Edit Profile (opens in new tab) Milton, Graeme Walter Co-Author Distance Author ID: milton.graeme-walter Published as: Milton, Graeme W.; Milton, G. W.; Milton, Graeme Walter; Milton, Graeme more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 141 Publications since 1982, including 2 Books and 34 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 71 Co-Authors with 103 Joint Publications 1,493 Co-Co-Authors all top 5 Co-Authors 38 single-authored 14 Kang, Hyeonbae 11 Briane, Marc 8 Onofrei, Daniel 7 Harutyunyan, Davit 7 Mattei, Ornella 7 Seppecher, Pierre 6 Guevara Vasquez, Fernando 6 Lee, Hyundae 5 Movchan, Alexander B. 4 Ammari, Habib 4 Ciraolo, Giulio 3 Benveniste, Yakov 3 Cassier, Maxence 3 Grabovsky, Yury 3 Kohn, Robert Vita 3 McPhedran, Ross C. 3 Nesi, Vincenzo 3 Phan-Thien, Nhan 3 Putinar, Mihai 3 Serkov, Sergey K. 3 Thaler, Andrew E. 2 Berryman, James G. 2 Bouchitté, Guy 2 Camar-Eddine, Mohamed 2 Clark, Karen E. 2 Gibiansky, Leonid V. 2 Golden, Kenneth M. 2 Helsing, Johan 2 Kim, Eunjoo 2 Nicorovici, Nicolae-Alexandru P. 2 Wang, Jenn-Nan 2 Welters, Aaron T. 2 Willis, John Raymond 1 Alali, Bacim 1 Amendola, Ada 1 Avellaneda, Marco 1 Bardsley, Patrick 1 Boyer, Justin 1 Boyle, Jonathan W. 1 Briggs, Nathan 1 Capdeboscq, Yves 1 Cherkaev, Andrej V. 1 Craster, Richard V. 1 Dick, Trevor J. 1 Francfort, Gilles A. 1 Funchess, Gregory 1 Grimmett, Geoffrey R. 1 James, Richard D. 1 Jones, Ian S. 1 Kim, Kyoungsun 1 Koch, Zoe 1 Kochmann, Dennis M. 1 Li, Xiaofei 1 Lim, Mikyoung 1 Lukkassen, Dag 1 Lurie, Konstantin A. 1 Manceau, David 1 Meklachi, Taoufik 1 Moulinec, Hervé 1 Nguyen, Loc Hoang 1 Podolskiy, Viktor A. 1 Primrose, Michael S. 1 Sage, Daniel S. 1 Sen, Pabitra N. 1 Sihvola, Ari H. 1 Smereka, Peter 1 Sølna, Knut 1 Suquet, Pierre-Marie 1 Treibergs, Andrejs E. 1 Zhao, Michael 1 Zribi, Habib all top 5 Serials 14 Journal of the Mechanics and Physics of Solids 10 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 9 SIAM Journal on Applied Mathematics 7 Communications on Pure and Applied Mathematics 7 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 6 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Physics 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Communications in Mathematical Physics 2 Inverse Problems 2 Quarterly of Applied Mathematics 2 Journal of Elasticity 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Multiscale Modeling & Simulation 2 Mathematics and Mechanics of Complex Systems 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 1 International Journal for Numerical Methods in Engineering 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Expositiones Mathematicae 1 Methods and Applications of Analysis 1 Documenta Mathematica 1 New Journal of Physics 1 European Journal of Mechanics. A. Solids 1 Physical Review Letters 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Classics in Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Cambridge Monographs on Applied and Computational Mathematics 1 Networks and Heterogeneous Media 1 Analysis and Mathematical Physics 1 Research in the Mathematical Sciences 1 Proceedings A. Royal Society of London all top 5 Fields 74 Mechanics of deformable solids (74-XX) 43 Partial differential equations (35-XX) 25 Optics, electromagnetic theory (78-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functions of a complex variable (30-XX) 5 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,823 times in 1,124 Documents Cited by ▼ Year ▼ The theory of composites. Zbl 0993.74002 Milton, Graeme W. 362 2002 On the cloaking effects associated with anomalous localized resonance. Zbl 1149.00310 Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P. 109 2006 Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance. Zbl 1282.78004 Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W. 101 2013 On modifications of Newton’s second law and linear continuum elastodynamics. Zbl 1347.74080 Milton, Graeme W.; Willis, John R. 92 2007 Modelling the properties of composites by laminates. Zbl 0631.73011 Milton, G. W. 87 1986 Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012 Milton, Graeme W.; Kohn, Robert V. 74 1988 On characterizing the set of possible effective tensors of composites: The variational method and the translation method. Zbl 0751.73041 Milton, Graeme W. 72 1990 New bounds on effective elastic moduli of two-component materials. Zbl 0497.73016 Milton, G. W.; Phan-Thien, N. 44 1982 Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture. Zbl 1134.74013 Kang, Hyeonbae; Milton, Graeme W. 41 2008 Neutral coated inclusions in conductivity and anti-plane elasticity. Zbl 1090.74558 Milton, Graeme W.; Serkov, Sergey K. 38 2001 A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance. Zbl 1255.78002 Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P.; McPhedran, Ross