Edit Profile (opens in new tab) Ledoux, Michel Co-Author Distance Author ID: ledoux.michel Published as: Ledoux, Michel; Ledoux, M. Homepage: http://perso.math.univ-toulouse.fr/ledoux/ External Links: MGP · Wikidata · GND · IdRef Videos: carmin.tv Documents Indexed: 136 Publications since 1981, including 8 Books and 1 Additional arXiv Preprint 10 Contributions as Editor · 1 Further Contribution Co-Authors: 51 Co-Authors with 78 Joint Publications 1,546 Co-Co-Authors all top 5 Co-Authors 64 single-authored 12 Bobkov, Sergey Germanovich 10 Bakry, Dominique 8 Talagrand, Michel 7 Émery, Michel 7 Yor, Marc 6 Azéma, Jacques 5 Gentil, Ivan 5 Kuelbs, James D. 3 Ben Arous, Gérard 3 Cordero-Erausquin, Dario 3 Del Moral, Pierre 2 Ané, Cécile 2 Barbe, Philippe 2 Cairoli, Renzo 2 Chafaï, Djalil 2 Coulhon, Thierry 2 de Acosta, Alejandro D. 2 Nourdin, Ivan 2 Peccati, Giovanni 2 Popescu, Ionel 2 Qian, Zhongmin M. 2 Saloff-Coste, Laurent 1 Barthe, Franck 1 Benaïm, Michel 1 Blachère, Sébastien 1 Boche, Holger 1 Capitaine, Mireille 1 Chatterjee, Sourav 1 Cohen, Serge 1 Concordet, Didier 1 Djadli, Zindine 1 Eldan, Ronen 1 Farrell, Brendan 1 Fathi, Max 1 Fougères, Pierre 1 Gigli, Nicola 1 Gradinaru, Mihai 1 Hebey, Emmanuel 1 Houdré, Christian 1 Hsu, Elton P. 1 Indrei, Emanuel 1 Lacaux, Céline 1 Lambert, Gaultier 1 Lyons, Terence John 1 Malrieu, Florent 1 Marcus, Michael B. 1 Maurey, Bernard 1 Miclo, Laurent 1 Milman, Emanuel 1 Milman, Mario Marcos 1 Oleszkiewicz, Krzysztof 1 Paulauskas, Vygantas Ionovič 1 Raimond, Olivier 1 Rider, Brian C. 1 Roberto, Cyril 1 Rudelson, Mark 1 Schechtman, Gideon 1 Scheffer, Grégory 1 Wang, Feng-Yu 1 Webb, Christian 1 Wiese, Moritz 1 Zhang, Tusheng S. 1 Zhu, Jie-Xiang 1 Zinn, Joel all top 5 Serials 8 The Annals of Probability 7 Probability Theory and Related Fields 7 Lecture Notes in Mathematics 6 Comptes Rendus de l’Académie des Sciences. Série I 4 Journal of Theoretical Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Functional Analysis 3 Geometric and Functional Analysis. GAFA 3 Electronic Journal of Probability 3 The Journal of Fourier Analysis and Applications 2 Israel Journal of Mathematics 2 Duke Mathematical Journal 2 Gazette des Mathématiciens 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Stochastic Processes and their Applications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Electronic Communications in Probability 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 IEEE Transactions on Information Theory 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Mathematics of Kyoto University 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Probability and Mathematical Statistics 1 Revista Matemática Iberoamericana 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Communications in Analysis and Geometry 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 1 Markov Processes and Related Fields 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Contemporary Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Grundlehren der Mathematischen Wissenschaften 1 Mathematical Surveys and Monographs 1 Panoramas et Synthèses 1 Communications on Stochastic Analysis 1 Science China. Mathematics 1 Analysis and Geometry in Metric Spaces 1 Classics in Mathematics 1 Enseignement SUP-Maths all top 5 Fields 127 Probability theory and stochastic processes (60-XX) 31 Functional analysis (46-XX) 23 Global analysis, analysis on manifolds (58-XX) 12 Measure and integration (28-XX) 12 Differential geometry (53-XX) 11 General and overarching topics; collections (00-XX) 10 Real functions (26-XX) 10 Operator theory (47-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Partial differential equations (35-XX) 6 Convex and discrete geometry (52-XX) 5 Special functions (33-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mathematics education (97-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 5,266 times in 3,906 Documents Cited by ▼ Year ▼ Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004 Ledoux, Michel; Talagrand, Michel 962 1991 The concentration of measure phenomenon. Zbl 0995.60002 Ledoux, Michel 715 2001 Analysis and geometry of Markov diffusion operators. Zbl 1376.60002 Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 586 2014 