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 Documents Indexed: 134 Publications since 1981, including 8 Books 10 Contributions as Editor · 1 Further Contribution Co-Authors: 51 Co-Authors with 77 Joint Publications 1,382 Co-Co-Authors all top 5 Co-Authors 63 single-authored 11 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 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 The Journal of Fourier Analysis and Applications 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 all top 5 Fields 125 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 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-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 119 Publications have been cited 4,551 times in 3,369 Documents Cited by ▼ Year ▼ Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004Ledoux, Michel; Talagrand, Michel 837 1991 The concentration of measure phenomenon. Zbl 0995.60002Ledoux, Michel 624 2001 Analysis and geometry of Markov diffusion operators. Zbl 1376.60002Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 440 2014 On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. (Sur les inégalités de Sobolev logarithmiques.) Zbl 0982.46026Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory 165 2000 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel 162 2001 Concentration of measure and logarithmic Sobolev inequalities. Zbl 0957.60016Ledoux, Michel 145 1999 Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003Ledoux, Michel; Talagrand, Michel 120 2011 Isoperimetry and Gaussian analysis. Zbl 0874.60005Ledoux, Michel 119 1996 Sobolev inequalities in disguise. Zbl 0857.26006Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 108 1995 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008Ledoux, M.; Talagrand, M. 107 1988 The geometry of Markov diffusion generators. Zbl 0980.60097Ledoux, Michel 102 2000 Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011Bakry, D.; Ledoux, M. 95 1996 On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013Ledoux, Michel 94 1996 Paneitz-type operators and applications. Zbl 0998.58009Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 93 2000 From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019Bobkov, S. G.; Ledoux, M. 86 2000 A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024Bakry, Dominique; Ledoux, Michel 71 2006 One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007Bobkov, Sergey; Ledoux, Michel 65 2019 Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014Bobkov, S.; Ledoux, M. 61 1997 Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071Bakry, D.; Ledoux, M. 57 1996 Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028Ledoux, Michel 51 2004 Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel 50 1997 Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510Ledoux, M.; Qian, Z.; Zhang, T. 45 2002 A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093Ledoux, M. 44 1994 Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096Ledoux, M. 44 2001 Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041Bobkov, Sergey G.; Ledoux, Michel 44 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 0751.60009Ledoux, Michel 42 1992 Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 41 2015 Small deviations for beta ensembles. Zbl 1228.60015Ledoux, Michel; Rider, Brian 38 2010 On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002Bobkov, S. G.; Ledoux, M. 35 1998 On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025Ledoux, M. 33 1999 Self-interacting diffusions. Zbl 1042.60060Benaïm, Michel; Ledoux, Michel; Raimond, Olivier 29 2002 On improved Sobolev embedding theorems. Zbl 1044.22006Ledoux, M. 28 2003 Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071Ledoux, M.; Lyons, T.; Qian, Z. 26 2002 Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094Fathi, Max; Indrei, Emanuel; Ledoux, Michel 26 2016 Deviation inequalities on largest eigenvalues. Zbl 1130.15012Ledoux, M. 24 2007 A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003Ledoux, M. 24 2009 Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024Ledoux, Michel 