF,
  author =       "Hyeonbae Kang and Graeme W. Milton",
  title =        "Bounds on the Volume Fractions of Two Materials in a
                 Three-Dimensional Body from Boundary Measurements by
                 the Translation Method",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "73",
  number =       "1",
  pages =        "475--492",
  month =        "????",
  year =         "2013",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/120879713",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "65N21 (35J25 35R30 45Q05)",
  MRnumber =     "3033159",
  MRreviewer =   "Mansur I. Ismailov",
  bibdate =      "Thu Mar 7 10:00:39 MST 2013",
  bibsource =    "http://epubs.siam.org/toc/smjmap/73/1;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2010.bib",
  URL =          "http://epubs.siam.org/doi/abs/10.1137/120879713",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
  onlinedate =   "January 2013",
}

@Article{Kang:2013:BVF3d,
  author =       "Hyeonbae Kang and Graeme W. Milton",
  title =        "Bounds on the Volume Fractions of Two Materials in a
                 Three-Dimensional Body from Boundary Measurements by
                 the Translation Method",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "73",
  number =       "1",
  pages =        "475--492",
  month =        "????",
  year =         "2013",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/120879713",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "65N21 (35J25 35R30 45Q05)",
  MRnumber =     "3033159",
  MRreviewer =   "Mansur I. Ismailov",
  bibdate =      "Thu Mar 7 10:00:39 MST 2013",
  bibsource =    "http://epubs.siam.org/toc/smjmap/73/1;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2010.bib",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
  onlinedate =   "January 2013",
}

@Article{Milton:2013:ANB,
  author =       "Graeme Walter Milton",
  title =        "Adaptable nonlinear bimode metamaterials using rigid
                 bars, pivots, and actuators",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "61",
  number =       "7",
  pages =        "1561--1568",
  year =         "2013",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2012.08.012",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74N15 (74B20)",
  MRnumber =     "3063487",
  bibdate =      "Mon Oct 13 2014",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  xxtitle =      "Complete characterization of the macroscopic
                 deformations of periodic unimode metamaterials of rigid
                 bars and pivots",
}

@Article{Milton:2013:BVI,
  author =       "Graeme W. Milton and A. E. Thaler",
  title =        "Bounds on the volume of an inclusion in a body from a
                 complex conductivity measurement",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2013",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/1306.6608",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org/",
}

@Article{Milton:2013:CCM,
  author =       "Graeme Walter Milton",
  title =        "Complete characterization of the macroscopic
                 deformations of periodic unimode metamaterials of rigid
                 bars and pivots",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "61",
  number =       "7",
  pages =        "1543--1560",
  year =         "2013",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2012.08.011",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74N15 (74B20 74K10)",
  MRnumber =     "3063486",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Milton:2013:SEH,
  author =       "Graeme W. Milton and Ross C. McPhedran and Ari
                 Sihvola",
  title =        "The searchlight effect in hyperbolic materials",
  journal =      j-OPT-EXPRESS,
  volume =       "21",
  number =       "12",
  pages =        "14926--14942",
  day =          "17",
  month =        jun,
  year =         "2013",
  CODEN =        "OPEXFF",
  DOI =          "https://doi.org/10.1364/OE.21.014926",
  ISSN =         "1094-4087",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.osapublishing.org/abstract.cfm?uri=oe-21-12-14926",
  acknowledgement = ack-nhfb,
  fjournal =     "Optics Express",
  journal-URL =  "http://opticsexpress.org/Issue.cfm",
}

@Article{Milton:2013:SIG,
  author =       "Graeme W. Milton",
  title =        "Sharp inequalities that generalize the divergence
                 theorem: an extension of the notion of
                 quasi-convexity",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "469",
  number =       "2157",
  pages =        "20130075, 18",
  year =         "2013",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2013.0075",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "49J45 (49N15)",
  MRnumber =     "3078206",
  MRreviewer =   "Jos{\'e} Carlos Pedro Cardoso Matias",
  bibdate =      "Tue Nov 4 2014",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "See addendum \cite{Milton:2015:ATS}.",
  URL =          "http://rspa.royalsocietypublishing.org/content/469/2157/20130075",
  acknowledgement = ack-gwm,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  pagecount =    "18",
}

@InProceedings{Vasquez:2013:SRP,
  author =       "Fernando {Guevara Vasquez} and Graeme W. Milton and
                 Daniel Onofrei and Pierre Seppecher",
  editor =       "Richard V. Craster and S{\'e}bastien Guenneau",
  booktitle =    "Acoustic Metamaterials: Negative Refraction, Imaging,
                 Lensing and Cloaking",
  title =        "Transformation elastodynamics and active exterior
                 acoustic cloaking",
  volume =       "166",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "289--318",
  year =         "2013",
  DOI =          "https://doi.org/10.1007/978-94-007-4813-2_12",
  ISBN =         "94-007-4813-2",
  ISBN-13 =      "978-94-007-4813-2",
  LCCN =         "????",
  bibdate =      "Sat Apr 27 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "Springer Series in Materials Science",
  URL =          "http://link.springer.com/chapter/10.1007/978-94-007-4813-2_12",
  acknowledgement = ack-gwm,
  book-DOI =     "https://doi.org/10.1007/978-94-007-4813-2",
  book-URL =     "http://www.springerlink.com/content/978-94-007-4813-2",
}