On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. (Sur les inégalités de Sobolev logarithmiques.) Zbl 0982.46026 Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory 214 2000 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020 Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel 171 2001 Concentration of measure and logarithmic Sobolev inequalities. Zbl 0957.60016 Ledoux, Michel 167 1999 Isoperimetry and Gaussian analysis. Zbl 0874.60005 Ledoux, Michel 145 1996 Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003 Ledoux, Michel; Talagrand, Michel 140 2011 Sobolev inequalities in disguise. Zbl 0857.26006 Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 111 1995 The geometry of Markov diffusion generators. Zbl 0980.60097 Ledoux, Michel 110 2000 Paneitz-type operators and applications. Zbl 0998.58009 Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 109 2000 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008 Ledoux, M.; Talagrand, M. 107 1988 Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011 Bakry, D.; Ledoux, M. 105 1996 On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013 Ledoux, Michel 98 1996 From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019 Bobkov, S. G.; Ledoux, M. 97 2000 One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007 Bobkov, Sergey; Ledoux, Michel 88 2019 A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024 Bakry, Dominique; Ledoux, Michel 84 2006 Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071 Bakry, D.; Ledoux, M. 64 1996 Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014 Bobkov, S.; Ledoux, M. 63 1997 Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028 Ledoux, Michel 60 2004 Small deviations for beta ensembles. Zbl 1228.60015 Ledoux, Michel; Rider, Brian 54 2010 Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510 Ledoux, M.; Qian, Z.; Zhang, T. 52 2002 Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045 Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel 52 1997 Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013 Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 52 2015 Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096 Ledoux, M. 50 2001 A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093 Ledoux, M. 50 1994 Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041 Bobkov, Sergey G.; Ledoux, Michel 48 2009 Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. (On moderate deviations of sums of independent and identically distributed vector valued random variables). Zbl 0751.60009 Ledoux, Michel 42 1992 On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002 Bobkov, S. G.; Ledoux, M. 38 1998 On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025 Ledoux, M. 38 1999 Self-interacting diffusions. Zbl 1042.60060 Benaïm, Michel; Ledoux, Michel; Raimond, Olivier 33 2002 Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024 Ledoux, Michel 32 1994 Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094 Fathi, Max; Indrei, Emanuel; Ledoux, Michel 32 2016 On improved Sobolev embedding theorems. Zbl 1044.22006 Ledoux, M. 31 2003 A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003 Ledoux, M. 31 2009 Deviation inequalities on largest eigenvalues. Zbl 1130.15012 Ledoux, M. 30 2007 Chaos of a Markov operator and the fourth moment condition. Zbl 1266.60042 Ledoux, M. 27 2012 Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071 Ledoux, M.; Lyons, T.; Qian, Z. 26 2002 Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018 Cordero-Erausquin, Dario; Ledoux, Michel 24 2012 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037 Ledoux, M. 23 2004 On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079 Ledoux, M. 23 1992 Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058 Lambert, Gaultier; Ledoux, Michel; Webb, Christian 23 2019 On contraction properties of Markov kernels. Zbl 1030.60060 Del Moral, P.; Ledoux, M.; Miclo, L. 22 2003 From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036 Bobkov, S. G.; Ledoux, M. 22 2008 The Lie algebra of iterated gradients of a Markov generator – variance and entropy expansions. (L’algèbre de Lie des gradients itérés d’un générateur markovien – développements de moyennes et entropies.) Zbl 0842.60075 Ledoux, M. 20 1995 Hölder norms and