23 1994 On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079Ledoux, M. 22 1992 Chaos of a Markov operator and the fourth moment condition. Zbl 1266.60042Ledoux, M. 22 2012 From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036Bobkov, S. G.; Ledoux, M. 21 2008 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037Ledoux, M. 20 2004 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 0842.60075Ledoux, M. 20 1995 Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074Ledoux, M. 18 1995 Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018Cordero-Erausquin, Dario; Ledoux, Michel 18 2012 On contraction properties of Markov kernels. Zbl 1030.60060Del Moral, P.; Ledoux, M.; Miclo, L. 18 2003 On Harnack inequalities and optimal transportation. Zbl 1331.35151Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 18 2015 Hölder norms and the support theorem for diffusions. Zbl 0814.60075Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 17 1994 On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063Ané, Cécile; Ledoux, Michel 16 2000 A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013Ledoux, Michel 15 1998 Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058Lambert, Gaultier; Ledoux, Michel; Webb, Christian 15 2019 Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009Ledoux, Michel; Popescu, Ionel 14 2009 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 0826.53035Coulhon, Thierry; Ledoux, Michel 13 1994 From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034Ledoux, Michel 13 2011 Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052Bakry, D.; Concordet, D.; Ledoux, M. 13 1997 From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023Gigli, Nicola; Ledoux, Michel 11 2013 Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048Ledoux, M.; Talagrand, M. 11 1989 Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005Ledoux, M.; Talagrand, M. 11 1990 Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard 11 2011 A general framework for simulation of fractional fields. Zbl 1149.60032Cohen, Serge; Lacaux, Céline; Ledoux, Michel 10 2008 Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006Ledoux, Michel 10 1988 Perturbations of functional inequalities using growth conditions. Zbl 1120.60070Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu 10 2007 A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012Ledoux, Michel 9 2003 Extreme values and the law of the iterated logarithm. Zbl 0586.60009Kuelbs, J.; Ledoux, M. 9 1987 Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036Ledoux, Michel 9 2014 Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019Ben Arous, G.; Ledoux, M. 8 1994 A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039Ledoux, M. 8 1992 Conditions d’intégrabilité pour les multiplicateurs dans le TLC banachique. (Integrability conditions for multiplicators in the central limit theorem in Banach spaces). Zbl 0593.60009Ledoux, Michel; Talagrand, Michel 8 1986 Un critère sur les petites boules dans le théorème limite central. (A criterion on small balls in the central limit theorem). Zbl 0617.60008Ledoux, M.; Talagrand, M. 8 1988 On measure concentration of vector-valued maps. Zbl 1125.60016Ledoux, Michel; Oleszkiewicz, Krzysztof 8 2007 Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025Ledoux, Michel 8 2008 A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 8 2017 A (one-dimensional) free Brunn-Minkowski inequality. Zbl 1064.60032Ledoux, Michel 7 2005 A note on large deviations for Wiener chaos. Zbl 0701.60020Ledoux, Michel 7 1990 Schilder’s large deviation principle without topology. Zbl 0801.60019Ben Arous, G.; Ledoux, M. 6 1993 On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011Bobkov, Sergey G.; Ledoux, Michel 6 2009 Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014Del Moral, P.; Ledoux, M. 6 2000 A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037Ledoux, M. 5 1990 Sobolev-Kantorovich inequalities. Zbl 1326.35171Ledoux, Michel 5 2015 On optimal matching of Gaussian samples. Zbl 1478.60080Ledoux, M. 5 2019 Isoperimetric inequalities in analysis