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Author ID: ledoux.michel Recent zbMATH articles by "Ledoux, Michel"
Published as: Ledoux, Michel; Ledoux, M.
Homepage: http://perso.math.univ-toulouse.fr/ledoux/
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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

Publications by Year

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 0748.60004
Ledoux, Michel; Talagrand, Michel
761
1991
The concentration of measure phenomenon. Zbl 0995.60002
Ledoux, Michel
530
2001
Analysis and geometry of Markov diffusion operators. Zbl 1376.60002
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
361
2014
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020
Bobkov, 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 0982.46026
Ané, 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 0957.60016
Ledoux, Michel
131
1999
Isoperimetry and Gaussian analysis. Zbl 0874.60005
Ledoux, Michel
106
1996
Sobolev inequalities in disguise. Zbl 0857.26006
Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L.
101
1995
Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008
Ledoux, M.; Talagrand, M.
100
1988
Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003
Ledoux, Michel; Talagrand, Michel
98
2011
The geometry of Markov diffusion generators. Zbl 0980.60097
Ledoux, Michel
96
2000
On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013
Ledoux, Michel
90
1996
Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011
Bakry, D.; Ledoux, M.
89
1996
Paneitz-type operators and applications. Zbl 0998.58009
Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel
82
2000
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
76
2000
A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024
Bakry, Dominique; Ledoux, Michel
66
2006
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014
Bobkov, S.; Ledoux, M.
58
1997
Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071
Bakry, D.; Ledoux, M.
51
1996
Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045
Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel
46
1997
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
44
2002
Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028
Ledoux, Michel
43
2004
Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041
Bobkov, 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 0751.60009
Ledoux, Michel
39
1992
A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093
Ledoux, M.
39
1994
Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096
Ledoux, M.
38
2001
One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 1454.60007
Bobkov, Sergey; Ledoux, Michel
33
2019
Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
32
2015
Small deviations for beta ensembles. Zbl 1228.60015
Ledoux, Michel; Rider, Brian
31
2010
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002
Bobkov, S. G.; Ledoux, M.
30
1998
On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025
Ledoux, M.
27
1999
On improved Sobolev embedding theorems. Zbl 1044.22006
Ledoux, M.
26
2003
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier
22
2002
Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071
Ledoux, M.; Lyons, T.; Qian, Z.
22
2002
Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024
Ledoux, Michel
22
1994
Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094
Fathi, Max; Indrei, Emanuel; Ledoux, Michel
22
2016
From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036
Bobkov, S. G.; Ledoux, M.
21
2008
Chaos of a Markov operator and the fourth moment condition. Zbl 1266.60042
Ledoux, M.
21
2012
Deviation inequalities on largest eigenvalues. Zbl 1130.15012
Ledoux, M.
21
2007
On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079
Ledoux, M.
20
1992
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037
Ledoux, M.
19
2004
On contraction properties of Markov kernels. Zbl 1030.60060
Del 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 0842.60075
Ledoux, M.
18
1995
A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003
Ledoux, M.
18
2009
Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074
Ledoux, M.
17
1995
On Harnack inequalities and optimal transportation. Zbl 1331.35151
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
17
2015
Hölder norms and the support theorem for diffusions. Zbl 0814.60075
Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel
16
1994
On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063
Ané, Cécile; Ledoux, Michel
15
2000
Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052
Bakry, 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 0826.53035
Coulhon, Thierry; Ledoux, Michel
13
1994
Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009
Ledoux, Michel; Popescu, Ionel
13
2009
Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018
Cordero-Erausquin, Dario; Ledoux, Michel
13
2012
A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013
Ledoux, Michel
11
1998
Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048
Ledoux, M.; Talagrand, M.
11
1989
Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005
Ledoux, M.; Talagrand, M.
10
1990
From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034
Ledoux, Michel
10
2011
From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023
Gigli, Nicola; Ledoux, Michel
10
2013
Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036
Ledoux, Michel
9
2014
Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006
Ledoux, Michel
9
1988
A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012
Ledoux, Michel
9
2003
Perturbations of functional inequalities using growth conditions. Zbl 1120.60070
Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu
9
2007
Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058
Lambert, 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 0593.60009
Ledoux, Michel; Talagrand, Michel
8
1986
A general framework for simulation of fractional fields. Zbl 1149.60032
Cohen, Serge; Lacaux, Céline; Ledoux, Michel
8
2008
Extreme values and the law of the iterated logarithm. Zbl 0586.60009
Kuelbs, 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 0617.60008
Ledoux, M.; Talagrand, M.
7
1988
A (one-dimensional) free Brunn-Minkowski inequality. Zbl 1064.60032
Ledoux, Michel
7
2005
Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025
Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard
7
2011
On measure concentration of vector-valued maps. Zbl 1125.60016
Ledoux, Michel; Oleszkiewicz, Krzysztof
7
2007
Freidlin-Wentzell large deviations in Hölder norm. (Grandes déviations de Freidlin-Wentzell en norme Höldérienne.) Zbl 0811.60019
Ben Arous, G.; Ledoux, M.