the support theorem for diffusions. Zbl 0814.60075 Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 20 1994 On Harnack inequalities and optimal transportation. Zbl 1331.35151 Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 19 2015 Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074 Ledoux, M. 18 1995 A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013 Ledoux, Michel 17 1998 Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025 Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard 17 2011 On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063 Ané, Cécile; Ledoux, Michel 16 2000 From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034 Ledoux, Michel 16 2011 Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009 Ledoux, Michel; Popescu, Ionel 14 2009 Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052 Bakry, D.; Concordet, D.; Ledoux, M. 14 1997 Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. (Isopérimétrie, décroissance du noyau de la chaleur et transformations de Riesz: Un contre-exemple.) Zbl 0826.53035 Coulhon, Thierry; Ledoux, Michel 13 1994 Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006 Ledoux, Michel 13 1988 A simple Fourier analytic proof of the AKT optimal matching theorem. Zbl 1482.60011 Bobkov, Sergey G.; Ledoux, Michel 13 2021 A note on large deviations for Wiener chaos. Zbl 0701.60020 Ledoux, Michel 12 1990 Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048 Ledoux, M.; Talagrand, M. 12 1989 On optimal matching of Gaussian samples. Zbl 1478.60080 Ledoux, M. 12 2019 Perturbations of functional inequalities using growth conditions. Zbl 1120.60070 Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu 11 2007 Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005 Ledoux, M.; Talagrand, M. 11 1990 From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023 Gigli, Nicola; Ledoux, Michel 11 2013 Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036 Ledoux, Michel 11 2014 A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012 Ledoux, Michel 10 2003 A general framework for simulation of fractional fields. Zbl 1149.60032 Cohen, Serge; Lacaux, Céline; Ledoux, Michel 10 2008 A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064 Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 10 2017 Extreme values and the law of the iterated logarithm. Zbl 0586.60009 Kuelbs, J.; Ledoux, M. 9 1987 Conditions d’intégrabilité pour les multiplicateurs dans le TLC banachique. (Integrability conditions for multiplicators in the central limit theorem in Banach spaces). Zbl 0593.60009 Ledoux, Michel; Talagrand, Michel 9 1986 Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019 Ben Arous, G.; Ledoux, M. 9 1994 A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039 Ledoux, M. 9 1992 Un critère sur les petites boules dans le théorème limite central. (A criterion on small balls in the central limit theorem). Zbl 0617.60008 Ledoux, M.; Talagrand, M. 8 1988 On measure concentration of vector-valued maps. Zbl 1125.60016 Ledoux, Michel; Oleszkiewicz, Krzysztof 8 2007 Sobolev-Kantorovich inequalities. Zbl 1326.35171 Ledoux, Michel 8 2015 Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025 Ledoux, Michel 8 2008 A (one-dimensional) free Brunn-Minkowski inequality. Zbl 1064.60032 Ledoux, Michel 7 2005 A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037 Ledoux, M. 7 1990 Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014 Del Moral, P.; Ledoux, M. 7 2000 A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049 Ledoux, Michel 7 2018 Schilder’s large deviation principle without topology. Zbl 0801.60019 Ben Arous, G.; Ledoux, M. 6 1993 On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011 Bobkov, Sergey G.; Ledoux, Michel 6 2009 On optimal matching of Gaussian samples. III. Zbl 1482.60013 Ledoux, Michel; Zhu, Jie-Xiang 6 2021 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case. Zbl 1110.60091 Ledoux, M. 5 2005 The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007 Cordero-Erausquin, Dario; Ledoux, Michel 5 2010 Heat flows, geometric and functional inequalities. Zbl 1373.35153 Ledoux, Michel 5 2014 Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046 Bobkov, Sergey G.; Ledoux, Michel 5 2020 Extreme values and a Gaussian