C.; Podolskiy, Viktor A. 38 2005 Inclusion pairs satisfying Eshelby’s uniformity property. Zbl 1159.74387 Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W. 36 2008 Bounds on the elastic and transport properties of two-component composites. Zbl 0486.73063 Milton, G. W. 35 1982 Composite materials with Poisson’s ratios close to -1. Zbl 0780.73047 Milton, Graeme W. 35 1992 Anomalous localized resonance using a folded geometry in three dimensions. Zbl 1348.78006 Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W. 32 2013 Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking by aomalous localized resonance. II. Zbl 1330.35421 Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W. 28 2014 Active exterior cloaking for the 2D Laplace and Helmholtz Equations. Zbl 1254.78031 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 25 2009 An accelerated FFT algorithm for thermoelastic and nonlinear composites. Zbl 1195.74302 Vinogradov, V.; Milton, G. W. 24 2008 New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages. Zbl 1077.74591 Benveniste, Y.; Milton, G. W. 22 2003 On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053 Milton, Graeme; Briane, Marc; Harutyunyan, Davit 19 2017 Optimal bounds on the effective bulk modulus of polycrystals. Zbl 0702.73078 Avellaneda, Marco; Milton, Graeme W. 18 1989 Change of sign of the corrector’s determinant for homogenization in three-dimensional conductivity. Zbl 1118.78009 Briane, Marc; Milton, Graeme W.; Nesi, Vincenzo 17 2004 Invariant properties of the stress in plane elasticity and equivalence classes of composites. Zbl 0791.73011 Cherkaev, Andrei V.; Lurie, Konstantin A.; Milton, Graeme W. 17 1992 New bounds on the effective thermal conductivity of N-phase materials. Zbl 0503.73004 Phan-Thien, N.; Milton, G. W. 16 1982 Bounding the current in nonlinear conducting composites. Zbl 0991.78019 Milton, Graeme W.; Serkov, Sergey K. 16 2000 Polycrystalline configurations that maximize electrical resistivity. Zbl 0734.73068 Nesi, Vincenzo; Milton, Graeme W. 16 1991 Multicomponent composites, electrical networks and new types of continued fraction. I. Zbl 0624.41017 Milton, G. W. 16 1987 Progress on the strong Eshelby’s conjecture and extremal structures for the elastic moment tensor. Zbl 1262.74018 Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.; Zribi, Habib 16 2010 On the effective viscoelastic moduli of two-phase media. I: Rigorous bounds on the complex bulk modulus. Zbl 0816.73037 Gibiansky, L. V.; Milton, G. W. 15 1993 Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases. Zbl 1328.74075 Kochmann, Dennis M.; Milton, Graeme W. 14 2014 Exterior cloaking with active sources in two-dimensional acoustics. Zbl 1283.76065 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 14 2011 On bounding the effective conductivity of anisotropic composites. Zbl 0631.73012 Kohn, Robert V.; Milton, Graeme W. 13 1986 Exact relations for effective tensors of composites: necessary conditions and sufficient conditions. Zbl 1041.74057 Grabovsky, Yury; Milton, Graeme W.; Sage, Daniel S. 12 2000 High-frequency homogenization for travelling waves in periodic media. Zbl 1371.35005 Harutyunyan, Davit; Milton, Graeme W.; Craster, Richard V. 12 2016 Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method. Zbl 1252.35281 Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W. 12 2012 Proof of a conjecture on the conductivity of checkerboards. Zbl 1063.82018 Milton, Graeme W. 11 2001 Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking. Zbl 1375.30046 Cassier, Maxence; Milton, Graeme W. 10 2017 Bounds on the volume fractions of two materials in a three-dimensional body from boundary measurements by the translation method. Zbl 1277.78026 Kang, Hyeonbae; Milton, Graeme W. 10 2013 On the effective viscoelastic moduli of two-phase media. III: Rigorous bounds on the complex shear modulus in two dimensions. Zbl 0946.74049 Gibiansky, Leonid V.; Milton, Graeme W.; Berryman, James G. 9 1999 Optimal bounds correlating electric, magnetic and thermal properties of two-phase, two-dimensional composites. Zbl 0823.73043 Clark, Karen E.; Milton, Graeme W. 9 1995 On the effective viscoelastic moduli of two-phase media. II: Rigorous bounds on the complex shear modulus in three dimensions. Zbl 0934.74061 Milton, G. W.; Berryman, J. G. 9 1997 Representations for the conductivity functions of multicomponent composites. Zbl 0715.35075 Milton, G. W.; Golden, K. 9 1990 Multicomponent composites, electrical networks and new types of continued fraction. II. Zbl 0624.41018 Milton, G. W. 9 1987 Minimization variational principles for acoustics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency. Zbl 1186.74044 Milton, Graeme W.; Seppecher, Pierre; Bouchitté, Guy 8 2009 Duality relations, correspondences and numerical results for