6
1994
A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039
Ledoux, M.
6
1992
Schilder’s large deviation principle without topology. Zbl 0801.60019
Ben Arous, G.; Ledoux, M.
6
1993
A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
6
2017
Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014
Del Moral, P.; Ledoux, M.
5
2000
Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025
Ledoux, Michel
5
2008
On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011
Bobkov, Sergey G.; Ledoux, Michel
5
2009
Sobolev-Kantorovich inequalities. Zbl 1326.35171
Ledoux, Michel
4
2015
A note on large deviations for Wiener chaos. Zbl 0701.60020
Ledoux, Michel
4
1990
A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037
Ledoux, M.
4
1990
Isoperimetric inequalities in analysis and probability. (Inégalités isopérimétriques en analyse et probabilités.) Zbl 0809.60021
Ledoux, Michel
4
1993
Loi du logarithme iteré dans C(S) et fonction caractéristique empirique. Zbl 0493.60010
Ledoux, Michel
4
1982
Extreme values and a Gaussian central limit theorem. Zbl 0586.60017
Kuelbs, J.; Ledoux, M.
4
1986
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500
Bobkov, S. G.; Gentil, I.; Ledoux, M.
3
2002
The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007
Cordero-Erausquin, Dario; Ledoux, Michel
3
2010
Inégalités de Burkholder pour martingales indexees par NxN. Zbl 0463.60042
Ledoux, Michel
3
1981
The one-dimensional free Poincaré inequality. Zbl 1281.46056
Ledoux, Michel; Popescu, Ionel
3
2013
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
Heat flows, geometric and functional inequalities. Zbl 1373.35153
Ledoux, Michel
3
2014
Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046
Bobkov, Sergey G.; Ledoux, Michel
3
2020
On optimal matching of Gaussian samples. Zbl 1478.60080
Ledoux, M.
3
2019
A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049
Ledoux, 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 0592.60008
Ledoux, Michel
2
1986
A rate of convergence in the Poissonian representation of stable distributions. Zbl 0897.60025
Ledoux, M.; Paulauskas, V.
2
1996
An observation about submatrices. Zbl 1189.60041
Chatterjee, Sourav; Ledoux, Michel
2
2009
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case. Zbl 1110.60091
Ledoux, M.
2
2005
Transformées de Burkholder et sommabilité de martingales à deux paramètres. Zbl 0493.60054
Ledoux, Michel
2
1982
Une topologie fine associée au produit de deux processus markoviens. Zbl 0557.60057
Cairoli, R.; Ledoux, M.
2
1984
Classe L log L et martingales fortes à paramètre bidimensionnel. Zbl 0531.60052
Ledoux, M.
2
1981
A simple Fourier analytic proof of the AKT optimal matching theorem. Zbl 1482.60011
Bobkov, Sergey G.; Ledoux, Michel
1
2021
Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046
Bobkov, Sergey G.; Ledoux, Michel
3
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
33
2019
Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058
Lambert, Gaultier; Ledoux, Michel; Webb, Christian
9
2019
On optimal matching of Gaussian samples. Zbl 1478.60080
Ledoux, M.
3
2019
A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049
Ledoux, Michel
3
2018
A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
6
2017
Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094
Fathi, Max; Indrei, Emanuel; Ledoux, Michel
22
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
32
2015
On Harnack inequalities and optimal transportation. Zbl 1331.35151
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
17
2015
Sobolev-Kantorovich inequalities. Zbl 1326.35171
Ledoux, Michel
4
2015
Analysis and geometry of Markov diffusion operators. Zbl 1376.60002
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
361
2014
Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036
Ledoux, Michel
9
2014
Heat flows, geometric and functional inequalities. Zbl 1373.35153
Ledoux, Michel
3
2014
From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023
Gigli, Nicola; Ledoux, Michel
10
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.
21
2012
Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018
Cordero-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 1234.60007
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
98
2011
From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034
Ledoux, Michel
10
2011
Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025
Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard
7
2011
Small deviations for beta ensembles. Zbl 1228.60015
Ledoux, Michel; Rider, Brian
31
2010
The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007
Cordero-Erausquin, Dario; Ledoux, Michel
3
2010
Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041
Bobkov, Sergey G.; Ledoux, Michel
40
2009
A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003
Ledoux, M.
18
2009
Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009
Ledoux, Michel; Popescu, Ionel
13
2009
On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011
Bobkov, Sergey G.; Ledoux, Michel
5
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.
21
2008
A general framework for simulation of fractional fields. Zbl 1149.60032
Cohen, Serge; Lacaux, Céline; Ledoux, Michel
8
2008
Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025
Ledoux, Michel
5
2008
Deviation inequalities on largest eigenvalues. Zbl 1130.15012
Ledoux, M.