and probability. (Inégalités isopérimétriques en analyse et probabilités.) Zbl 0809.60021Ledoux, Michel 4 1993 Loi du logarithme iteré dans C(S) et fonction caractéristique empirique. Zbl 0493.60010Ledoux, Michel 4 1982 Extreme values and a Gaussian central limit theorem. Zbl 0586.60017Kuelbs, J.; Ledoux, M. 4 1986 Heat flows, geometric and functional inequalities. Zbl 1373.35153Ledoux, Michel 4 2014 A simple Fourier analytic proof of the AKT optimal matching theorem. Zbl 1482.60011Bobkov, Sergey G.; Ledoux, Michel 4 2021 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500Bobkov, S. G.; Gentil, I.; Ledoux, M. 3 2002 Inégalités de Burkholder pour martingales indexees par NxN. Zbl 0463.60042Ledoux, Michel 3 1981 Sur les théoremes limites dans certains espaces de Banach lisses. Zbl 0516.60004Ledoux, Michel 3 1983 An inequality for the law of the iterated logarithm. Zbl 0516.60005de Acosta, Alejandro; Kuelbs, J.; Ledoux, M. 3 1983 The one-dimensional free Poincaré inequality. Zbl 1281.46056Ledoux, Michel; Popescu, Ionel 3 2013 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 1234.60007Bakry, Dominique; Ledoux, Michel; Saloff-Coste, Laurent 3 2012 Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046Bobkov, Sergey G.; Ledoux, Michel 3 2020 A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049Ledoux, Michel 3 2018 The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007Cordero-Erausquin, Dario; Ledoux, Michel 3 2010 La loi du logarithme itéré dans les espaces de Banach (The law of the iterated logarithm in Banach spaces). Zbl 0589.60005Ledoux, Michel; Talagrand, Michel 2 1986 The law of the iterated logarithm in uniformly convex Banach spaces. Zbl 0592.60008Ledoux, Michel 2 1986 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case. Zbl 1110.60091Ledoux, M. 2 2005 33rd Seminar on probability. (Séminaire de probabilités XXXIII.) Zbl 0924.00016 2 1999 Transformées de Burkholder et sommabilité de martingales à deux paramètres. Zbl 0493.60054Ledoux, Michel 2 1982 La loi du logarithme itéré dans les espaces de Banach uniformément convexes (The law of the iterated logarithm in uniformly convex Banach spaces). Zbl 0584.60011Ledoux, Michel 2 1985 Classe L log L et martingales fortes à paramètre bidimensionnel. Zbl 0531.60052Ledoux, M. 2 1981 A simple Fourier analytic proof of the AKT optimal matching theorem. Zbl 1482.60011Bobkov, Sergey G.; Ledoux, Michel 4 2021 On optimal matching of Gaussian samples. III. Zbl 1482.60013Ledoux, Michel; Zhu, Jie-Xiang 2 2021 Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046Bobkov, Sergey G.; Ledoux, Michel 3 2020 A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space. Zbl 1453.60084Eldan, Ronen; Ledoux, Michel 1 2020 One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007Bobkov, Sergey; Ledoux, Michel 65 2019 Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058Lambert, Gaultier; Ledoux, Michel; Webb, Christian 15 2019 On optimal matching of Gaussian samples. Zbl 1478.60080Ledoux, M. 5 2019 A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049Ledoux, Michel 3 2018 A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 8 2017 Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094Fathi, Max; Indrei, Emanuel; Ledoux, Michel 26 2016 Heat flow derivatives and minimum mean-square error in Gaussian noise. Zbl 1359.94336Ledoux, Michel 1 2016 Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 41 2015 On Harnack inequalities and optimal transportation. Zbl 1331.35151Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 18 2015 Sobolev-Kantorovich inequalities. Zbl 1326.35171Ledoux, Michel 5 2015 Analysis and geometry of Markov diffusion operators. Zbl 1376.60002Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 440 2014 Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036Ledoux, Michel 9 2014 Heat flows, geometric and functional inequalities. Zbl 1373.35153Ledoux, Michel 4 2014 From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023Gigli, Nicola; Ledoux, Michel 11 2013 The one-dimensional free Poincaré inequality. Zbl 1281.46056Ledoux, Michel; Popescu, Ionel 3 