planar elastic composites. Zbl 0969.74567 Helsing, J.; Milton, G. W.; Movchan, A. B. 8 1997 On hierarchical structures and reiterated homogenization. Zbl 1021.35011 Lukkassen, Dag; Milton, Graeme W. 8 2002 Sets of conductivity and elasticity tensors stable under lamination. Zbl 0797.73032 Francfort, Gilles A.; Milton, Graeme W. 7 1994 Modelling the effective conductivity function of an arbitrary two- dimensional polycrystal using sequential laminates. Zbl 0807.46091 Clark, Karen E.; Milton, Graeme W. 7 1994 Which electric fields are realizable in conducting materials? Zbl 1315.35021 Briane, Marc; Milton, Graeme W.; Treibergs, Andrejs 7 2014 Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin-Shtrikman type. Zbl 1211.74180 Milton, Graeme W.; Willis, John R. 6 2010 A correspondence between plane elasticity and the two-dimensional real and complex dielectric equations in anisotropic media. Zbl 0833.73044 Milton, G. W.; Movchan, A. B. 6 1995 On conjectures of Polya-Szegö and Eshelby. Zbl 1111.35119 Kang, Hyeonbae; Milton, Graeme W. 6 2006 Sharp inequalities that generalize the divergence theorem: an extension of the notion of quasi-convexity. Zbl 1371.49010 Milton, Graeme W. 6 2013 Towards characterization of all \(3 \times 3\) extremal quasiconvex quadratic forms. Zbl 1499.74054 Harutyunyan, Davit; Milton, Graeme Walter 6 2017 New third-order bounds on the effective moduli of N-phase composites. Zbl 0513.73004 Phan-Thien, N.; Milton, G. W. 5 1983 Optimal \(G\)-closure bounds via stability under lamination. Zbl 0941.74012 Milton, G. W.; Nesi, V. 5 1999 Homogenization of the three-dimensional Hall effect and change of sign of the Hall coefficient. Zbl 1170.74019 Briane, Marc; Milton, Graeme W. 5 2009 A brief review of the translation method for bounding effective elastic tensors of composites. Zbl 0737.73019 Milton, G. W. 5 1990 Homogenization of the two-dimensional Hall effect. Zbl 1206.78090 Briane, M.; Manceau, D.; Milton, G. W. 5 2008 The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. I: The self-consistent scheme in matrix-based composites. Zbl 1244.74009 Benveniste, Yakov; Milton, Graeme W. 5 2010 Explicit examples of extremal quasiconvex quadratic forms that are not polyconvex. Zbl 1329.26024 Harutyunyan, Davit; Milton, Graeme Walter 5 2015 Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. Zbl 1368.74054 Milton, Graeme; Harutyunyan, Davit; Briane, Marc 5 2017 Mathematical analysis of the two dimensional active exterior cloaking in the quasistatic regime. Zbl 1254.31001 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 5 2012 Complete characterization and synthesis of the response function of elastodynamic networks. Zbl 1273.74144 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 4 2011 The total creep of viscoelastic composites under hydrostatic or antiplane loading. Zbl 1120.74733 Vinogradov, V.; Milton, G. W. 4 2005 Non-local interactions in the homogenization closure of thermoelectric functionals. Zbl 1071.35013 Camar-Eddine, M.; Milton, G. W. 4 2005 The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. II: The generalized self-consistent scheme in matrix-based composites. Zbl 1244.74010 Benveniste, Yakov; Milton, Graeme W. 4 2010 Addendum to ‘Sharp inequalities that generalize the divergence theorem: an extension of the notion of quasi-convexity’. Zbl 1371.49011 Milton, Graeme W. 4 2015 Bounds on the size of an inclusion using the translation method for two-dimensional complex conductivity. Zbl 1311.65135 Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae; Li, Xiaofei; Milton, Graeme W. 4 2014 On the relation between extremal elasticity tensors with orthotropic symmetry and extremal polynomials. Zbl 1365.35176 Harutyunyan, Davit; Milton, Graeme Walter 4 2017 Realizable (average stress, average strain) pairs in a plate with holes. Zbl 1048.74034 Milton, G. W.; Serkov, S. K.; Movchan, A. B. 4 2003 Bounds on the volume of an inclusion in a body from a complex conductivity measurement. Zbl 1321.35221 Thaler, Andrew E.; Milton, Graeme W. 4 2015 Realizable response matrices of multi-terminal electrical, acoustic and elastodynamic networks at a given frequency. Zbl 1135.94341 Milton, Graeme W.; Seppecher, Pierre 3 2008 Rank one plus a null-Lagrangian is an inherited property of two-dimensional compliance tensors under homogenisation. Zbl 0917.73046 Grabovsky, Yury; Milton, Graeme W. 3 1998 Giant Hall effect in composites. Zbl 1181.35016 Briane, Marc; Milton, Graeme W. 3 2009 The field equation recursion method. Zbl 0739.73002 Milton, Graeme W. 3 1991 A link between sets of tensors stable under lamination and quasiconvexity. Zbl 0821.73008 Milton, Graeme W. 3 1994 Criteria for guaranteed breakdown in two-phase inhomogeneous bodies. Zbl 1434.78018 Bardsley, Patrick; Primrose, Michael