Edit Profile (opens in new tab) Ledoux, Michel Compute Distance To: Compute 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: 133 Publications since 1981, including 8 Books 10 Contributions as Editor · 1 Further Contribution Co-Authors: 51 Co-Authors with 77 Joint Publications 1,327 Co-Co-Authors all top 5 Co-Authors 62 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 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 116 Publications have been cited 4,192 times in 2,956 Documents Cited by ▼ Year ▼ Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004Ledoux, Michel; Talagrand, Michel 761 1991 The concentration of measure phenomenon. Zbl 0995.60002Ledoux, Michel 530 2001 Analysis and geometry of Markov diffusion operators. Zbl 1376.60002Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 361 2014 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel 150 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 137 2000 Concentration of measure and logarithmic Sobolev inequalities. Zbl 0957.60016Ledoux, Michel 131 1999 Isoperimetry and Gaussian analysis. Zbl 0874.60005Ledoux, Michel 106 1996 Sobolev inequalities in disguise. Zbl 0857.26006Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 101 1995 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008Ledoux, M.; Talagrand, M. 100 1988 Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003Ledoux, Michel; Talagrand, Michel 98 2011 The geometry of Markov diffusion generators. Zbl 0980.60097Ledoux, Michel 96 2000 On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013Ledoux, Michel 90 1996 Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011Bakry, D.; Ledoux, M. 89 1996 Paneitz-type operators and applications. Zbl 0998.58009Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 82 2000 From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019Bobkov, S. G.; Ledoux, M. 76 2000 A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024Bakry, Dominique; Ledoux, Michel 66 2006 Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014Bobkov, S.; Ledoux, M. 58 1997 Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071Bakry, D.; Ledoux, M. 51 1996 Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel 46 1997 Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510Ledoux, M.; Qian, Z.; Zhang, T. 44 2002 Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028Ledoux, Michel 43 2004 Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041Bobkov, Sergey G.; Ledoux, Michel 40 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 39 1992 A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093Ledoux, M. 39 1994 Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096Ledoux, M. 38 2001 One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007Bobkov, Sergey; Ledoux, Michel 33 2019 Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 32 2015 Small deviations for beta ensembles. Zbl 1228.60015Ledoux, Michel; Rider, Brian 31 2010 On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002Bobkov, S. G.; Ledoux, M. 30 1998 On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025Ledoux, M. 27 1999 On improved Sobolev embedding theorems. Zbl 1044.22006Ledoux, M. 26 2003 Self-interacting diffusions. Zbl 1042.60060Benaïm, Michel; Ledoux, Michel; Raimond, Olivier 22 2002 Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071Ledoux, M.; Lyons, T.; Qian, Z. 22 2002 Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024Ledoux, Michel 22 1994 Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094Fathi, Max; Indrei, Emanuel; Ledoux, Michel 22 2016 From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036Bobkov, S. G.; Ledoux, M. 21 2008 Chaos of a Markov operator and the fourth moment condition. Zbl 1266.60042Ledoux, M. 21 2012 Deviation inequalities on largest eigenvalues. Zbl 1130.15012Ledoux, M. 21 2007 On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079Ledoux, M. 20 1992 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037Ledoux, M. 19 2004 On contraction properties of Markov kernels. Zbl 1030.60060Del Moral, P.; Ledoux, M.; Miclo, L. 18 2003 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. 18 1995 A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003Ledoux, M. 18 2009 Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074Ledoux, M. 17 1995 On Harnack inequalities and optimal transportation. Zbl 1331.35151Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 17 2015 Hölder norms and the support theorem for diffusions. Zbl 0814.60075Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 16 1994 On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063Ané, Cécile; Ledoux, Michel 15 2000 Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052Bakry, D.; Concordet, D.; Ledoux, M. 13 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 0826.53035Coulhon, Thierry; Ledoux, Michel 13 1994 Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009Ledoux, Michel; Popescu, Ionel 13 2009 Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018Cordero-Erausquin, Dario; Ledoux, Michel 13 2012 A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013Ledoux, Michel 11 1998 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. 