2013 Chaos of a Markov operator and the fourth moment condition. Zbl 1266.60042Ledoux, M. 22 2012 Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018Cordero-Erausquin, Dario; Ledoux, Michel 18 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 1234.60007Bakry, Dominique; Ledoux, Michel; Saloff-Coste, Laurent 3 2012 Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003Ledoux, Michel; Talagrand, Michel 120 2011 From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034Ledoux, Michel 13 2011 Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard 11 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 1228.60015Ledoux, Michel; Rider, Brian 38 2010 The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007Cordero-Erausquin, Dario; Ledoux, Michel 3 2010 Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041Bobkov, Sergey G.; Ledoux, Michel 44 2009 A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003Ledoux, M. 24 2009 Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009Ledoux, Michel; Popescu, Ionel 14 2009 On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011Bobkov, Sergey G.; Ledoux, Michel 6 2009 An observation about submatrices. Zbl 1189.60041Chatterjee, Sourav; Ledoux, Michel 2 2009 From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036Bobkov, S. G.; Ledoux, M. 21 2008 A general framework for simulation of fractional fields. Zbl 1149.60032Cohen, Serge; Lacaux, Céline; Ledoux, Michel 10 2008 Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025Ledoux, Michel 8 2008 Deviation inequalities on largest eigenvalues. Zbl 1130.15012Ledoux, M. 24 2007 Perturbations of functional inequalities using growth conditions. Zbl 1120.60070Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu 10 2007 On measure concentration of vector-valued maps. Zbl 1125.60016Ledoux, Michel; Oleszkiewicz, Krzysztof 8 2007 Probability. Nouvelle ed. (Probabilité.) Zbl 1251.60002Barbe, Philippe; Ledoux, Michel 1 2007 A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024Bakry, Dominique; Ledoux, Michel 71 2006 A (one-dimensional) free Brunn-Minkowski inequality. Zbl 1064.60032Ledoux, Michel 7 2005 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case. Zbl 1110.60091Ledoux, M. 2 2005 Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028Ledoux, Michel 51 2004 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037Ledoux, M. 20 2004 On improved Sobolev embedding theorems. Zbl 1044.22006Ledoux, M. 28 2003 On contraction properties of Markov kernels. Zbl 1030.60060Del Moral, P.; Ledoux, M.; Miclo, L. 18 2003 A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012Ledoux, Michel 9 2003 Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510Ledoux, M.; Qian, Z.; Zhang, T. 45 2002 Self-interacting diffusions. Zbl 1042.60060Benaïm, Michel; Ledoux, Michel; Raimond, Olivier 29 2002 Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071Ledoux, M.; Lyons, T.; Qian, Z. 26 2002 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500Bobkov, S. G.; Gentil, I.; Ledoux, M. 3 2002 The concentration of measure phenomenon. Zbl 0995.60002Ledoux, Michel 624 2001 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel 162 2001 Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096Ledoux, M. 44 2001 On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. (Sur les inégalités de Sobolev logarithmiques.) Zbl 0982.46026Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory 165 2000 The geometry of Markov diffusion generators. Zbl 0980.60097Ledoux, Michel 102 2000 Paneitz-type operators and applications. Zbl 0998.58009Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 93 2000 From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019Bobkov, S. G.; Ledoux, M. 86 2000 On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063Ané, Cécile; Ledoux, Michel 16 2000 Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014Del Moral, P.; Ledoux, M. 6 2000 On the distribution of overlaps in the Sherrington-Kirkpatrick spin glass model. Zbl 0959.82013Ledoux, M. 1 2000 Concentration of measure and logarithmic Sobolev inequalities. Zbl 0957.60016Ledoux, Michel 