S.; Zhao, Michael; Boyle, Jonathan; Briggs, Nathan; Koch, Zoe; Milton, Graeme W. 3 2017 Sensitivity of anomalous localized resonance phenomena with respect to dissipation. Zbl 1341.35156 Meklachi, Taoufik; Milton, Graeme W.; Onofrei, Daniel; Thaler, Andrew E.; Funchess, Gregory 3 2016 Bounds on the volume fraction of the two-phase shallow shell using one measurement. Zbl 1455.74061 Kang, Hyeonbae; Milton, Graeme W.; Wang, Jenn-Nan 3 2014 Inclusions of general shapes having constant field inside the core and nonelliptical neutral coated inclusions with anisotropic conductivity. Zbl 1447.35318 Lim, Mikyoung; Milton, Graeme W. 3 2020 Bubbly flow and its relation to conduction in composites. Zbl 0729.76595 Smereka, Peter; Milton, Graeme W. 2 1991 Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements. Zbl 1244.74050 Milton, Graeme W. 2 2012 Effective conductivities of thin-interphase composites. Zbl 1451.74027 Alali, Bacim; Milton, Graeme W. 2 2013 On the forces that cable webs under tension can support and how to design cable webs to channel stresses. Zbl 1427.74078 Bouchitté, Guy; Mattei, Ornella; Milton, Graeme W.; Seppecher, Pierre 2 2019 Electromagnetic circuits. Zbl 1259.35192 Milton, Graeme W.; Seppecher, Pierre 2 2010 A new route to finding bounds on the generalized spectrum of many physical operators. Zbl 1395.35079 Milton, Graeme W. 2 2018 Field patterns: a new mathematical object. Zbl 1404.83011 Milton, Graeme W.; Mattei, Ornella 2 2017 The proof that laminates generate all possible effective conductivity functions of two-dimensional, two-phase materials. Zbl 0675.76106 Milton, Graeme W. 1 1986 An antisymmetric effective Hall matrix. Zbl 1213.35058 Briane, Marc; Milton, Graeme W. 1 2010 New bounds on strong field magneto-transport in multiphase columnar composites. Zbl 1230.35013 Briane, Marc; Milton, Graeme W. 1 2010 Exact relations for composites: Towards a complete solution. Zbl 0896.35013 Grabovsky, Yury; Milton, Graeme W. 1 1998 Random media and composites. Proceedings of the SIAM workshop, Leesburg, Virginia (USA), December 7-10, 1988. Zbl 0707.00028 1 1989 Exact determination of the volume of an inclusion in a body having constant shear modulus. Zbl 1308.74027 Thaler, Andrew E.; Milton, Graeme W. 1 2014 Isotropic realizability of current fields in \(\mathbb{R}^3\). Zbl 1317.35003 Briane, M.; Milton, G. W. 1 2015 Can mixing materials make electromagnetic signals travel faster? Zbl 1017.78004 Solna, Knut; Milton, Graeme W. 1 2002 An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry. Zbl 07749387 Mattei, Ornella; Milton, Graeme W.; Putinar, Mihai 1 2023 Near optimal pentamodes as a tool for guiding stress while minimizing compliance in \(3d\)-printed materials: a complete solution to the weak \(G\)-closure problem for \(3d\)-printed materials. Zbl 1441.74014 Milton, Graeme W.; Camar-Eddine, Mohamed 1 2018 Approximating the effective tensor as a function of the component tensors in two-dimensional composites of two anisotropic phases. Zbl 1393.35012 Milton, Graeme W. 1 2018 Exact relations for Green’s functions in linear PDE and boundary field equalities: a generalization of conservation laws. Zbl 1432.35060 Milton, Graeme W.; Onofrei, Daniel 1 2019 An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry. Zbl 07749387 Mattei, Ornella; Milton, Graeme W.; Putinar, Mihai 1 2023 Inclusions of general shapes having constant field inside the core and nonelliptical neutral coated inclusions with anisotropic conductivity. Zbl 1447.35318 Lim, Mikyoung; Milton, Graeme W. 3 2020 On the forces that cable webs under tension can support and how to design cable webs to channel stresses. Zbl 1427.74078 Bouchitté, Guy; Mattei, Ornella; Milton, Graeme W.; Seppecher, Pierre 2 2019 Exact relations for Green’s functions in linear PDE and boundary field equalities: a generalization of conservation laws. Zbl 1432.35060 Milton, Graeme W.; Onofrei, Daniel 1 2019 A new route to finding bounds on the generalized spectrum of many physical operators. Zbl 1395.35079 Milton, Graeme W. 2 2018 Near optimal pentamodes as a tool for guiding stress while minimizing compliance in \(3d\)-printed materials: a complete solution to the weak \(G\)-closure problem for \(3d\)-printed materials. Zbl 1441.74014 Milton, Graeme W.; Camar-Eddine, Mohamed 1 2018 Approximating the effective tensor as a function of the component tensors in two-dimensional composites of two anisotropic phases. Zbl 1393.35012 Milton, Graeme W. 1 2018 On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053 Milton, Graeme; Briane, Marc; Harutyunyan, Davit 19 2017 Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking. Zbl 1375.30046 Cassier, Maxence; Milton, Graeme W. 10 2017 Towards characterization of all \(3 \times 3\) extremal quasiconvex quadratic forms. Zbl 1499.74054 Harutyunyan, Davit; Milton, Graeme Walter 6 2017 Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. Zbl 1368.74054 Milton, Graeme; Harutyunyan, Davit; Briane, Marc 5 2017 On the relation between extremal elasticity tensors with orthotropic symmetry and extremal polynomials. Zbl 1365.35176 Harutyunyan, Davit; Milton, Graeme Walter 4 2017 Criteria for guaranteed breakdown in two-phase inhomogeneous bodies. Zbl 1434.78018 Bardsley, Patrick; Primrose, Michael S.; Zhao, Michael; Boyle, Jonathan; Briggs, Nathan; Koch, Zoe; Milton, Graeme W. 3 2017 Field patterns: a new mathematical object. Zbl 1404.83011 Milton, Graeme W.; Mattei, Ornella 2 2017 High-frequency homogenization for travelling waves in periodic media. Zbl 1371.35005 Harutyunyan, Davit; Milton, Graeme W.; Craster, Richard V. 12 2016 Sensitivity of anomalous localized resonance phenomena with respect to dissipation. Zbl 1341.35156 Meklachi, Taoufik; Milton, Graeme W.; Onofrei, Daniel; Thaler, Andrew E.; Funchess, Gregory 3 2016 Explicit examples of extremal quasiconvex quadratic forms that are not polyconvex. Zbl 1329.26024 Harutyunyan, Davit; Milton, Graeme Walter 5 2015 Addendum to ‘Sharp inequalities that generalize the divergence theorem: an extension of the notion of quasi-convexity’. Zbl 1371.49011 Milton, Graeme W. 4 2015 Bounds on the volume of an inclusion in a body from a complex conductivity measurement. Zbl 1321.35221 Thaler, Andrew E.; Milton, Graeme W. 4 2015 Isotropic realizability of current fields in \(\mathbb{R}^3\). Zbl 1317.35003 Briane, M.; Milton, G. W. 1 2015 Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking by aomalous localized resonance. II. Zbl 1330.35421 Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W. 28 2014 Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases. Zbl 1328.74075 Kochmann, Dennis M.; Milton, Graeme W. 14 2014 Which electric fields are realizable in conducting materials? Zbl 1315.35021 Briane, Marc; Milton, Graeme W.; Treibergs, Andrejs 7 2014 Bounds on the size of an inclusion using the translation method for two-dimensional complex conductivity. Zbl 1311.65135 Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae; Li, Xiaofei; Milton, Graeme W. 4 2014 Bounds on the volume fraction of the two-phase shallow shell using one measurement. Zbl 1455.74061 Kang, Hyeonbae; Milton, Graeme W.; Wang, Jenn-Nan 3 2014 Exact determination of the volume of an inclusion in a body having constant shear modulus. Zbl 1308.74027 Thaler, Andrew E.; Milton, Graeme W. 1 2014 Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance. Zbl 1282.78004 Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W. 101 2013 Anomalous localized resonance using a folded geometry in three dimensions. Zbl 1348.78006 Ammari, Habib; Ciraolo, Giulio; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W. 32 2013 Bounds on the volume fractions of two materials in a three-dimensional body from boundary measurements by the translation method. Zbl 1277.78026 Kang, Hyeonbae; Milton, Graeme W. 10 2013 Sharp inequalities that generalize the divergence theorem: an extension of the notion of quasi-convexity. Zbl 1371.49010 Milton, Graeme W. 6 2013 Effective conductivities of thin-interphase composites. Zbl 1451.74027 Alali, Bacim; Milton, Graeme W. 2 2013 Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method. Zbl 1252.35281 Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W. 12 2012 Mathematical analysis of the two dimensional active exterior cloaking in the quasistatic regime. Zbl 1254.31001 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 5 2012 Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements. Zbl 1244.74050 Milton, Graeme W. 2 2012 Exterior cloaking with active sources in two-dimensional acoustics. Zbl 1283.76065 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 14 2011 Complete characterization and synthesis of the response function of elastodynamic networks. Zbl 1273.74144 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 4 2011 Progress on the strong Eshelby’s conjecture and extremal structures for the elastic moment tensor. Zbl 1262.74018 Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.; Zribi, Habib 16 2010 Minimum variational principles for time-harmonic waves in a dissipative medium and associated variational principles of Hashin-Shtrikman type. Zbl 1211.74180 Milton, Graeme W.; Willis, John R. 6 2010 The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. I: The self-consistent scheme in matrix-based composites. Zbl 1244.74009 Benveniste, Yakov; Milton, Graeme W. 5 2010 The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. II: The generalized self-consistent scheme in matrix-based composites. Zbl 1244.74010 Benveniste, Yakov; Milton, Graeme W. 4 2010 Electromagnetic circuits. Zbl 1259.35192 Milton, Graeme W.; Seppecher, Pierre 2 2010 An antisymmetric effective Hall