Edit Profile Chafaï, Djalil Compute Distance To: Compute Author ID: chafai.djalil Published as: Chafai, Djalil; Chafaï, D.; Chafaï, Djalil; Chafaı, Djalil Homepage: http://djalil.chafai.net/ Documents Indexed: 47 Publications since 1999, including 4 Books Reviewing Activity: 3 Reviews all top 5 Co-Authors 9 single-authored 9 Bordenave, Charles 7 Caputo, Pietro 5 Concordet, Didier 4 Malrieu, Florent 2 Adamczak, Radosław 2 Bonnefont, Michel 2 Cattiaux, Patrick 2 Ferré, Grégoire 2 Péché, Sandrine 2 Tikhomirov, Konstantin E. 1 Ané, Cécile 1 Antic, J. 1 Bakry, Dominique 1 Baudoin, Fabrice 1 Benaych-Georges, Florent 1 Blachère, Sébastien 1 Bolley, François 1 de Tilière, Béatrice 1 Fontbona, Joaquin 1 Fougères, Pierre 1 García-Zelada, David 1 Gentil, Ivan 1 Gozlan, Nathael 1 Guédon, Olivier 1 Guillin, Arnaud 1 Hardy, Adrien 1 Herry, Ronan 1 Joulin, Aldéric 1 Jung, Paul H. 1 Laffont, C. M. 1 Lecué, Guillaume 1 Ledoux, Michel 1 Lehec, Joseph 1 Loubes, Jean-Michel 1 Maïda, Mylène 1 Motsch, Sébastien 1 Pajor, Alain 1 Paroux, Katy 1 Piras, Daniele 1 Roberto, Cyril 1 Scheffer, Grégory 1 Stoltz, Gabriel 1 Wolff, Paweł 1 Zitt, Pierre-André all top 5 Serials 3 Panoramas et Synthèses 2 Journal of Statistical Physics 2 The Annals of Probability 2 Journal of the American Statistical Association 2 Journal of Functional Analysis 2 Probability Theory and Related Fields 2 The Annals of Applied Probability 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Journal of Mathematics of Kyoto University 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Statistics & Probability Letters 1 Journal of Theoretical Probability 1 Asymptotic Analysis 1 Random Structures & Algorithms 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational Statistics and Data Analysis 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Markov Processes and Related Fields 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications in Contemporary Mathematics 1 Stochastic Models 1 Stochastics 1 Mathématiques & Applications (Berlin) 1 Probability Surveys 1 Random Matrices: Theory and Applications all top 5 Fields 39 Probability theory and stochastic processes (60-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 10 Statistics (62-XX) 9 Operator theory (47-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 40 Publications have been cited 637 times in 479 Documents Cited by ▼ Year ▼ On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. Zbl 0982.46026Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory 134 2000 Around the circular law. Zbl 1243.15022Bordenave, Charles; Chafaï, Djalil 64 2012 Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities. Zbl 1079.26009Chafaï, Djalil 57 2004 On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil 41 2008 First-order global asymptotics for confined particles with singular pair repulsion. Zbl 1304.82050Chafaï, Djalil; Gozlan, Nathael; Zitt, Pierre-André 39 2014 Spectrum of non-Hermitian heavy tailed random matrices. Zbl 1235.60008Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 24 2011 Circular law theorem for random Markov matrices. Zbl 1242.15034Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 22 2012 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 21 2012 A note on the second order universality at the edge of Coulomb gases on the plane. Zbl 1303.82013Chafaï, Djalil; Péché, Sandrine 20 2014 Spectrum of large random reversible Markov chains: heavy-tailed weights on the complete graph. Zbl 1245.60008Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 20 2011 On the long time behavior of the TCP window size process. Zbl 1196.68028Chafaï, Djalil; Malrieu, Florent; Paroux, Katy 20 2010 Interactions between compressed sensing random matrices and high dimensional geometry. Zbl 1396.94015Chafaï, Djalil; Guédon, Olivier; Lecué, Guillaume; Pajor, Alain 18 2012 Binomial-Poisson entropic inequalities and the M/M/\(\infty\) queue. Zbl 1188.60047Chafaï, Djalil 16 2006 Concentration for Coulomb gases and Coulomb transport inequalities. Zbl 1407.82045Chafaï, Djalil; Hardy, Adrien; Maïda, Mylène 14 2018 Circular law for random matrices with exchangeable entries. Zbl 1338.60009Adamczak, Radosław; Chafaï, Djalil; Wolff, Paweł 11 2016 Glauber versus Kawasaki for spectral gap and logarithmic Sobolev inequalities of some unbounded conservative spin systems. Zbl 1040.60081Chafaï, D. 11 2003 Intertwining and commutation relations for birth-death processes. Zbl 