145 1999 On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025Ledoux, M. 33 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 0939.60019Chafaï, Djalil; Ledoux, Michel 1 1999 On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002Bobkov, S. G.; Ledoux, M. 35 1998 A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013Ledoux, Michel 15 1998 On convex limit sets and Brownian motion. Zbl 0916.60071Kuelbs, J.; Ledoux, M. 1 1998 Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014Bobkov, S.; Ledoux, M. 61 1997 Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel 50 1997 Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052Bakry, D.; Concordet, D.; Ledoux, M. 13 1997 Isoperimetry and Gaussian analysis. Zbl 0874.60005Ledoux, Michel 119 1996 Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011Bakry, D.; Ledoux, M. 95 1996 On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013Ledoux, Michel 94 1996 Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071Bakry, D.; Ledoux, M. 57 1996 A rate of convergence in the Poissonian representation of stable distributions. Zbl 0897.60025Ledoux, M.; Paulauskas, V. 2 1996 Sobolev inequalities in disguise. Zbl 0857.26006Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 108 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 0842.60075Ledoux, M. 20 1995 Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074Ledoux, M. 18 1995 A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093Ledoux, M. 44 1994 Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024Ledoux, Michel 23 1994 Hölder norms and the support theorem for diffusions. Zbl 0814.60075Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 17 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 0826.53035Coulhon, Thierry; Ledoux, Michel 13 1994 Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019Ben Arous, G.; Ledoux, M. 8 1994 Schilder’s large deviation principle without topology. Zbl 0801.60019Ben Arous, G.; Ledoux, M. 6 1993 Isoperimetric inequalities in analysis and probability. (Inégalités isopérimétriques en analyse et probabilités.) Zbl 0809.60021Ledoux, 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 0791.60065Ledoux, 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 0751.60009Ledoux, Michel 42 1992 On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079Ledoux, M. 22 1992 A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039Ledoux, M. 8 1992 Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004Ledoux, Michel; Talagrand, Michel 837 1991 Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005Ledoux, M.; Talagrand, M. 11 1990 A note on large deviations for Wiener chaos. Zbl 0701.60020Ledoux, Michel 7 1990 A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037Ledoux, M. 5 1990 Extreme values and LIL behavior. Zbl 0695.60011Kuelbs, J.; Ledoux, M. 1 1990 Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048Ledoux, M.; Talagrand, M. 11 1989 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008Ledoux, M.; Talagrand, M. 107 1988 Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006Ledoux, Michel 10 1988 Un critère sur les petites boules dans le théorème limite central. (A criterion on small balls in the central limit theorem). Zbl 0617.60008Ledoux, M.; Talagrand, M. 8 1988 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,419 Authors 48 Wang, Feng-Yu 39 Ledoux, Michel 37 Mendelson, Shahar 36 Bobkov, Sergey Germanovich 29 Guillin, Arnaud 27 Milman, Emanuel 22 Dolbeault, Jean 22 Gentil, Ivan 21 Baudoin, Fabrice 21 Wu, Liming 20 Li, Deli 19 Giné-Masdéu, Evarist 19 Götze, Friedrich 19 Gozlan, Nathael 18 Roberto, Cyril 18 Saloff-Coste, Laurent 18 Talagrand, Michel 17 Adamczak, Radosław 17 Ambrosio, Luigi 17 Rosalsky, Andrew 17 Vershynin, Roman 16 Bakry, Dominique 16 Barthe, Franck 16 Latała, Rafał 16 Lecué, Guillaume 16 Tropp, Joel A. 15 Fathi, Max 15 Gao, Fuqing 15 Kolesnikov, Alexander V. 14 Bogachev, Vladimir Igorevich 14 Cattiaux, Patrick 14 Chafaï, Djalil 14 Chen, Pingyan 14 Kolchinskiĭ, Vladimir I’ich 14 Lugosi, Gábor 14 Rauhut, Holger 14 Van de Geer, Sara Anna 13 Eldan, Ronen 