matrix. Zbl 1213.35058 Briane, Marc; Milton, Graeme W. 1 2010 New bounds on strong field magneto-transport in multiphase columnar composites. Zbl 1230.35013 Briane, Marc; Milton, Graeme W. 1 2010 Active exterior cloaking for the 2D Laplace and Helmholtz Equations. Zbl 1254.78031 Guevara Vasquez, Fernando; Milton, Graeme W.; Onofrei, Daniel 25 2009 Minimization variational principles for acoustics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency. Zbl 1186.74044 Milton, Graeme W.; Seppecher, Pierre; Bouchitté, Guy 8 2009 Homogenization of the three-dimensional Hall effect and change of sign of the Hall coefficient. Zbl 1170.74019 Briane, Marc; Milton, Graeme W. 5 2009 Giant Hall effect in composites. Zbl 1181.35016 Briane, Marc; Milton, Graeme W. 3 2009 Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture. Zbl 1134.74013 Kang, Hyeonbae; Milton, Graeme W. 41 2008 Inclusion pairs satisfying Eshelby’s uniformity property. Zbl 1159.74387 Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W. 36 2008 An accelerated FFT algorithm for thermoelastic and nonlinear composites. Zbl 1195.74302 Vinogradov, V.; Milton, G. W. 24 2008 Homogenization of the two-dimensional Hall effect. Zbl 1206.78090 Briane, M.; Manceau, D.; Milton, G. W. 5 2008 Realizable response matrices of multi-terminal electrical, acoustic and elastodynamic networks at a given frequency. Zbl 1135.94341 Milton, Graeme W.; Seppecher, Pierre 3 2008 On modifications of Newton’s second law and linear continuum elastodynamics. Zbl 1347.74080 Milton, Graeme W.; Willis, John R. 92 2007 On the cloaking effects associated with anomalous localized resonance. Zbl 1149.00310 Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P. 109 2006 On conjectures of Polya-Szegö and Eshelby. Zbl 1111.35119 Kang, Hyeonbae; Milton, Graeme W. 6 2006 A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance. Zbl 1255.78002 Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P.; McPhedran, Ross C.; Podolskiy, Viktor A. 38 2005 The total creep of viscoelastic composites under hydrostatic or antiplane loading. Zbl 1120.74733 Vinogradov, V.; Milton, G. W. 4 2005 Non-local interactions in the homogenization closure of thermoelectric functionals. Zbl 1071.35013 Camar-Eddine, M.; Milton, G. W. 4 2005 Change of sign of the corrector’s determinant for homogenization in three-dimensional conductivity. Zbl 1118.78009 Briane, Marc; Milton, Graeme W.; Nesi, Vincenzo 17 2004 New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages. Zbl 1077.74591 Benveniste, Y.; Milton, G. W. 22 2003 Realizable (average stress, average strain) pairs in a plate with holes. Zbl 1048.74034 Milton, G. W.; Serkov, S. K.; Movchan, A. B. 4 2003 The theory of composites. Zbl 0993.74002 Milton, Graeme W. 362 2002 On hierarchical structures and reiterated homogenization. Zbl 1021.35011 Lukkassen, Dag; Milton, Graeme W. 8 2002 Can mixing materials make electromagnetic signals travel faster? Zbl 1017.78004 Solna, Knut; Milton, Graeme W. 1 2002 Neutral coated inclusions in conductivity and anti-plane elasticity. Zbl 1090.74558 Milton, Graeme W.; Serkov, Sergey K. 38 2001 Proof of a conjecture on the conductivity of checkerboards. Zbl 1063.82018 Milton, Graeme W. 11 2001 Bounding the current in nonlinear conducting composites. Zbl 0991.78019 Milton, Graeme W.; Serkov, Sergey K. 16 2000 Exact relations for effective tensors of composites: necessary conditions and sufficient conditions. Zbl 1041.74057 Grabovsky, Yury; Milton, Graeme W.; Sage, Daniel S. 12 2000 On the effective viscoelastic moduli of two-phase media. III: Rigorous bounds on the complex shear modulus in two dimensions. Zbl 0946.74049 Gibiansky, Leonid V.; Milton, Graeme W.; Berryman, James G. 9 1999 Optimal \(G\)-closure bounds via stability under lamination. Zbl 0941.74012 Milton, G. W.; Nesi, V. 5 1999 Rank one plus a null-Lagrangian is an inherited property of two-dimensional compliance tensors under homogenisation. Zbl 0917.73046 Grabovsky, Yury; Milton, Graeme W. 3 1998 Exact relations for composites: Towards a complete solution. Zbl 0896.35013 Grabovsky, Yury; Milton, Graeme W. 1 1998 On the effective viscoelastic moduli of two-phase media. II: Rigorous bounds on the complex shear modulus in three dimensions. Zbl 0934.74061 Milton, G. W.; Berryman, J. G. 9 1997 Duality relations, correspondences and numerical results for planar elastic composites. Zbl 0969.74567 Helsing, J.; Milton, G. W.; Movchan, A. B. 8 1997 Optimal bounds correlating electric, magnetic and thermal properties of two-phase, two-dimensional composites. Zbl 0823.73043 Clark, Karen E.; Milton, Graeme W. 9 1995 A correspondence between plane elasticity and the two-dimensional real and complex dielectric equations in anisotropic media. Zbl 0833.73044 Milton, G. W.; Movchan, A. B. 6 1995 Sets of conductivity and