@InCollection{Ammari:2014:STN,
  author =       "Habib Ammari and Giulio Ciraolo and Hyeonbae Kang and
                 Hyundae Lee and Graeme W. Milton",
  booktitle =    "Inverse problems and applications",
  title =        "Spectral theory of a {Neumann--Poincar{\'e}}-type
                 operator and analysis of cloaking by anomalous
                 localized resonance {II}",
  volume =       "615",
  publisher =    "Amer. Math. Soc., Providence, RI",
  pages =        "1--14",
  year =         "2014",
  DOI =          "https://doi.org/10.1090/conm/615/12244",
  MRclass =      "35J25 (35A08 35B30 35Q60 35R30 78A48)",
  MRnumber =     "3221596",
  MRreviewer =   "Yoichi Miyazaki",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  series =       "Contemp. Math.",
}

@Article{Briane:2014:WEF,
  author =       "Marc Briane and Graeme W. Milton and Andrejs
                 Treibergs",
  title =        "Which electric fields are realizable in conducting
                 materials?",
  journal =      "ESAIM Math. Model. Numer. Anal.",
  volume =       "48",
  number =       "2",
  pages =        "307--323",
  year =         "2014",
  DOI =          "https://doi.org/10.1051/m2an/2013109",
  ISSN =         "0764-583x (print), 1290-3841 (electronic)",
  MRclass =      "65N21 (78A30)",
  MRnumber =     "3177847",
  MRreviewer =   "Mansur I. Ismailov",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://journals.cambridge.org/abstract_S0764583X1300109X",
  fjournal =     "ESAIM. Mathematical Modelling and Numerical Analysis",
  journal-URL =  "http://www.esaim-m2an.org/component/issues",
}

@Article{Buckmann:2014:TDD,
  author =       "Tiemo B{\"u}ckmann and Robert Schittny and Michael
                 Thiel and Muamer Kadic and Graeme W. Milton and Martin
                 Wegener",
  title =        "On three-dimensional dilational elastic
                 metamaterials",
  journal =      j-NEW-J-PHYS,
  volume =       "16",
  number =       "3",
  pages =        "033032",
  month =        mar,
  year =         "2014",
  CODEN =        "NJOPFM",
  DOI =          "https://doi.org/10.1088/1367-2630/16/3/033032",
  ISSN =         "1367-2630",
  ISSN-L =       "1367-2630",
  bibdate =      "Sun Oct 12 2014",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://stacks.iop.org/1367-2630/16/i=3/a=033032",
  abstract =     "Dilational materials are stable, three-dimensional
                 isotropic auxetics with an ultimate Poisson's ratio of
                 1. Inspired by previous theoretical work, we design a
                 feasible blueprint for an artificial material, a
                 metamaterial, which approaches the ideal of a
                 dilational material. The main novelty of our work is
                 that we also fabricate and characterize corresponding
                 metamaterial samples. To reveal all modes in the
                 design, we calculate the phonon band structures. On
                 this basis, using cubic symmetry we can unambiguously
                 retrieve all different non-zero elements of the
                 rank-four effective metamaterial elasticity tensor from
                 which all effective elastic metamaterial properties
                 follow. While the elastic properties and the phase
                 velocity remain anisotropic, the effective Poisson's
                 ratio indeed becomes isotropic and approaches 1 in the
                 limit of small internal connections. This finding is
                 also supported by independent, static
                 continuum-mechanics calculations. In static experiments
                 on macroscopic polymer structures fabricated by
                 three-dimensional printing, we measure Poisson's ratios
                 as low as 0.8 in good agreement with the theory.
                 Microscopic samples are also presented.",
  acknowledgement = ack-gwm,
  fjournal =     "New Journal of Physics",
  journal-URL =  "http://iopscience.iop.org/1367-2630",
  xxURL =        "http://iopscience.iop.org/article/10.1088/1367-2630/16/3/033032/",
}

@Article{Kang:2014:BSI,
  author =       "Hyeonbae Kang and Kyoungsun Kim and Hyundae Lee and
                 Xiaofei Li and Graeme W. Milton",
  title =        "Bounds on the Size of an Inclusion Using the
                 Translation Method for Two-Dimensional Complex
                 Conductivity",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "74",
  number =       "4",
  pages =        "939--958",
  month =        "????",
  year =         "2014",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/130940426",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "65N21 (45Q05)",
  MRnumber =     "3229662",
  MRreviewer =   "Barbara Zubik-Kowal",
  bibdate =      "Sat Sep 13 08:30:15 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/smjmap/74/4;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjapplmath2010.bib",
  URL =          "http://epubs.siam.org/doi/abs/10.1137/130940426",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
  onlinedate =   "January 2014",
}

@Article{Kang:2014:BVF,
  author =       "Hyeonbae Kang and Graeme W. Milton and Jenn-Nan Wang",
  title =        "Bounds on the volume fraction of the two-phase shallow
                 shell using one measurement",
  journal =      j-J-ELAST,
  volume =       "114",
  number =       "1",
  pages =        "41--53",
  year =         "2014",
  CODEN =        "JELSAY",
  DOI =          "https://doi.org/10.1007/s10659-012-9425-y",
  ISSN =         "0374-3535 (print), 1573-2681 (electronic)",
  ISSN-L =       "0374-3535",
  MRclass =      "74K25 (74E30 74G45 74G75 74K20)",
  MRnumber =     "3144824",
  MRreviewer =   "Victor A. Eremeyev",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  fjournal =     "Journal of Elasticity. The Physical and Mathematical
                 Science of Solids",
  journal-URL =  "http://link.springer.com/journal/10659",
}