13 Paouris, Grigoris 12 Bonnefont, Michel 12 Friz, Peter Karl 12 Junge, Marius 12 Monmarché, Pierre 12 Otto, Felix 11 Arcones, Miguel A. 11 Bolley, François 11 Chtioui, Hichem 11 Ding, Jian 11 Houdré, Christian 11 Kuelbs, James D. 11 Mossel, Elchanan 11 Ohta, Shin-ichi 11 Peccati, Giovanni 11 Račkauskas, Alfredas Yurgevich 11 Rudelson, Mark 11 Samson, Paul-Marie 11 Wainwright, Martin J. 10 Aida, Shigeki 10 Caputo, Pietro 10 El Karoui, Noureddine 10 Esteban, Maria J. 10 Klartag, Bo’az 10 Kuwada, Kazumasa 10 Li, Wenbo V. 10 Li, Xiang-Dong 10 Miclo, Laurent 10 Röckner, Michael 10 Shao, Jinghai 10 Shao, Qi-Man 10 Tetali, Prasad 10 Tikhomirov, Konstantin E. 10 Volodin, Andrei I. 9 Coulhon, Thierry 9 Funano, Kei 9 Guédon, Olivier 9 Heinrich, Stefan 9 Ma, Yutao 9 Mondino, Andrea 9 Muratori, Matteo 9 Naor, Assaf 9 Pallara, Diego 9 Patie, Pierre 9 Saumard, Adrien 9 Sturm, Karl-Theodor 9 Valettas, Petros 9 van Neerven, Jan M. A. M. 9 Villani, Cédric 9 Wang, Jian 9 Wang, Ran 9 Wellner, Jon August 9 Wu, Bo 9 Zeitouni, Ofer 9 Zhang, Tusheng S. 9 Zhang, Zhengliang 9 Zinn, Joel 8 Basu, Riddhipratim 8 Bednorz, Witold Marek 8 Benaïm, Michel 8 Ceccon, Jurandir 8 Dedecker, Jérôme ...and 3,319 more Authors all top 5 Cited in 445 Serials 179 Journal of Functional Analysis 145 The Annals of Probability 142 Probability Theory and Related Fields 119 Stochastic Processes and their Applications 89 The Annals of Statistics 82 Journal of Theoretical Probability 81 Statistics & Probability Letters 75 Bernoulli 65 Journal of Mathematical Analysis and Applications 62 Electronic Journal of Probability 61 The Annals of Applied Probability 59 Communications in Mathematical Physics 57 Potential Analysis 56 Annales de l’Institut Henri Poincaré. 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English Series 6 Constructive Approximation 6 Discrete & Computational Geometry ...and 345 more Serials all top 5 Cited in 59 Fields 2,010 Probability theory and stochastic processes (60-XX) 548 Statistics (62-XX) 487 Partial differential equations (35-XX) 385 Functional analysis (46-XX) 364 Global analysis, analysis on manifolds (58-XX) 311 Differential geometry (53-XX) 257 Operator theory (47-XX) 216 Real functions (26-XX) 212 Statistical mechanics, structure of matter (82-XX) 174 Numerical analysis (65-XX) 153 Linear and multilinear algebra; matrix theory (15-XX) 146 Computer science (68-XX) 141 Measure and integration (28-XX) 125 Information and communication theory, circuits (94-XX) 124 Calculus of variations and optimal control; optimization (49-XX) 117 Convex and discrete geometry (52-XX) 99 Dynamical systems and ergodic theory (37-XX) 92 Combinatorics (05-XX) 91 Harmonic analysis on Euclidean spaces (42-XX) 89 Operations research, mathematical programming (90-XX) 69 Quantum theory (81-XX) 62 Difference and functional equations (39-XX) 44 Abstract harmonic analysis (43-XX) 43 Approximations and expansions (41-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Potential theory (31-XX) 37 Ordinary differential equations (34-XX) 37 Biology and other natural sciences (92-XX) 35 Systems theory; control (93-XX) 34 Topological groups, Lie groups (22-XX) 34 Special functions (33-XX) 26 Functions of a complex variable (30-XX) 21 Fluid mechanics (76-XX) 17 General topology (54-XX) 14 Integral equations (45-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Geometry (51-XX) 11 Mechanics of particles and systems (70-XX) 10 Number theory (11-XX) 10 Group theory and generalizations (20-XX) 10 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Relativity and gravitational theory (83-XX) 7 Algebraic geometry (14-XX) 6 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 6 Integral transforms, operational calculus (44-XX) 5 General and overarching topics; collections (00-XX) 4 Mechanics of deformable solids (74-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Category theory; homological algebra (18-XX) 2 Geophysics (86-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-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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