elasticity tensors stable under lamination. Zbl 0797.73032 Francfort, Gilles A.; Milton, Graeme W. 7 1994 Modelling the effective conductivity function of an arbitrary two- dimensional polycrystal using sequential laminates. Zbl 0807.46091 Clark, Karen E.; Milton, Graeme W. 7 1994 A link between sets of tensors stable under lamination and quasiconvexity. Zbl 0821.73008 Milton, Graeme W. 3 1994 On the effective viscoelastic moduli of two-phase media. I: Rigorous bounds on the complex bulk modulus. Zbl 0816.73037 Gibiansky, L. V.; Milton, G. W. 15 1993 Composite materials with Poisson’s ratios close to -1. Zbl 0780.73047 Milton, Graeme W. 35 1992 Invariant properties of the stress in plane elasticity and equivalence classes of composites. Zbl 0791.73011 Cherkaev, Andrei V.; Lurie, Konstantin A.; Milton, Graeme W. 17 1992 Polycrystalline configurations that maximize electrical resistivity. Zbl 0734.73068 Nesi, Vincenzo; Milton, Graeme W. 16 1991 The field equation recursion method. Zbl 0739.73002 Milton, Graeme W. 3 1991 Bubbly flow and its relation to conduction in composites. Zbl 0729.76595 Smereka, Peter; Milton, Graeme W. 2 1991 On characterizing the set of possible effective tensors of composites: The variational method and the translation method. Zbl 0751.73041 Milton, Graeme W. 72 1990 Representations for the conductivity functions of multicomponent composites. Zbl 0715.35075 Milton, G. W.; Golden, K. 9 1990 A brief review of the translation method for bounding effective elastic tensors of composites. Zbl 0737.73019 Milton, G. W. 5 1990 Optimal bounds on the effective bulk modulus of polycrystals. Zbl 0702.73078 Avellaneda, Marco; Milton, Graeme W. 18 1989 Random media and composites. Proceedings of the SIAM workshop, Leesburg, Virginia (USA), December 7-10, 1988. Zbl 0707.00028 1 1989 Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012 Milton, Graeme W.; Kohn, Robert V. 74 1988 Multicomponent composites, electrical networks and new types of continued fraction. I. Zbl 0624.41017 Milton, G. W. 16 1987 Multicomponent composites, electrical networks and new types of continued fraction. II. Zbl 0624.41018 Milton, G. W. 9 1987 Modelling the properties of composites by laminates. Zbl 0631.73011 Milton, G. W. 87 1986 On bounding the effective conductivity of anisotropic composites. Zbl 0631.73012 Kohn, Robert V.; Milton, Graeme W. 13 1986 The proof that laminates generate all possible effective conductivity functions of two-dimensional, two-phase materials. Zbl 0675.76106 Milton, Graeme W. 1 1986 New third-order bounds on the effective moduli of N-phase composites. Zbl 0513.73004 Phan-Thien, N.; Milton, G. W. 5 1983 New bounds on effective elastic moduli of two-component materials. Zbl 0497.73016 Milton, G. W.; Phan-Thien, N. 44 1982 Bounds on the elastic and transport properties of two-component composites. Zbl 0486.73063 Milton, G. W. 35 1982 New bounds on the effective thermal conductivity of N-phase materials. Zbl 0503.73004 Phan-Thien, N.; Milton, G. W. 16 1982 all cited Publications top 5 cited Publications all top 5 Cited by 1,343 Authors 56 Milton, Graeme Walter 36 Schiavone, Peter 33 Kang, Hyeonbae 32 Wang, Xu 30 Ammari, Habib 26 Liu, Hongyu 22 Nguyen, Hoai-Minh 19 Briane, Marc 18 Lim, Mikyoung 17 He, Qichang 17 Schneider, Matti 16 Lipton, Robert P. 15 Onofrei, Daniel 14 Nesi, Vincenzo 13 Guenneau, Sebastien R. L. 13 Ponte Castañeda, Pedro 12 Capdeboscq, Yves 12 Deng, Youjun 12 Lee, Hyundae 12 Li, Hongjie 12 Mityushev, Vladimir V. 11 Chen, Tungyang 11 Helsing, Johan 10 Idiart, Martín I. 10 Rodríguez-Ramos, Reinaldo 10 Yu, SangHyeon 9 Benveniste, Yakov 9 Norris, Andrew N. 9 Parnell, William J. 9 Willis, John Raymond 8 Cherkaev, Andrej V. 8 Dai, Ming 8 Gao, Cun-Fa 8 Geers, Marc G. D. 8 Grabovsky, Yury 8 Guevara Vasquez, Fernando 8 Kamiński, Marcin Marek 8 Le Quang, Hung 8 Movchan, Alexander B. 8 Sevostianov, Igor 8 Triki, Faouzi 7 Ando, Kazunori 7 Böhlke, Thomas 7 Cherkaev, Elena 7 Gibiansky, Leonid V. 7 Kohn, Robert Vita 7 Lukkassen, Dag 7 Mattei, Ornella 7 Penta, Raimondo 7 Suquet, Pierre-Marie 7 Visintin, Augusto 7 Vondřejc, Jaroslav 7 Zeman, Jan 7 Zhang, Hai 6 Andrianov, Igor Vasil’evich 6 Bonnetier, Eric 6 Bravo-Castillero, Julián 6 Brun, Michele 6 Ganghoffer, Jean-François 6 Guinovart-Díaz, Raúl 6 Guzina, Bojan B. 6 Harutyunyan, Davit 6 Kabel, Matthias 6 Kouznetsova, Varvara G. 6 Lassas, Matti J. 6 Li, Jichun 6 Monchiet, Vincent 6 Ramírez-Torres, Ariel 6 Sabina, Federico J. 6 Vogelius, Michael S. 6 Yang, Ping 6 Zheng, Guanghui 6 Zou, Wennan 5 Bellis, Cédric 5 Bhattacharya, Kaushik 5 Bonnet, Guy 5 Buryachenko, Valeriy A. 5 Cassier, Maxence 5 Choi, Doosung 5 Conti, Sergio 5 Craster, Richard V. 5 Giorgio, Ivan 5 Kalamkarov, Alexander L. 5 Kim, Kyoungsun 5 Liu, Liping 5 Mogilevskaya, Sofia G. 5 Obnosov, Yurii V. 5 Pham, Duc Chinh 5 Putinar, Mihai 