@Article{Kochmann:2014:RBE,
  author =       "Dennis M. Kochmann and Graeme W. Milton",
  title =        "Rigorous bounds on the effective moduli of composites
                 and inhomogeneous bodies with negative-stiffness
                 phases",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "71",
  pages =        "46--63",
  year =         "2014",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2014.06.010",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74Q15 (74A40 74B05)",
  MRnumber =     "3255662",
  MRreviewer =   "Alain Brillard",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0022509614001367",
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
}

@Article{Milton:2014:IRC,
  author =       "Graeme W. Milton and M. Briane",
  title =        "Isotropic realizability of current fields in {$
                 \mathbb {R}^3 $}",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2014",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/1409.7658",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@Article{Milton:2014:SAL,
  author =       "Graeme W. Milton and T. Meklachi and D. Onofrei and A.
                 E. Thaler",
  title =        "Sensitivity of anomalous localized resonance phenomena
                 with respect to dissipation",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2014",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/1406.7044",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@Article{Thaler:2014:EDV,
  author =       "Andrew E. Thaler and Graeme W. Milton",
  title =        "Exact determination of the volume of an inclusion in a
                 body having constant shear modulus",
  journal =      j-INVERSE-PROBLEMS,
  volume =       "30",
  number =       "12",
  pages =        "125008, 16",
  month =        dec,
  year =         "2014",
  CODEN =        "INPEEY",
  DOI =          "https://doi.org/10.1088/0266-5611/30/12/125008",
  ISSN =         "0266-5611 (print), 1361-6420 (electronic)",
  ISSN-L =       "0266-5611",
  MRclass =      "74B05 (35Q74 74G05)",
  MRnumber =     "3291122",
  MRreviewer =   "Rui Li",
  bibdate =      "Sat Apr 11 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://iopscience.iop.org/0266-5611/30/12/125008",
  abstract =     "We derive an exact formula for the volume fraction of
                 an inclusion in a body when the inclusion and the body
                 are linearly elastic materials with the same shear
                 modulus. Our formula depends on an appropriate
                 measurement of the displacement and traction around the
                 boundary of the body. In particular, the boundary
                 conditions around the boundary of the body must be such
                 that they mimic the body being placed in an infinite
                 medium with an appropriate displacement applied at
                 infinity.",
  acknowledgement = ack-gwm,
  fjournal =     "Inverse Problems. An International Journal on the
                 Theory and Practice of Inverse Problems, Inverse
                 Methods and Computerized Inversion of Data",
  journal-URL =  "http://iopscience.iop.org/0266-5611/",
  pagecount =    "16",
  xxURL =        "http://stacks.iop.org/0266-5611/30/i=12/a=125008",
  xxURL =        "http://iopscience.iop.org/article/10.1088/0266-5611/30/12/125008/",
}

@Article{Briane:2015:IRC,
  author =       "M. Briane and Graeme W. Milton",
  title =        "Isotropic Realizability of Current Fields in {$
                 \mathbb {R}^3 $}",
  journal =      j-SIAM-J-APPL-DYN-SYST,
  volume =       "14",
  number =       "2",
  pages =        "1165--1188",
  month =        "????",
  year =         "2015",
  CODEN =        "SJADAY",
  DOI =          "https://doi.org/10.1137/140989121",
  ISSN =         "1536-0040",
  MRclass =      "35B27 (35F40 37C10 78A30)",
  MRnumber =     "3359673",
  bibdate =      "Sat Aug 8 07:10:05 MDT 2015",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIADS/14/2;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjappldynsyst.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Dynamical Systems",
  journal-URL =  "http://epubs.siam.org/siads",
  onlinedate =   "January 2015",
}

@Article{Harutyunyan:2015:EEE,
  author =       "Davit Harutyunyan and Graeme Walter Milton",
  title =        "Explicit examples of extremal quasiconvex quadratic
                 forms that are not polyconvex",
  journal =      j-CALC-VAR-PARTIAL-DIFFER-EQU,
  volume =       "54",
  number =       "2",
  pages =        "1575--1589",
  month =        oct,
  year =         "2015",
  DOI =          "https://doi.org/10.1007/s00526-015-0836-z",
  ISSN =         "0944-2669 (print), 1432-0835 (electronic)",
  ISSN-L =       "0944-2669",
  MRclass =      "26B25 (35A23 49J40 74B05)",
  MRnumber =     "3396424",
  bibdate =      "Tue Jan 27 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "See also arXiv:1403.3718 [math.AP].",
  acknowledgement = ack-gwm,
  fjournal =     "Calculus of variations and partial differential
                 equations",
  journal-URL =  "http://www.springer.com/mathematics/analysis/journal/526",
}

@Article{Harutyunyan:2015:RBE,
  author =       "Davit Harutyunyan and Graeme W. Milton",
  title =        "On the relation between extremal elasticity tensors
                 with orthotropic symmetry and extremal polynomials",
  journal =      "arxiv.org",
  year =         "2015",
  bibdate =      "Thu Nov 26 16:58:19 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/1411.4216",
  abstract =     "We prove that an elasticity tensor with orthotropic
                 symmetry is extremal if the determinant of its acoustic
                 tensor is an extremal polynomial that is not a perfect
                 square.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org/",
  pagecount =    "17",
  received =     "16 November 2014",
}