central limit theorem. Zbl 0586.60017 Kuelbs, J.; Ledoux, M. 4 1986 Isoperimetric inequalities in analysis and probability. (Inégalités isopérimétriques en analyse et probabilités.) Zbl 0809.60021 Ledoux, Michel 4 1993 Inégalités de Burkholder pour martingales indexees par NxN. Zbl 0463.60042 Ledoux, Michel 4 1981 Loi du logarithme iteré dans C(S) et fonction caractéristique empirique. Zbl 0493.60010 Ledoux, Michel 4 1982 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500 Bobkov, S. G.; Gentil, I.; Ledoux, M. 3 2002 On convex limit sets and Brownian motion. Zbl 0916.60071 Kuelbs, J.; Ledoux, M. 3 1998 Sur les théoremes limites dans certains espaces de Banach lisses. Zbl 0516.60004 Ledoux, Michel 3 1983 An inequality for the law of the iterated logarithm. Zbl 0516.60005 de Acosta, Alejandro; Kuelbs, J.; Ledoux, M. 3 1983 Markov semigroups at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1581 (1994), 1648 (1996) and 1665 (1997). Zbl 1234.60007 Bakry, Dominique; Ledoux, Michel; Saloff-Coste, Laurent 3 2012 The one-dimensional free Poincaré inequality. Zbl 1281.46056 Ledoux, Michel; Popescu, Ionel 3 2013 Sur une inégalité de H. P. Rosenthal et le théorème limite central dans les espaces de Banach. Zbl 0576.60009 Ledoux, Michel 2 1985 Classe L log L et martingales fortes à paramètre bidimensionnel. Zbl 0531.60052 Ledoux, M. 2 1981 Une topologie fine associée au produit de deux processus markoviens. Zbl 0557.60057 Cairoli, R.; Ledoux, M. 2 1984 La loi du logarithme itéré dans les espaces de Banach uniformément convexes (The law of the iterated logarithm in uniformly convex Banach spaces). Zbl 0584.60011 Ledoux, Michel 2 1985 Optimal matching of random samples and rates of convergence of empirical measures. Zbl 1536.60015 Ledoux, Michel 1 2023 A simple Fourier analytic proof of the AKT optimal matching theorem. Zbl 1482.60011 Bobkov, Sergey G.; Ledoux, Michel 13 2021 On optimal matching of Gaussian samples. III. Zbl 1482.60013 Ledoux, Michel; Zhu, Jie-Xiang 6 2021 Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046 Bobkov, Sergey G.; Ledoux, Michel 5 2020 A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space. Zbl 1453.60084 Eldan, Ronen; Ledoux, Michel 1 2020 One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007 Bobkov, Sergey; Ledoux, Michel 88 2019 Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058 Lambert, Gaultier; Ledoux, Michel; Webb, Christian 23 2019 On optimal matching of Gaussian samples. Zbl 1478.60080 Ledoux, M. 12 2019 A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049 Ledoux, Michel 7 2018 A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064 Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 10 2017 Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094 Fathi, Max; Indrei, Emanuel; Ledoux, Michel 32 2016 Heat flow derivatives and minimum mean-square error in Gaussian noise. Zbl 1359.94336 Ledoux, Michel 1 2016 Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013 Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 52 2015 On Harnack inequalities and optimal transportation. Zbl 1331.35151 Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 19 2015 Sobolev-Kantorovich inequalities. Zbl 1326.35171 Ledoux, Michel 8 2015 Analysis and geometry of Markov diffusion operators. Zbl 1376.60002 Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 586 2014 Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036 Ledoux, Michel 11 2014 Heat flows, geometric and functional inequalities. Zbl 1373.35153 Ledoux, Michel 5 2014 From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023 Gigli, Nicola; Ledoux, Michel 11 2013 The one-dimensional free Poincaré inequality. Zbl 1281.46056 Ledoux, Michel; Popescu, Ionel 3 2013 Chaos of a Markov operator and the fourth moment condition. Zbl 1266.60042 Ledoux, M. 27 2012 Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018 Cordero-Erausquin, Dario; Ledoux, Michel 24 2012 Markov semigroups at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1581 (1994), 1648 (1996) and 1665 (1997). Zbl 1234.60007 Bakry, Dominique; Ledoux, Michel; Saloff-Coste, Laurent 3 2012 Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003 Ledoux, Michel; Talagrand, Michel 140 2011 Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025 Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard 17 2011 From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034 Ledoux, Michel 16 2011 Concentration, functional inequalities and isoperimetry. Mainly the proceedings of the international workshop on concentration, functional inequalities and isoperimetry, Florida Atlantic University, Boca Raton, FL, USA, October 29–November 1, 2009. Zbl 1217.53002 1 2011 Small deviations for beta ensembles. Zbl 1228.60015 Ledoux, Michel; Rider, Brian 54 2010 The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007 Cordero-Erausquin, Dario; Ledoux, Michel 5 2010 Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041 Bobkov, Sergey G.; Ledoux, Michel 48 2009 A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003 Ledoux, M. 31 2009 Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009 Ledoux, Michel; Popescu, Ionel 14 2009 On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011 Bobkov, Sergey G.; Ledoux, Michel 6 2009 An observation about submatrices. Zbl 1189.60041 Chatterjee, Sourav; Ledoux, Michel 2 2009 From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036 Bobkov, S. G.; Ledoux, M. 22 2008 A general framework for simulation of fractional fields. Zbl 1149.60032 Cohen, Serge; Lacaux, Céline; Ledoux, Michel 10 2008 Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025 Ledoux, Michel 8 2008 Deviation inequalities on largest eigenvalues. Zbl 1130.15012 Ledoux, M. 30 2007 Perturbations of functional inequalities using growth conditions. Zbl 1120.60070 Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu 11 2007 On measure concentration of vector-valued maps. Zbl 1125.60016 Ledoux, Michel; Oleszkiewicz, Krzysztof 8 2007 Probability. Nouvelle ed. (Probabilité.) Zbl 1251.60002 Barbe, Philippe; Ledoux, Michel 2 2007 A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024 Bakry, Dominique; Ledoux, Michel 84 2006 A (one-dimensional) free Brunn-Minkowski inequality. Zbl 1064.60032 Ledoux, Michel 7 2005 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case. Zbl 1110.60091 Ledoux, M. 5 2005 Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028 Ledoux, Michel 60 2004 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037 Ledoux, M. 23 2004 On improved Sobolev embedding theorems. Zbl 1044.22006 Ledoux, M. 31 2003 On contraction properties of Markov kernels. Zbl 1030.60060 Del Moral, P.; Ledoux, M.; Miclo, L. 22 2003 A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012 Ledoux, Michel 10 2003 Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510 Ledoux, M.; Qian, Z.; Zhang, T. 52 2002 Self-interacting diffusions. Zbl 1042.60060 Benaïm, Michel; Ledoux, Michel; Raimond, Olivier 33 2002 Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071 Ledoux, M.; Lyons, T.; Qian, Z. 26 2002 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500 Bobkov, S. G.; Gentil, I.; Ledoux, M. 3 2002 The concentration of measure phenomenon. Zbl 0995.60002 Ledoux, Michel 715 2001 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020 Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel 171 2001 Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096 Ledoux, M. 50 2001 On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. (Sur les inégalités de Sobolev logarithmiques.) Zbl 0982.46026 Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory 214 2000 The geometry of Markov diffusion generators. Zbl 0980.60097 Ledoux, Michel 110 2000 Paneitz-type operators and applications. Zbl 0998.58009 Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 109 2000 From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019 Bobkov, S. G.; Ledoux, M. 97 2000 On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063 Ané, Cécile; Ledoux, Michel 16 2000 Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014 Del Moral, P.; Ledoux, M. 7 2000 On the distribution of overlaps in the Sherrington-Kirkpatrick spin glass model. Zbl 0959.82013 Ledoux, M. 1 2000 Concentration of measure and logarithmic Sobolev inequalities. Zbl 0957.60016 Ledoux, Michel 167 1999 On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025 Ledoux, M. 38 1999 33rd Seminar on probability. (Séminaire de probabilités XXXIII.) Zbl 0924.00016 2 1999 On Gaussian-like large deviations