1286.60084Chafaï, Djalil; Joulin, Aldéric 9 2013 Dynamics of a planar Coulomb gas. Zbl 1401.82022Bolley, François; Chafaï, Djalil; Fontbona, Joaquín 8 2018 The Dirichlet Markov ensemble. Zbl 1187.15036Chafaï, Djalil 8 2010 Spectrum of large random reversible Markov chains: two examples. Zbl 1276.15016Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 7 2010 Circular law for noncentral random matrices. Zbl 1204.60008Chafaï, Djalil 7 2010 Aspects of large random Markov kernels. Zbl 1186.60004Chafai, Djalil 7 2009 On the spectral radius of a random matrix: an upper bound without fourth moment. Zbl 1393.05130Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Tikhomirov, Konstantin 6 2018 Circular law for random matrices with unconditional log-concave distribution. Zbl 1330.15038Adamczak, Radosław; Chafaï, Djalil 6 2015 Spectrum of Markov generators on sparse random graphs. Zbl 1301.60093Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 6 2014 Simulating Coulomb and log-gases with hybrid Monte Carlo algorithms. Zbl 07033123Chafaï, Djalil; Ferré, Grégoire 5 2019 On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities. Zbl 1204.60025Chafaï, Djalil; Malrieu, Florent 5 2010 Confidence regions for the multinomial parameter with small sample size. Zbl 1388.62062Chafaï, Djalil; Concordet, Didier 5 2009 Comparison of nonparametric methods in nonlinear mixed effects models. Zbl 1452.62245Antic, J.; Laffont, C. M.; Chafaï, D.; Concordet, D. 5 2009 On the strong consistency of asymptotic \(M\)-estimators. Zbl 1331.62113Chafaı, Djalil; Concordet, Didier 5 2007 Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph. Zbl 06794803Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Piras, Daniele 3 2017 On nonparametric maximum likelihood for a class of stochastic inverse problems. Zbl 1090.62031Chafaï, Djalil; Loubes, Jean-Michel 3 2006 From Boltzmann to random matrices and beyond. Zbl 1342.80001Chafaï, Djalil 2 2015 Lecture notes on the circular law. Zbl 1310.15070Bordenave, Charles; Chafaï, Djalil 2 2014 Macroscopic and edge behavior of a planar jellium. Zbl 1434.82032Chafaï, Djalil; García-Zelada, David; Jung, Paul 1 2020 On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence. Zbl 1384.15008Chafaï, Djalil; Tikhomirov, Konstantin 1 2018 Collected stochastic models. Zbl 1386.60001Chafaï, Djalil; Malrieu, Florent 1 2016 Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien 1 2010 Gaussian maximum of entropy and reversed log-Sobolev inequality. Zbl 1033.60013Chafaï, Djalil 1 2003 On Gaussian-like large deviations by functional methods. Zbl 0939.60019Chafaï, Djalil; Ledoux, Michel 1 1999 Macroscopic and edge behavior of a planar jellium. Zbl 1434.82032Chafaï, Djalil; García-Zelada, David; Jung, Paul 1 2020 Simulating Coulomb and log-gases with hybrid Monte Carlo algorithms. Zbl 07033123Chafaï, Djalil; Ferré, Grégoire 5 2019 Concentration for Coulomb gases and Coulomb transport inequalities. Zbl 1407.82045Chafaï, Djalil; Hardy, Adrien; Maïda, Mylène 14 2018 Dynamics of a planar Coulomb gas. Zbl 1401.82022Bolley, François; Chafaï, Djalil; Fontbona, Joaquín 8 2018 On the spectral radius of a random matrix: an upper bound without fourth moment. Zbl 1393.05130Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Tikhomirov, Konstantin 6 2018 On the convergence of the extremal eigenvalues of empirical covariance matrices with dependence. Zbl 1384.15008Chafaï, Djalil; Tikhomirov, Konstantin 1 2018 Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph. Zbl 06794803Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil; Piras, Daniele 3 2017 Circular law for random matrices with exchangeable entries. Zbl 1338.60009Adamczak, Radosław; Chafaï, Djalil; Wolff, Paweł 11 2016 Collected stochastic models. Zbl 1386.60001Chafaï, Djalil; Malrieu, Florent 1 2016 Circular law for random matrices with unconditional log-concave distribution. Zbl 1330.15038Adamczak, Radosław; Chafaï, Djalil 6 2015 From Boltzmann to random matrices and beyond. Zbl 1342.80001Chafaï, Djalil 2 2015 First-order global asymptotics for confined particles with singular pair repulsion. Zbl 1304.82050Chafaï, Djalil; Gozlan, Nathael; Zitt, Pierre-André 39 2014 A note on the second order universality at the edge of Coulomb gases on the plane. Zbl 1303.82013Chafaï, Djalil; Péché, Sandrine 20 2014 Spectrum of Markov generators on sparse random graphs. Zbl 1301.60093Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 6 2014 Lecture notes on the circular