@Article{Kochmann:2015:RBE,
  author =       "Dennis M. Kochmann and Graeme W. Milton",
  title =        "Rigorous bounds on the effective moduli of composites
                 and inhomogeneous bodies with negative-stiffness
                 phases",
  journal =      j-J-MECH-PHYS-SOLIDS,
  volume =       "71",
  pages =        "46--63",
  month =        nov,
  year =         "2014",
  CODEN =        "JMPSA8",
  DOI =          "https://doi.org/10.1016/j.jmps.2014.06.010",
  ISSN =         "0022-5096 (print), 1873-4782 (electronic)",
  ISSN-L =       "0022-5096",
  MRclass =      "74Q15 (74A40 74B05)",
  MRnumber =     "3255662",
  MRreviewer =   "Alain Brillard",
  bibdate =      "Sat Jul 4 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Journal of the Mechanics and Physics of Solids",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225096",
  xxyear =       "2015",
}

@Article{Milton:2015:ASC,
  author =       "Graeme W. Milton",
  title =        "The algebra of subspace collections and their
                 association with rational functions of several
                 variables",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2015",
  bibdate =      "Sun Nov 29 15:57:31 MST 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://arxiv.org/abs/1504.08061",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://arxiv.org",
}

@Article{Milton:2015:ASI,
  author =       "Graeme W. Milton",
  title =        "Addendum to `{Sharp} inequalities that generalize the
                 divergence theorem: an extension of the notion of
                 quasi-convexity' [ {MR3078206}]",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "471",
  number =       "2176",
  pages =        "20140886",
  year =         "2015",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2014.0886",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "49J45 (49N15)",
  MRnumber =     "3325210",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/471/2176/20140886.abstract",
  fjournal =     "Proceedings A",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  pagecount =    "8",
}

@Article{Milton:2015:ATS,
  author =       "Graeme W. Milton",
  title =        "Addendum to {``Sharp inequalities that generalize the
                 divergence theorem: an extension of the notion of
                 quasi-convexity''}",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "471",
  number =       "2176",
  day =          "4",
  month =        mar,
  year =         "2015",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2014.0886",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "See \cite{Milton:2013:SIG}.",
  abstract =     "The paper ``Sharp inequalities that generalize the
                 divergence theorem: an extension of the notion of
                 quasi-convexity'' published in Proc. R. Soc. A 2013,
                 469, 20130075 (doi:10.1098/rspa.2013.0075) is
                 clarified. Notably, much more general boundary
                 conditions are given under which sharp lower bounds on
                 the integrals of certain quadratic functions of the
                 fields can be obtained. More precisely, if the
                 quadratic form is Q*-convex then any solution of the
                 Euler--Lagrange equations will necessarily minimize the
                 integral. As a consequence, strict Q*-convexity is
                 found to be an appropriate condition to ensure
                 uniqueness of the solutions of a wide class of linear
                 Euler--Lagrange equations in a given domain $ \Omega $
                 with appropriate boundary conditions.",
  fjournal =     "Proceedings of the Royal Society A: Mathematical,
                 Physical, and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  pagecount =    "8",
  remark =       "Bizarrely, this addendum has no assigned page
                 numbers!",
}

@Article{Milton:2015:NET,
  author =       "Graeme W. Milton",
  title =        "New examples of three-dimensional dilational
                 materials",
  journal =      j-PHYS-STATUS-SOLIDI-B-BASIC-RES,
  volume =       "252",
  number =       "7",
  pages =        "1426--1430",
  month =        jul,
  year =         "2015",
  CODEN =        "PSSBBD",
  DOI =          "https://doi.org/10.1002/pssb.201552297",
  ISSN =         "0370-1972 (print), 1521-3951 (electronic)",
  ISSN-L =       "0370-1972",
  bibdate =      "Sun Nov 15 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://onlinelibrary.wiley.com/doi/10.1002/pssb.201552297/abstract",
  acknowledgement = ack-gwm,
  fjournal =     "Physica Status Solidi. B, Basic Research",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3951/",
}

@Article{Thaler:2015:BVI,
  author =       "Andrew E. Thaler and Graeme W. Milton",
  title =        "Bounds on the volume of an inclusion in a body from a
                 complex conductivity measurement",
  journal =      j-COMMUN-MATH-SCI,
  volume =       "13",
  number =       "4",
  pages =        "863--892",
  year =         "2015",
  CODEN =        "????",
  DOI =          "https://doi.org/10.4310/CMS.2015.v13.n4.a2",
  ISSN =         "1539-6746 (print), 1945-0796 (electronic)",
  ISSN-L =       "1539-6746",
  MRclass =      "35Q60 (31A25 31B20 35J25)",
  MRnumber =     "3325081",
  MRreviewer =   "Shintaro Kondo",
  bibdate =      "Sat Apr 11 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  fjournal =     "Communications in Mathematical Sciences",
  journal-URL =  "http://ProjectEuclid.org/cms",
  journal-URL =  "http://www.intlpress.com/site/pub/pages/journals/items/cms/content/_home/index.html",
}