by functional methods. (Méthodes fonctionnelles pour des grandes déviations quasi-gaussiennes.) Zbl 0939.60019 Chafaï, Djalil; Ledoux, Michel 1 1999 On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002 Bobkov, S. G.; Ledoux, M. 38 1998 A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013 Ledoux, Michel 17 1998 On convex limit sets and Brownian motion. Zbl 0916.60071 Kuelbs, J.; Ledoux, M. 3 1998 Seminar on probability XXXII. (Séminaire de probabilités XXXII.) Zbl 0893.00035 1 1998 Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014 Bobkov, S.; Ledoux, M. 63 1997 Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045 Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel 52 1997 Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052 Bakry, D.; Concordet, D.; Ledoux, M. 14 1997 Isoperimetry and Gaussian analysis. Zbl 0874.60005 Ledoux, Michel 145 1996 Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011 Bakry, D.; Ledoux, M. 105 1996 On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013 Ledoux, Michel 98 1996 Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071 Bakry, D.; Ledoux, M. 64 1996 A rate of convergence in the Poissonian representation of stable distributions. Zbl 0897.60025 Ledoux, M.; Paulauskas, V. 2 1996 Sobolev inequalities in disguise. Zbl 0857.26006 Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 111 1995 The Lie algebra of iterated gradients of a Markov generator – variance and entropy expansions. (L’algèbre de Lie des gradients itérés d’un générateur markovien – développements de moyennes et entropies.) Zbl 0842.60075 Ledoux, M. 20 1995 Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074 Ledoux, M. 18 1995 A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093 Ledoux, M. 50 1994 Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024 Ledoux, Michel 32 1994 Hölder norms and the support theorem for diffusions. Zbl 0814.60075 Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 20 1994 Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. (Isopérimétrie, décroissance du noyau de la chaleur et transformations de Riesz: Un contre-exemple.) Zbl 0826.53035 Coulhon, Thierry; Ledoux, Michel 13 1994 Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019 Ben Arous, G.; Ledoux, M. 9 1994 Schilder’s large deviation principle without topology. Zbl 0801.60019 Ben Arous, G.; Ledoux, M. 6 1993 Isoperimetric inequalities in analysis and probability. (Inégalités isopérimétriques en analyse et probabilités.) Zbl 0809.60021 Ledoux, Michel 4 1993 The Lie algebra of iterated gradients of a Markov generator. (L’algèbre de Lie des gradients itérés d’un générateur markovien.) Zbl 0791.60065 Ledoux, Michel 1 1993 Sur les déviations modérées des sommes de variables aléatoires vectorielles indépendantes de même loi. (On moderate deviations of sums of independent and identically distributed vector valued random variables). Zbl 0751.60009 Ledoux, Michel 42 1992 On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079 Ledoux, M. 23 1992 A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039 Ledoux, M. 9 1992 Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004 Ledoux, Michel; Talagrand, Michel 962 1991 A note on large deviations for Wiener chaos. Zbl 0701.60020 Ledoux, Michel 12 1990 Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005 Ledoux, M.; Talagrand, M. 11 1990 A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037 Ledoux, M. 7 1990 Extreme values and LIL behavior. Zbl 0695.60011 Kuelbs, J.; Ledoux, M. 1 1990 Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048 Ledoux, M.; Talagrand, M. 12 1989 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008 Ledoux, M.; Talagrand, M. 107 1988 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,973 Authors 66 Wang, Feng-Yu 42 Bobkov, Sergey Germanovich 42 Mendelson, Shahar 40 Ledoux, Michel 32 Guillin, Arnaud 27 Milman, Emanuel 26 Dolbeault, Jean 25 Baudoin, Fabrice 25 Gentil, Ivan 22 Wu, Liming 21 Götze, Friedrich 21 Gozlan, Nathael 21 Li, Deli 20 Adamczak, Radosław 19 Bogachev, Vladimir Igorevich 19 Giné-Masdéu, Evarist 19 Monmarché, Pierre 19 Vershynin, Roman 18 Ambrosio, Luigi 18 Fathi, Max 18 Roberto, Cyril 18 Saloff-Coste, Laurent 18 Talagrand, Michel 17 Latała, Rafał 17 Rosalsky, Andrew 