law. Zbl 1310.15070Bordenave, Charles; Chafaï, Djalil 2 2014 Intertwining and commutation relations for birth-death processes. Zbl 1286.60084Chafaï, Djalil; Joulin, Aldéric 9 2013 Around the circular law. Zbl 1243.15022Bordenave, Charles; Chafaï, Djalil 64 2012 Circular law theorem for random Markov matrices. Zbl 1242.15034Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 22 2012 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 21 2012 Interactions between compressed sensing random matrices and high dimensional geometry. Zbl 1396.94015Chafaï, Djalil; Guédon, Olivier; Lecué, Guillaume; Pajor, Alain 18 2012 Spectrum of non-Hermitian heavy tailed random matrices. Zbl 1235.60008Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 24 2011 Spectrum of large random reversible Markov chains: heavy-tailed weights on the complete graph. Zbl 1245.60008Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 20 2011 On the long time behavior of the TCP window size process. Zbl 1196.68028Chafaï, Djalil; Malrieu, Florent; Paroux, Katy 20 2010 The Dirichlet Markov ensemble. Zbl 1187.15036Chafaï, Djalil 8 2010 Spectrum of large random reversible Markov chains: two examples. Zbl 1276.15016Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil 7 2010 Circular law for noncentral random matrices. Zbl 1204.60008Chafaï, Djalil 7 2010 On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities. Zbl 1204.60025Chafaï, Djalil; Malrieu, Florent 5 2010 Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien 1 2010 Aspects of large random Markov kernels. Zbl 1186.60004Chafai, Djalil 7 2009 Confidence regions for the multinomial parameter with small sample size. Zbl 1388.62062Chafaï, Djalil; Concordet, Didier 5 2009 Comparison of nonparametric methods in nonlinear mixed effects models. Zbl 1452.62245Antic, J.; Laffont, C. M.; Chafaï, D.; Concordet, D. 5 2009 On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil 41 2008 On the strong consistency of asymptotic \(M\)-estimators. Zbl 1331.62113Chafaı, Djalil; Concordet, Didier 5 2007 Binomial-Poisson entropic inequalities and the M/M/\(\infty\) queue. Zbl 1188.60047Chafaï, Djalil 16 2006 On nonparametric maximum likelihood for a class of stochastic inverse problems. Zbl 1090.62031Chafaï, Djalil; Loubes, Jean-Michel 3 2006 Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities. Zbl 1079.26009Chafaï, Djalil 57 2004 Glauber versus Kawasaki for spectral gap and logarithmic Sobolev inequalities of some unbounded conservative spin systems. Zbl 1040.60081Chafaï, D. 11 2003 Gaussian maximum of entropy and reversed log-Sobolev inequality. Zbl 1033.60013Chafaï, Djalil 1 2003 On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. Zbl 0982.46026Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory 134 2000 On Gaussian-like large deviations by functional methods. Zbl 0939.60019Chafaï, Djalil; Ledoux, Michel 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 600 Authors 32 Chafaï, Djalil 15 Guillin, Arnaud 14 Cattiaux, Patrick 13 Bordenave, Charles 13 Gentil, Ivan 12 Roberto, Cyril 11 Caputo, Pietro 11 Wang, Feng-Yu 10 Baudoin, Fabrice 10 Gozlan, Nathael 10 Tikhomirov, Konstantin E. 10 Zegarlinski, Boguslaw 9 Bonnefont, Michel 8 Malrieu, Florent 7 Bolley, François 7 Dolbeault, Jean 7 Lelièvre, Tony 7 Menz, Georg 7 Miclo, Laurent 7 O’Rourke, Sean D. 6 Bakry, Dominique 6 Cook, Nicholas A. 6 Litvak, Aleksandr Evgen’evich 6 Qian, Bin 6 Serfaty, Sylvia 6 Tomczak-Jaegermann, Nicole 6 Wu, Liming 5 Adamczak, Radosław 5 Barthe, Franck 5 Basak, Anirban 5 Cañizo, José Alfredo 5 Carrillo de la Plata, José Antonio 5 Erdős, László 5 Jourdain, Benjamin 5 Lytova, Anna 5 Renfrew, David 5 Samson, Paul-Marie 5 Youssef, Pierre 4 Akemann, Gernot 4 Ambrosio, Luigi 4 Berman, Robert J. 4 Capitaine, Mireille 4 Götze, Friedrich W. 4 Guionnet, Alice 4 Jiang, Tiefeng 4 Johnson, Oliver Thomas 4 Joulin, Aldéric 4 Jung, Paul H. 4 Kontis, Vasilis 4 Lecué, Guillaume 4 Li, Hongquan 4 Papageorgiou, Ioannis 4 Tikhomirov, Alexander Nikolaevich 4 Vu, Van H. 3 Alrachid, Houssam 3 Benaych-Georges, Florent 3 Cancrini, Nicoletta 3 Cloez, Bertrand 3 Concordet, Didier 3 Cunden, Fabio Deelan 3 De Castro, Yohann 3 Duncan, Andrew B. 3 Eldredge, Nathaniel Gilbert Bartsch 3 Esteban, Maria J. 3 Fontbona, Joaquin 3 García-Zelada, David 3 Gigli, Nicola 3 Gordina, Maria 3 Inglis, James D. 3 Kösters, Holger 3 Krüger, Torben 3 Lambert, Gaultier 3 Loss, Michael 3 Mariano, Phanuel A. 3 Martinelli, Fabio 3 