@InCollection{Cassier:2016:ADN,
  author =       "Aaron Welters Maxence Cassier and Graeme W. Milton",
  title =        "Analyticity of the {Dirichlet-to-Neumann} map for the
                 time-harmonic {Maxwell}'s equations",
  crossref =     "Milton:2016:ETC",
  chapter =      "4",
  pages =        "95--122",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Cassier:2016:RAF,
  author =       "Aaron Welters Maxence Cassier and Graeme W. Milton",
  title =        "A rigorous approach to the field recursion method",
  crossref =     "Milton:2016:ETC",
  chapter =      "10",
  pages =        "287--308",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@Article{Harutyunyan:2016:IDC,
  author =       "David Harutyunyan and Graeme W. Milton and Trevor J.
                 Dick and Justin Boyer",
  title =        "On ideal dynamic climbing ropes",
  journal =      "Proceedings of the Institution of Mechanical
                 Engineers, Part P: Journal of Sports Engineering and
                 Technology",
  volume =       "230",
  number =       "2",
  pages =        "??--??",
  month =        jun,
  year =         "2016",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1177/1754337116653539",
  ISSN =         "1754-3371 (print), 1754-338X (electronic)",
  ISSN-L =       "1754-3371",
  bibdate =      "Wed Jul 6 09:28:16 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://pip.sagepub.com/content/early/2016/06/16/1754337116653539.abstract",
  acknowledgement = ack-nhfb,
  remark =       "Check issue number and pages; not yet available on
                 journal Web site.",
}

@InCollection{Mattei:2016:BTR,
  author =       "Ornella Mattei and Graeme W. Milton",
  title =        "Bounds for the transient response of viscoelastic
                 composites",
  crossref =     "Milton:2016:ETC",
  chapter =      "6",
  pages =        "149--178",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milgrom:2016:RSC,
  author =       "Mordehai Milgrom and Graeme W. Milton",
  title =        "The response of systems with coupled fields",
  crossref =     "Milton:2016:ETC",
  chapter =      "9",
  pages =        "255--286",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:AFM,
  author =       "Graeme W. Milton",
  title =        "Accelerating {FFT} methods for conducting composites",
  crossref =     "Milton:2016:ETC",
  chapter =      "8",
  pages =        "235--254",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@Article{Milton:2016:AM,
  author =       "Graeme W. Milton",
  title =        "Analytic materials",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "472",
  number =       "2195",
  pages =        "20160613:1--20160613:??",
  day =          "16",
  month =        nov,
  year =         "2016",
  DOI =          "https://doi.org/10.1098/rspa.2016.0613",
  bibdate =      "Wed Nov 23 05:46:11 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/472/2195/20160613",
  abstract =     "The theory of inhomogeneous analytic materials is
                 developed. These are materials where the coefficients
                 entering the equations involve analytic functions.
                 Three types of analytic materials are identified. The
                 first two types involve an integer $p$. If $p$ takes
                 its maximum value, then we have a complete analytic
                 material. Otherwise, it is incomplete analytic material
                 of rank $p$. For two-dimensional materials, further
                 progress can be made in the identification of analytic
                 materials by using the well-known fact that a $
                 90^\circ $ rotation applied to a divergence-free field
                 in a simply connected domain yields a curl-free field,
                 and this can then be expressed as the gradient of a
                 potential. Other exact results for the fields in
                 inhomogeneous media are reviewed. Also reviewed is the
                 subject of metamaterials, as these materials provide a
                 way of realizing desirable coefficients in the
                 equations.",
  accepted =     "20 October 2016",
  acknowledgement = ack-nhfb,
  received =     "1 August 2016",
}

@InCollection{Milton:2016:CAA,
  author =       "Graeme W. Milton",
  title =        "Composites and the associated abstract theory",
  crossref =     "Milton:2016:ETC",
  chapter =      "2",
  pages =        "47--76",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:CFL,
  author =       "Graeme W. Milton",
  title =        "Canonical forms for linear physics equations and key
                 identities",
  crossref =     "Milton:2016:ETC",
  chapter =      "1",
  pages =        "1--46",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:DMS,
  author =       "Graeme W. Milton",
  title =        "The desymmetrization method for solving the
                 {Schr{\"o}dinger} equation",
  crossref =     "Milton:2016:ETC",
  chapter =      "12",
  pages =        "319--336",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@Article{Milton:2016:FPN,
  author =       "Graeme W. Milton and Ornella Mattei",
  title =        "Field Patterns: A New Mathematical Object",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--31",
  day =          "18",
  month =        nov,
  year =         "2016",
  bibdate =      "Wed Nov 23 05:41:05 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "https://arxiv.org/abs/1611.06257v1",
  abstract =     "Field patterns occur in space-time microstructures
                 such that a disturbance propagating along a
                 characteristic line, does not evolve into a cascade of
                 disturbances, but rather concentrates on a pattern of
                 characteristic lines. This pattern is the field
                 pattern. In one spatial direction plus time, the field
                 patterns occur when the slope of the characteristics
                 is, in a sense, commensurate with the space-time
                 microstructure. Field patterns with different spatial
                 shifts do not generally interact, but rather evolve as
                 if they live in separate dimensions, as many dimensions
                 as the number of field patterns. Alternatively one can
                 view a collection as a multicomponent potential, with
                 as many components as the number of field patterns.
                 Presumably if one added a tiny nonlinear term to the
                 wave equation one would then see interactions between
                 these field patterns in the multidimensional space that
                 one can consider them to live, or between the different
                 field components of the multicomponent potential if one
                 views them that way. As a result of PT-symmetry many of
                 the complex eigenvalues of an appropriately defined
                 transfer matrix have unit norm and hence the
                 corresponding eigenvectors correspond to propagating
                 modes. There are also modes that blow up exponentially
                 with time.",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:GFS,
  author =       "Graeme W. Milton",
  title =        "{Green}'s functions for self-adjoint and
                 non-self-adjoint operators",
  crossref =     "Milton:2016:ETC",
  chapter =      "14",
  pages =        "355--368",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:IP,
  author =       "Graeme W. Milton",
  title =        "The inverse problem",
  crossref =     "Milton:2016:ETC",
  chapter =      "5",
  pages =        "123--148",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:NPB,
  author =       "Graeme W. Milton",
  title =        "A new perspective on boundary value problems",
  crossref =     "Milton:2016:ETC",
  chapter =      "3",
  pages =        "77--94",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:PFT,
  author =       "Graeme W. Milton",
  title =        "{Projection Functional Theory} for finding excited
                 states",
  crossref =     "Milton:2016:ETC",
  chapter =      "11",
  pages =        "309--318",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:SAS,
  author =       "Graeme W. Milton",
  title =        "Superfunctions and the algebra of subspace
                 collections",
  crossref =     "Milton:2016:ETC",
  chapter =      "7",
  pages =        "179--234",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Milton:2016:VPC,
  author =       "Graeme W. Milton",
  title =        "Variational principles and {$ Q_C^* $}-convex
                 functions for {Schr{\"o}dinger}'s equation",
  crossref =     "Milton:2016:ETC",
  chapter =      "13",
  pages =        "337--354",
  year =         "2016",
  bibdate =      "Thu Aug 17 18:16:17 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-nhfb,
}