10 1990 From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034Ledoux, Michel 10 2011 From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023Gigli, Nicola; Ledoux, Michel 10 2013 Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036Ledoux, Michel 9 2014 Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006Ledoux, Michel 9 1988 A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012Ledoux, Michel 9 2003 Perturbations of functional inequalities using growth conditions. Zbl 1120.60070Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu 9 2007 Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058Lambert, Gaultier; Ledoux, Michel; Webb, Christian 9 2019 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 A general framework for simulation of fractional fields. Zbl 1149.60032Cohen, Serge; Lacaux, Céline; Ledoux, Michel 8 2008 Extreme values and the law of the iterated logarithm. Zbl 0586.60009Kuelbs, J.; Ledoux, M. 8 1987 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. 7 1988 A (one-dimensional) free Brunn-Minkowski inequality. Zbl 1064.60032Ledoux, Michel 7 2005 Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard 7 2011 On measure concentration of vector-valued maps. Zbl 1125.60016Ledoux, Michel; Oleszkiewicz, Krzysztof 7 2007 Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019Ben Arous, G.; Ledoux, M. 6 1994 A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039Ledoux, M. 6 1992 Schilder’s large deviation principle without topology. Zbl 0801.60019Ben Arous, G.; Ledoux, M. 6 1993 A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni 6 2017 Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014Del Moral, P.; Ledoux, M. 5 2000 Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025Ledoux, Michel 5 2008 On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011Bobkov, Sergey G.; Ledoux, Michel 5 2009 Sobolev-Kantorovich inequalities. Zbl 1326.35171Ledoux, Michel 4 2015 A note on large deviations for Wiener chaos. Zbl 0701.60020Ledoux, Michel 4 1990 A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037Ledoux, M. 4 1990 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 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500Bobkov, S. G.; Gentil, I.; Ledoux, M. 3 2002 The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007Cordero-Erausquin, Dario; Ledoux, Michel 3 2010 Inégalités de Burkholder pour martingales indexees par NxN. Zbl 0463.60042Ledoux, Michel 3 1981 The one-dimensional free Poincaré inequality. Zbl 1281.46056Ledoux, Michel; Popescu, Ionel 3 2013 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 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 Heat flows, geometric and functional inequalities. Zbl 1373.35153Ledoux, Michel 3 2014 Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046Bobkov, Sergey G.; Ledoux, Michel 3 2020 On optimal matching of Gaussian samples. Zbl 1478.60080Ledoux, M. 3 2019 A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049Ledoux, Michel 3 2018 33rd Seminar on probability. (Séminaire de probabilités XXXIII.) Zbl 0924.00016 2 1999 The law of the iterated logarithm in uniformly convex Banach spaces. Zbl 0592.60008Ledoux, Michel 2 1986 A rate of convergence in the Poissonian representation of stable distributions. Zbl 0897.60025Ledoux, M.; Paulauskas, V. 2 1996 An observation about submatrices. Zbl 1189.60041Chatterjee, Sourav; Ledoux, Michel 2 2009 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case. Zbl 1110.60091Ledoux, M. 2 2005 Transformées de Burkholder et sommabilité de martingales à deux paramètres. Zbl 0493.60054Ledoux, Michel 2 1982 Une topologie fine associée au produit de deux processus markoviens. Zbl 0557.60057Cairoli, R.; Ledoux, M. 2 1984 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 1 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 33 2019 Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058Lambert, Gaultier; Ledoux, Michel; Webb, Christian 9 2019 On optimal matching of Gaussian samples. Zbl 1478.60080Ledoux, M. 3 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 6 2017 Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094Fathi, Max; Indrei, Emanuel; Ledoux, Michel 22 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 32 2015 On Harnack inequalities and optimal transportation. Zbl 1331.35151Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 17 2015 Sobolev-Kantorovich inequalities. Zbl 1326.35171Ledoux, Michel 4 2015 Analysis and geometry of Markov diffusion operators. Zbl 1376.60002Bakry, Dominique; Gentil, Ivan; Ledoux, Michel 361 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 3 2014 From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023Gigli, Nicola; Ledoux, Michel 10 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. 21 2012 Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018Cordero-Erausquin, Dario; Ledoux, Michel 13 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 98 2011 From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034Ledoux, Michel 10 2011 Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard 7 2011 Small deviations for beta ensembles. Zbl 1228.60015Ledoux, Michel; Rider, Brian 31 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 40 2009 A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003Ledoux, M. 18 2009 Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009Ledoux, Michel; Popescu, Ionel 13 2009 On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011Bobkov, Sergey G.; Ledoux, Michel 5 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 8 2008 Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025Ledoux, Michel 5 2008 Deviation inequalities on largest eigenvalues. Zbl 1130.15012Ledoux, M. 21 2007 Perturbations of functional inequalities using growth conditions. Zbl 1120.60070Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu 9 2007 On measure concentration of vector-valued maps. Zbl 1125.60016Ledoux, Michel; Oleszkiewicz, Krzysztof 7 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 66 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 43 2004 Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037Ledoux, M. 19 2004 On improved Sobolev embedding theorems. Zbl 1044.22006Ledoux, M. 26 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. 