Pavliotis, Grigorios A. 3 Posta, Gustavo 3 Qi, Yongcheng 3 Rougerie, Nicolas 3 Rudelson, Mark 3 Saumard, Adrien 3 Savaré, Giuseppe 3 Schlichting, André 3 Stoltz, Gabriel 3 Vazquez, Juan Luis 3 Vivo, Pierpaolo 3 Wood, Philip Matchett 3 Xu, Lihu 3 Zeitouni, Ofer 3 Zitt, Pierre-André 2 Alquier, Pierre 2 Alt, Johannes 2 Bauerschmidt, Roland 2 Bloom, Thomas 2 Bouguet, Florian 2 Byun, Sung-Soo 2 Carles, Rémi 2 Comte, Fabienne 2 Coston, Natalie 2 Dai Pra, Paolo ...and 500 more Authors all top 5 Cited in 127 Serials 42 Journal of Functional Analysis 26 The Annals of Probability 26 Probability Theory and Related Fields 22 Journal of Statistical Physics 21 Stochastic Processes and their Applications 21 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Communications in Mathematical Physics 15 Potential Analysis 14 Journal of Theoretical Probability 14 Bernoulli 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 8 The Annals of Applied Probability 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Random Matrices: Theory and Applications 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Physics 6 Transactions of the American Mathematical Society 6 Revista Matemática Iberoamericana 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Electronic Journal of Probability 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 The Annals of Statistics 4 Journal of Differential Equations 4 SIAM Journal on Mathematical Analysis 4 Computational Statistics and Data Analysis 4 Electronic Communications in Probability 3 Advances in Applied Probability 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Statistics & Probability Letters 3 Constructive Approximation 3 The Journal of Geometric Analysis 3 Geometric and Functional Analysis. GAFA 3 Calculus of Variations and Partial Differential Equations 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Annales Henri Poincaré 3 Journal of Statistical Mechanics: Theory and Experiment 3 Science China. Mathematics 2 Physics Reports 2 Inventiones Mathematicae 2 Journal of Multivariate Analysis 2 Mathematische Zeitschrift 2 Chinese Annals of Mathematics. Series B 2 Journal of Complexity 2 Random Structures & Algorithms 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Communications in Contemporary Mathematics 2 Stochastic Models 2 Journal of Physics A: Mathematical and Theoretical 2 Nonlinear Analysis. Hybrid Systems 2 Electronic Journal of Statistics 2 Kinetic and Related Models 2 Journal de l’École Polytechnique – Mathématiques 2 SMAI Journal of Computational Mathematics 1 Discrete Applied Mathematics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Annales Polonici Mathematici 1 Automatica 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Advances in Applied Mathematics 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Statistics 1 Queueing Systems 1 Journal of Scientific Computing 1 Computational Statistics 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Applied and Computational Harmonic Analysis 1 The Electronic Journal of Combinatorics 1 Complexity 1 Journal of Nonparametric Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Positivity 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation ...and 27 more Serials all top 5 Cited in 47 Fields 330 Probability theory and stochastic processes (60-XX) 97 Linear and multilinear algebra; matrix theory (15-XX) 80 Statistical mechanics, structure of matter (82-XX) 76 Partial differential equations (35-XX) 65 Operator theory (47-XX) 50 Real functions (26-XX) 46 Statistics (62-XX) 43 Global analysis, analysis on manifolds (58-XX) 39 Functional analysis (46-XX) 28 Combinatorics (05-XX) 24 Differential geometry (53-XX) 22 Numerical analysis (65-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Difference and functional equations (39-XX) 12 Potential theory (31-XX) 11 Quantum theory (81-XX) 10 Topological groups, Lie groups (22-XX) 10 Measure and integration (28-XX) 9 Biology and other natural sciences (92-XX) 9 Information and communication theory, circuits (94-XX) 8 Abstract harmonic analysis (43-XX) 8 Convex and discrete geometry (52-XX) 8 Operations research, mathematical programming (90-XX) 8 Systems theory; control (93-XX) 7 Functions of a complex variable (30-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Special functions (33-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Fluid mechanics (76-XX) 4 Number theory (11-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year