%%% ====================================================================
%%% Publications about Graeme W. Milton and his works:
@Article{Berryman:2009:FDT,
  author =       "James G. Berryman",
  title =        "Frequency dependent thermal expansion in binary
                 viscoelastic composites",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "463--480",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.013",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000106",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Berryman:2009:ISI,
  author =       "James G. Berryman and Elena Cherkaev and Igor
                 Sevostianov",
  title =        "Introduction to the Special Issue in Honor of {Graeme
                 W. Milton, 2007 Winner of the William Prager Medal of
                 the Society of Engineering Science}",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "355--355",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2008.11.005",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S016766360800166X",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Cherkaev:2009:BEP,
  author =       "Andrej V. Cherkaev",
  title =        "Bounds for effective properties of multimaterial
                 two-dimensional conducting composites",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "411--433",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.027",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000052",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Francfort:2009:POB,
  author =       "Gilles A. Francfort and Fran{\c{c}}ois Murat",
  title =        "The proofs of the optimal bounds for mixtures of two
                 anisotropic conducting materials in two dimensions",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "448--455",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.020",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000039",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Grabovsky:2009:AGT,
  author =       "Yury Grabovsky",
  title =        "An application of the general theory of exact
                 relations to fiber-reinforced conducting composites
                 with {Hall} effect",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "456--462",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.012",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000064",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Jasiuk:2009:SIE,
  author =       "Iwona Jasiuk",
  title =        "Stress invariance and exact relations in the mechanics
                 of composite materials: Extensions of the {CLM} result:
                 a review",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "394--404",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.001",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S016766360900009X",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Kang:2009:CPS,
  author =       "Hyeonbae Kang",
  title =        "Conjectures of {P{\'o}lya--Szeg{\H{o}}} and {Eshelby},
                 and the {Newtonian} potential problem: A review",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "405--410",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.019",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000131",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Lopez-Pamies:2009:MEH,
  author =       "O. Lopez-Pamies and P. {Ponte Casta{\~n}eda}",
  title =        "Microstructure evolution in hyperelastic laminates and
                 implications for overall behavior and macroscopic
                 stability",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "364--374",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.006",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000040",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{McPhedran:2009:PCB,
  author =       "R. C. McPhedran and A. B. Movchan and N. V. Movchan",
  title =        "Platonic crystals: Bloch bands, neutrality and
                 defects",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "356--363",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.005",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000027",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Sevostianov:2009:ECC,
  author =       "Igor Sevostianov and Mark Kachanov",
  title =        "Elasticity-conductivity connections for contacting
                 rough surfaces: An overview",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "375--384",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.002",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000076",
  acknowledgement = ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Smyshlyaev:2009:PLE,
  author =       "Valery P. Smyshlyaev",
  title =        "Propagation and localization of elastic waves in
                 highly anisotropic periodic composites via two-scale
                 homogenization",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "434--447",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.009",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Mon May 30 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000088",
  acknowledgement = ack-gwm,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Article{Willis:2009:EER,
  author =       "John R. Willis",
  title =        "Exact effective relations for dynamics of a laminated
                 body",
  journal =      j-MECH-MATER,
  volume =       "41",
  number =       "4",
  pages =        "385--393",
  month =        apr,
  year =         "2009",
  CODEN =        "MSMSD3",
  DOI =          "https://doi.org/10.1016/j.mechmat.2009.01.010",
  ISSN =         "0167-6636 (print), 1872-7743 (electronic)",
  ISSN-L =       "0167-6636",
  bibdate =      "Thu Nov 26 08:41:39 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.sciencedirect.com/science/journal/01676636/41/4",
  note =         "Special Issue in Honor of Graeme W. Milton, 2007
                 Winner of the William Prager Medal of the Society of
                 Engineering Science.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167663609000118",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  fjournal =     "Mechanics of Materials: an International Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676636",
}

@Misc{Anonymous:2016:GWM,
  author =       "Anonymous",
  title =        "{Graeme W. Milton}",
  howpublished = "Press release by the Scientific Committee of the
                 International Research Center MEMOCS",
  pages =        "2",
  day =          "25",
  month =        may,
  year =         "2016",
  bibdate =      "Wed Jul 06 09:52:04 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "Announcement of the award of the 2015 International
                 Tullio Levi-Civit{\`a} Prize.",
  URL =          "http://memocs.univaq.it/wp-content/uploads/2016/05/MiltonLaudatio.pdf",
  acknowledgement = ack-nhfb,
}