5 Ruiz, Matias 5 Sage, Daniel S. 5 Seppecher, Pierre 5 Sigmund, Ole 5 Uhlmann, Gunther Alberto 5 Zheng, Quanshui 4 Alberti, Giovanni S. 4 Andrä, Heiko 4 Barchiesi, Emilio 4 Berdichevskiĭ, Viktor L’vovich 4 Calvo-Jurado, Carmen ...and 1,243 more Authors all top 5 Cited in 189 Serials 112 Journal of the Mechanics and Physics of Solids 50 International Journal of Engineering Science 48 Acta Mechanica 47 Archive for Rational Mechanics and Analysis 45 Computer Methods in Applied Mechanics and Engineering 40 Mathematics and Mechanics of Solids 34 European Journal of Mechanics. A. Solids 31 Journal of Elasticity 28 Wave Motion 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Computational Mechanics 26 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 20 Journal of Mathematical Physics 20 SIAM Journal on Applied Mathematics 17 International Journal for Numerical Methods in Engineering 17 Continuum Mechanics and Thermodynamics 17 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Calculus of Variations and Partial Differential Equations 15 SIAM Journal on Mathematical Analysis 15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 13 Journal of Computational Physics 13 Journal of Differential Equations 12 Mathematical Methods in the Applied Sciences 12 European Journal of Applied Mathematics 11 International Journal of Solids and Structures 11 Applied Mathematical Modelling 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Communications in Mathematical Physics 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Computers & Mathematics with Applications 9 Journal of Mathematical Analysis and Applications 8 Multiscale Modeling & Simulation 7 Applicable Analysis 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Archive of Applied Mechanics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Waves in Random and Complex Media 5 Journal of Statistical Physics 5 Physics Letters. A 5 Quarterly of Applied Mathematics 4 Communications on Pure and Applied Mathematics 4 Journal d’Analyse Mathématique 4 Journal of Engineering Mathematics 4 Mathematische Annalen 4 Applications of Mathematics 4 International Applied Mechanics 4 Engineering Analysis with Boundary Elements 4 New Journal of Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Acta Mechanica Sinica 4 Networks and Heterogeneous Media 4 Advances in Mathematical Physics 4 AMM. Applied Mathematics and Mechanics. (English Edition) 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 International Journal of Modern Physics B 3 Inverse Problems 3 Journal of Functional Analysis 3 Mechanics Research Communications 3 Advances in Applied Mathematics 3 Journal of Integral Equations and Applications 3 Communications in Partial Differential Equations 3 Journal of Modern Optics 3 SIAM Journal on Imaging Sciences 3 Mathematics and Mechanics of Complex Systems 3 Mathematics in Engineering 2 Archives of Mechanics 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 International Journal of Plasticity 2 Journal of Fluid Mechanics 2 Physica A 2 Physics Reports 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Acta Mathematica Vietnamica 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Meccanica 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Revista Matemática Iberoamericana 2 Linear Algebra and its Applications 2 SIAM Journal on Scientific Computing 2 St. Petersburg Mathematical Journal 2 Computing and Visualization in Science 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Inverse Problems in Science and Engineering 2 Inverse Problems and Imaging 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Advances in Applied Mathematics and Mechanics 2 Research in the Mathematical Sciences ...and 89 more Serials all top 5 Cited in 47 Fields 752 Mechanics of deformable solids (74-XX) 324 Partial differential equations (35-XX) 170 Optics, electromagnetic theory (78-XX) 98 Numerical analysis (65-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 62 Fluid mechanics (76-XX) 54 Statistical mechanics, structure of matter (82-XX) 39 Functions of a complex variable (30-XX) 31 Operator theory (47-XX) 27 Integral equations (45-XX) 20 Potential theory (31-XX) 18 Classical thermodynamics, heat transfer (80-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Functional analysis (46-XX) 12 Quantum theory (81-XX) 12 Biology and other natural sciences (92-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 9 Convex and discrete geometry (52-XX) 9 Mechanics of particles and systems (70-XX) 8 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Operations research, mathematical programming (90-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Differential geometry (53-XX) 5 Computer science (68-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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