16 Bakry, Dominique 16 Barthe, Franck 16 Chafaï, Djalil 16 Chen, Pingyan 16 Eldan, Ronen 16 Kolesnikov, Alexander V. 16 Lecué, Guillaume 16 Lugosi, Gábor 16 Tropp, Joel A. 15 Cattiaux, Patrick 15 Gao, Fuqing 15 Kolchinskiĭ, Vladimir I’ich 15 Rauhut, Holger 14 Otto, Felix 14 Van de Geer, Sara Anna 13 Bonnefont, Michel 13 Caputo, Pietro 13 Friz, Peter 13 Kristály, Alexandru 13 Paouris, Grigoris 13 Račkauskas, Alfredas Yurgevich 12 Chtioui, Hichem 12 Ding, Jian 12 Houdré, Christian 12 Junge, Marius 12 Klartag, Bo’az 12 Miclo, Laurent 12 Mossel, Elchanan 12 Röckner, Michael 12 Rudelson, Mark 12 Sturm, Karl-Theodor 12 Tetali, Prasad 12 Wainwright, Martin J. 11 Aida, Shigeki 11 Arcones, Miguel A. 11 Bolley, François 11 El Karoui, Noureddine 11 Kuelbs, James D. 11 Li, Xiang-Dong 11 Nickl, Richard 11 Ohta, Shin-ichi 11 Peccati, Giovanni 11 Samson, Paul-Marie 11 Valettas, Petros 10 Basu, Riddhipratim 10 Del Moral, Pierre 10 Esteban, Maria J. 10 Kuwada, Kazumasa 10 Li, Wenbo V. 10 Patie, Pierre 10 Saumard, Adrien 10 Shao, Jinghai 10 Shao, Qi-Man 10 Tikhomirov, Konstantin E. 10 Trevisan, Dario 10 Villani, Cédric 10 Volodin, Andrei I. 10 Zegarlinski, Boguslaw 10 Zhang, Tusheng S. 10 Zinn, Joel 9 Bednorz, Witold Marek 9 Conforti, Giovanni 9 Cordero-Erausquin, Dario 9 Coulhon, Thierry 9 Forrester, Peter J. 9 Funano, Kei 9 Guédon, Olivier 9 Heinrich, Stefan 9 Inahama, Yuzuru 9 Ivanisvili, Paata 9 Lehec, Joseph 9 Ma, Yutao 9 Mondino, Andrea 9 Muratori, Matteo 9 Naor, Assaf ...and 3,873 more Authors all top 5 Cited in 477 Serials 191 Journal of Functional Analysis 154 Probability Theory and Related Fields 149 The Annals of Probability 133 Stochastic Processes and their Applications 95 The Annals of Statistics 93 Statistics & Probability Letters 88 Bernoulli 86 Journal of Theoretical Probability 79 Electronic Journal of Probability 71 The Annals of Applied Probability 69 Journal of Mathematical Analysis and Applications 69 Annales de l’Institut Henri Poincaré. 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Mathematical Models & Methods in Applied Sciences 7 Linear Algebra and its Applications 7 Annales Mathématiques Blaise Pascal 7 Journal of Nonparametric Statistics ...and 377 more Serials all top 5 Cited in 59 Fields 2,284 Probability theory and stochastic processes (60-XX) 645 Statistics (62-XX) 584 Partial differential equations (35-XX) 445 Functional analysis (46-XX) 411 Global analysis, analysis on manifolds (58-XX) 357 Differential geometry (53-XX) 286 Operator theory (47-XX) 256 Statistical mechanics, structure of matter (82-XX) 251 Real functions (26-XX) 212 Numerical analysis (65-XX) 185 Computer science (68-XX) 178 Linear and multilinear algebra; matrix theory (15-XX) 176 Calculus of variations and optimal control; optimization (49-XX) 170 Measure and integration (28-XX) 150 Information and communication theory, circuits (94-XX) 148 Convex and discrete geometry (52-XX) 115 Dynamical systems and ergodic theory (37-XX) 109 Combinatorics (05-XX) 105 Harmonic analysis on Euclidean spaces (42-XX) 105 Operations research, mathematical programming (90-XX) 88 Quantum theory (81-XX) 80 Difference and functional equations (39-XX) 56 Abstract harmonic analysis (43-XX) 51 Approximations and expansions (41-XX) 50 Biology and other natural sciences (92-XX) 47 Potential theory (31-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Ordinary differential equations (34-XX) 40 Special functions (33-XX) 39 Topological groups, Lie groups (22-XX) 37 Systems theory; control (93-XX) 33 Functions of a complex variable (30-XX) 25 Fluid mechanics (76-XX) 19 General topology (54-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Integral equations (45-XX) 15 Group theory and generalizations (20-XX) 14 Number theory (11-XX) 13 Geometry (51-XX) 11 Integral transforms, operational calculus (44-XX) 11 Algebraic topology (55-XX) 11 Manifolds and cell complexes (57-XX) 11 Mechanics of particles and systems (70-XX) 11 Relativity and gravitational theory (83-XX) 9 Algebraic geometry (14-XX) 6 Mathematical logic and foundations (03-XX) 6 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Associative rings and algebras (16-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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