@Misc{Anonymous:2016:NMT,
  author =       "Anonymous",
  title =        "New math tools for new materials",
  howpublished = "Press releases.",
  day =          "21",
  month =        nov,
  year =         "2016",
  bibdate =      "Wed Nov 23 05:43:50 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  URL =          "https://www.eurekalert.org/pub_releases/2016-11/uou-nmt112116.php",
  abstract =     "University of Utah mathematician Graeme Milton
                 presents a new tool for understanding how energy waves
                 move through complex materials, opening up
                 possibilities to design materials that absorb or bend
                 energy as desired. His solution for so-called
                 ``analytic materials'' was published November 15 in
                 Proceedings of the Royal Society A.",
  acknowledgement = ack-nhfb,
}

@Misc{Anonymous:2016:TCR,
  author =       "Anonymous",
  title =        "Theoretical climbing rope could brake falls: Now
                 mathematicians need material to make it a reality",
  howpublished = "University of Utah Web site.",
  day =          "6",
  month =        jul,
  year =         "2016",
  bibdate =      "Wed Jul 06 09:49:05 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "Describes work published in
                 \cite{Harutyunyan:2016:IDC}",
  URL =          "unews.utah.edu/theoretical-climbing-rope-could-brake-falls/Boyee",
  acknowledgement = ack-nhfb,
  keywords =     "David Harutyunyan; Graeme W. Milton; Justin Boyer;
                 Trevor J. Dick",
}

@Article{Cassier:2017:BHF,
  author =       "Maxence Cassier and Graeme W. Milton",
  title =        "Bounds on {Herglotz} functions and fundamental limits
                 of broadband passive quasistatic cloaking",
  journal =      j-J-MATH-PHYS,
  volume =       "58",
  number =       "7",
  pages =        "071504",
  month =        jul,
  year =         "2017",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.4989990",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Mon Oct 2 11:56:19 MDT 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys2015.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Miller:2017:SMF,
  author =       "Johanna L. Miller",
  title =        "Semiconductor metamaterial fools the {Hall} effect",
  journal =      j-PHYS-TODAY,
  volume =       "70",
  number =       "2",
  pages =        "21--23",
  month =        feb,
  year =         "2017",
  CODEN =        "PHTOAD",
  DOI =          "https://doi.org/10.1063/pt.3.3453",
  ISSN =         "0031-9228 (print), 1945-0699 (electronic)",
  ISSN-L =       "0031-9228",
  bibdate =      "Mon Jul 31 17:15:13 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  note =         "The journal issue cover image is based on work by
                 Graeme Milton and colleagues.",
  URL =          "http://physicstoday.scitation.org/na101/home/literatum/publisher/aip/journals/content/pto/2017/pto.2017.70.issue-2/pto.2017.70.issue-2/20170202/pto.2017.70.issue-2.cover.jpg;
                 https://doi.org/10.1063/pt.3.3453",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Today",
  journal-URL =  "http://www.physicstoday.org/",
  remark =       "This article describes work by Graeme Milton and
                 colleagues on a 3D materials design that contradicts
                 standard textbook discussions of the Hall effect.
                 Such a material has now been manufactured in a
                 laboratory, and is pictured in the article.",
}

%%% ====================================================================
%%% Cross-referenced entries and conference proceedings must come last.
%%% They are sorted in publication order with ``bibsort --byyear''.
@Book{Milton:2002:TC,
  author =       "Graeme W. Milton",
  booktitle =    "The Theory of Composites",
  title =        "The Theory of Composites",
  volume =       "6",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xxviii + 719",
  year =         "2002",
  DOI =          "https://doi.org/10.1017/CBO9780511613357",
  ISBN =         "0-521-78125-6",
  ISBN-13 =      "978-0-521-78125-1",
  LCCN =         "TA418.9.C6 M58 2001",
  MRclass =      "74Qxx (74A40 74E30 74Pxx 78A48 82B99 82D20)",
  MRnumber =     "1899805 (2003d:74077)",
  MRreviewer =   "Gr{\'e}goire Allaire",
  bibdate =      "Sat May 04 06:33:55 2002",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/master.bib;
                 http://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
  note =         "Series editors: P. G. Ciarlet, A. Iserles, Robert V.
                 Kohn, and M. H. Wright.",
  price =        "US\$80",
  series =       "Cambridge Monographs on Applied and Computational
                 Mathematics",
  URL =          "http://www.math.utah.edu/books/tcbook",
  acknowledgement = ack-gwm # " and " # ack-nhfb,
  keywords =     "composite materials; differential equations, partial;
                 homogenization (differential equations)",
  remark =       "Technical editing by Nelson H. F. Beebe.",
  remark =       "NHFB was the chief technical editor for this book, and
                 wrote the author/editor indexing software, the {\TeX}
                 DVI-to-PostScript driver and the initial Web site for
                 the book, at
                 \path=http://www.math.utah.edu/books/tcbook/index.html=.",
  tableofcontents = "1. Introduction \\
                 2. Some equations of interest and numerical approaches
                 to solving them \\
                 3. Duality transformations in two-dimensional media \\
                 4. Translations and equivalent media \\
                 5. Some microstructure-independent exact relations \\
                 6. Exact relations for coupled equations \\
                 7. Assemblages of spheres, ellipsoids, and other
                 neutral inclusions \\
                 8. Tricks for generating other exactly solvable
                 microgeometries \\
                 9. Laminate materials \\
                 10. Approximations and asymptotic formulas \\
                 11. Wave propagation in the quasistatic limit \\
                 12. Reformulating the problem of finding effective
                 tensors \\
                 13. Variational principles and inequalities \\
                 14. Series expansions for the fields and effective
                 tensors \\
                 15. Correlation functions and how they enter series
                 expansions \\
                 16. Other perturbation solutions \\
                 17. General theory of exact relations and links between
                 effective tensors \\
                 18 Analytic properties \\
                 19. Y -tensors \\
                 20. Y -tensors and effective tensors in electrical
                 circuits \\
                 21. Bounds on the properties of composites \\
                 22. Classical variational principle bounds \\
                 23. Bounds from the Hashin-Shtrikman variational
                 inequalities \\
                 24. Bounds using the compensated compactness or
                 translation method \\
                 25. Choosing the translations and finding
                 microgeometries that attain the bounds \\
                 26. Bounds incorporating three-point correlation
                 functions \\
                 27. Bounds using the analytic method \\
                 28. Fractional linear transformations as a tool for
                 generating bounds \\
                 29. Field equation recursion method \\
                 30 Properties of the G-closure and extremal families of
                 composites \\
                 31 Bounding of effective moduli as a
                 quasiconvexification problem",
  texsource =    "preface",
  xxURL =        "http://assets.cambridge.org/97805217/81251/sample/9780521781251ws.pdf",
}