44 2002 Self-interacting diffusions. Zbl 1042.60060Benaïm, Michel; Ledoux, Michel; Raimond, Olivier 22 2002 Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071Ledoux, M.; Lyons, T.; Qian, Z. 22 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 530 2001 Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel 150 2001 Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096Ledoux, M. 38 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 137 2000 The geometry of Markov diffusion generators. Zbl 0980.60097Ledoux, Michel 96 2000 Paneitz-type operators and applications. Zbl 0998.58009Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 82 2000 From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019Bobkov, S. G.; Ledoux, M. 76 2000 On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063Ané, Cécile; Ledoux, Michel 15 2000 Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014Del Moral, P.; Ledoux, M. 5 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 131 1999 On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025Ledoux, M. 27 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. 30 1998 A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013Ledoux, Michel 11 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. 58 1997 Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel 46 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 106 1996 On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013Ledoux, Michel 90 1996 Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011Bakry, D.; Ledoux, M. 89 1996 Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071Bakry, D.; Ledoux, M. 51 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. 101 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. 18 1995 Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074Ledoux, M. 17 1995 A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093Ledoux, M. 39 1994 Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024Ledoux, Michel 22 1994 Hölder norms and the support theorem for diffusions. Zbl 0814.60075Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel 16 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. 6 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 39 1992 On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079Ledoux, M. 20 1992 A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039Ledoux, M. 6 1992 Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004Ledoux, Michel; Talagrand, Michel 761 1991 Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005Ledoux, M.; Talagrand, M. 10 1990 A note on large deviations for Wiener chaos. Zbl 0701.60020Ledoux, Michel 4 1990 A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037Ledoux, M. 4 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. 100 1988 Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006Ledoux, Michel 9 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. 7 1988 Inégalités isopérimétriques et calcul stochastique. (Isoperimetric inequalities and stochastic calculus). Zbl 0649.60003Ledoux, Michel 1 1988 Extreme values and the law of the iterated logarithm. Zbl 0586.60009Kuelbs, J.; Ledoux, M. 8 1987 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,967 Authors 47 Wang, Feng-Yu 38 Ledoux, Michel 37 Mendelson, Shahar 36 Bobkov, Sergey Germanovich 25 Guillin, Arnaud 24 Milman, Emanuel 22 Dolbeault, Jean 21 Gentil, Ivan 19 Baudoin, Fabrice 19 Giné-Masdéu, Evarist 18 Gozlan, Nathael 18 Talagrand, Michel 18 Wu, Liming 17 Götze, Friedrich 17 Li, Deli 17 Roberto, Cyril 16 Adamczak, Radosław 16 Barthe, Franck 16 Latała, Rafał 16 Saloff-Coste, Laurent 16 Vershynin, Roman 15 Ambrosio, Luigi 15 Bakry, Dominique 15 Chen, Pingyan 14 Bogachev, Vladimir Igorevich 14 Lugosi, Gábor 14 Rosalsky, Andrew 14 Tropp, Joel A. 14 Van de Geer, Sara Anna 13 Chafaï, Djalil 13 Gao, Fuqing 13 Kolesnikov, Alexander V. 13 Kolchinskiĭ, Vladimir I’ich 13 Lecué, Guillaume 13 Paouris, Grigoris 12 Bonnefont, Michel 12 Eldan, Ronen 12 Friz, Peter Karl 12 Rauhut, Holger 11 Arcones, Miguel A. 11 Bolley, François 11 Cattiaux, Patrick 11 Ding, Jian 11 Junge, Marius 11 Kuelbs, James D. 11 Mossel, Elchanan 11 Otto, Felix 11 Račkauskas, Alfredas Yurgevich 11 Samson, Paul-Marie 10 Aida, Shigeki 10 Chtioui, Hichem 10 Esteban, Maria J. 10 Fathi, Max 10 Houdré, Christian 10 Kuwada, Kazumasa 10 Li, Wenbo V. 10 Li, Xiang-Dong 10 Röckner, Michael 10 Shao, Jinghai 10 Tetali, Prasad 10 Wainwright, Martin J. 9 Caputo, Pietro 9 Coulhon, Thierry 9 El Karoui, Noureddine 9 Funano, Kei 9 Guédon, Olivier 9 Klartag, Bo’az 9 Ma, Yutao 9 Miclo, Laurent 9 Ohta, Shin-ichi 9 Peccati, Giovanni 9 Rudelson, Mark 9 Shao, Qi-Man 9 Veraar, Mark C. 9 Volodin, Andrei I. 9 Wu, Bo 9 Zeitouni, Ofer 9 Zhang, Zhengliang 9 Zinn, Joel 8 Bednorz, Witold Marek 8 Benaïm, Michel 8 Ceccon, Jurandir 8 Dedecker, Jérôme 8 Inahama, Yuzuru 8 Joulin, Aldéric 8 Mason, David M. 8 Massart, Pascal 8 Merlevède, Florence 8 Mondino, Andrea 8 Monmarché, Pierre 8 Nickl, Richard 8 Pallara, Diego 8 Paulauskas, Vygantas Ionovič 8 Schwab, Christoph 8 Sturm, Karl-Theodor 8 Valettas, Petros 8 van Neerven, Jan M. 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