@Proceedings{Milton:2003:PSI,
  editor =       "Graeme W. Milton and K. M. Golden and D. Dobson and Z.
                 V. Vardeny",
  booktitle =    "Proceedings of the {Sixth International Conference on
                 Electrical Transport and Optical Properties of
                 Inhomogeneous Media: ETOPIM 6, held in Snowbird, UT,
                 USA, 15--19 July 2002}",
  title =        "Proceedings of the {Sixth International Conference on
                 Electrical Transport and Optical Properties of
                 Inhomogeneous Media: ETOPIM 6, held in Snowbird, UT,
                 USA, 15--19 July 2002}",
  volume =       "338(1--4)",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xiii + 374",
  year =         "2003",
  ISBN =         "",
  ISBN-13 =      "",
  ISSN =         "0921-4526 (print), 1873-2135 (electronic)",
  LCCN =         "",
  bibdate =      "Sat Jul 03 12:05:44 2004",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib;
                 http://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib",
  series =       "Physica B, Condensed Matter",
  URL =          "http://www.elseview.com/locate/physb;
                 http://www.math.utah.edu/etopim/",
  acknowledgement = ack-nhfb,
  remark =       "Technical editing by Nelson H. F. Beebe and Eleen
                 Collins. No ISBN assigned: this is a combined journal
                 issue.",
  xxnote =       "Book cover page has incorrect A. Z. Vardeny instead of
                 V. Z. Vardeny.",
}

@Book{Milton:2016:ETC,
  editor =       "Graeme W. Milton",
  booktitle =    "Extending the Theory of Composites to Other Areas of
                 Science",
  title =        "Extending the Theory of Composites to Other Areas of
                 Science",
  publisher =    "Milton--Patton Publishers",
  address =      "P.O. Box 581077, Salt Lake City, UT 85148, USA",
  pages =        "xx + 422",
  year =         "2016",
  ISBN =         "1-4835-6919-5 (print), 1-4835-6920-9 (e-book)",
  ISBN-13 =      "978-1-4835-6919-2 (print), 978-1-4835-6920-8
                 (e-book)",
  bibdate =      "Wed Jul 06 09:36:32 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/milton-graeme-w.bib",
  acknowledgement = ack-gwm,
  tableofcontents = "1: Canonical forms for linear physics equations and
                 key identities / Graeme W. Milton / 1 \\
                 2: Composites and the associated abstract theory /
                 Graeme W. Milton / 47 \\
                 3: A new perspective on boundary value problems /
                 Graeme W. Milton / 77 \\
                 4: Analyticity of the Dirichlet-to-Neumann map for the
                 time-harmonic Maxwell's equations / Maxence Cassier,
                 Aaron Welters and Graeme W. Milton / 95 \\
                 5: The inverse problem / Graeme W. Milton / 123 \\
                 6: Bounds for the transient response of viscoelastic
                 composites / Ornella Mattei and Graeme W. Milton / 149
                 \\
                 7: Superfunctions and the algebra of subspace
                 collections / Graeme W. Milton / 179 \\
                 8: Accelerating FFT methods for conducting composites /
                 Graeme W. Milton / 235 \\
                 9: The response of systems with coupled fields /
                 Mordehai Milgrom and Graeme W. Milton / 255 \\
                 10: A rigorous approach to the field recursion method /
                 Maxence Cassier, Aaron Welters and Graeme W. Milton /
                 287 \\
                 11: Projection Functional Theory for finding excited
                 states / Graeme W. Milton / 309 \\
                 12: The desymmetrization method for solving the
                 Schr{\"o}dinger equation / Graeme W. Milton / 319 \\
                 13: Variational principles and $Q_C^*$-convex functions
                 for Schr{\"o}dinger's equation / Graeme W. Milton / 337
                 \\
                 14: Green's functions for self-adjoint and
                 non-self-adjoint operators / Graeme W. Milton / 355 \\
                 Bibliography / / 369 \\
                 Author/editor index / / 401 \\
                 Index / / 413",
}