21
2007
Perturbations of functional inequalities using growth conditions. Zbl 1120.60070
Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu
9
2007
On measure concentration of vector-valued maps. Zbl 1125.60016
Ledoux, Michel; Oleszkiewicz, Krzysztof
7
2007
Probability. Nouvelle ed. (Probabilité.) Zbl 1251.60002
Barbe, Philippe; Ledoux, Michel
1
2007
A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024
Bakry, Dominique; Ledoux, Michel
66
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.
2
2005
Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028
Ledoux, Michel
43
2004
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. {T}he continuous case. Zbl 1073.60037
Ledoux, M.
19
2004
On improved Sobolev embedding theorems. Zbl 1044.22006
Ledoux, M.
26
2003
On contraction properties of Markov kernels. Zbl 1030.60060
Del Moral, P.; Ledoux, M.; Miclo, L.
18
2003
A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012
Ledoux, Michel
9
2003
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
44
2002
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier
22
2002
Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071
Ledoux, M.; Lyons, T.; Qian, Z.
22
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
530
2001
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020
Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel
150
2001
Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096
Ledoux, M.
38
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
137
2000
The geometry of Markov diffusion generators. Zbl 0980.60097
Ledoux, Michel
96
2000
Paneitz-type operators and applications. Zbl 0998.58009
Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel
82
2000
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
76
2000
On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063
Ané, Cécile; Ledoux, Michel
15
2000
Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014
Del Moral, P.; Ledoux, M.
5
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
131
1999
On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025
Ledoux, 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 0939.60019
Chafaï, Djalil; Ledoux, Michel
1
1999
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002
Bobkov, S. G.; Ledoux, M.
30
1998
A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013
Ledoux, Michel
11
1998
On convex limit sets and Brownian motion. Zbl 0916.60071
Kuelbs, J.; Ledoux, M.
1
1998
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014
Bobkov, S.; Ledoux, M.
58
1997
Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045
Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel
46
1997
Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052
Bakry, D.; Concordet, D.; Ledoux, M.
13
1997
Isoperimetry and Gaussian analysis. Zbl 0874.60005
Ledoux, Michel
106
1996
On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013
Ledoux, Michel
90
1996
Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011
Bakry, D.; Ledoux, M.
89
1996
Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071
Bakry, D.; Ledoux, M.
51
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.
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 0842.60075
Ledoux, M.
18
1995
Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074
Ledoux, M.
17
1995
A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093
Ledoux, M.
39
1994
Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024
Ledoux, Michel
22
1994
Hölder norms and the support theorem for diffusions. Zbl 0814.60075
Ben 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 0826.53035
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.
6
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
39
1992
On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079
Ledoux, M.
20
1992
A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039
Ledoux, M.
6
1992
Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004
Ledoux, Michel; Talagrand, Michel
761
1991
Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005
Ledoux, M.; Talagrand, M.
10
1990
A note on large deviations for Wiener chaos. Zbl 0701.60020
Ledoux, Michel
4
1990
A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037
Ledoux, M.
4
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.
11
1989
Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008
Ledoux, M.; Talagrand, M.
100
1988
Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006
Ledoux, 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 0617.60008
Ledoux, M.; Talagrand, M.
7
1988
Inégalités isopérimétriques et calcul stochastique. (Isoperimetric inequalities and stochastic calculus). Zbl 0649.60003
Ledoux, Michel
1
1988
Extreme values and the law of the iterated logarithm. Zbl 0586.60009
Kuelbs, J.; Ledoux, M.
8
1987
...and 16 more Documents
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. A. M.
8 Villani, Cédric
8 Wang, Jian
8 Wang, Ran
...and 2,867 more Authors
all top 5

Cited in 411 Serials

167 Journal of Functional Analysis
139 The Annals of Probability
133 Probability Theory and Related Fields
102 Stochastic Processes and their Applications
80 The Annals of Statistics
77 Statistics & Probability Letters
72 Journal of Theoretical Probability
62 Bernoulli
58 Journal of Mathematical Analysis and Applications
55 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
54 Potential Analysis
50 The Annals of Applied Probability
49 Communications in Mathematical Physics
49 Electronic Journal of Statistics
46 Electronic Journal of Probability
45 Proceedings of the American Mathematical Society
41 Advances in Mathematics
40 Transactions of the American Mathematical Society
32 Israel Journal of Mathematics
32 Journal de Mathématiques Pures et Appliquées. Neuvième Série
32 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
31 The Journal of Geometric Analysis
30 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
30 Calculus of Variations and Partial Differential Equations
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Journal of Statistical Physics
24 Journal of Multivariate Analysis
23 Journal of Mathematical Sciences (New York)
22 Acta Mathematica Sinica. English Series
21 Journal of Mathematical Physics
20 Journal of Differential Equations
19 Applied and Computational Harmonic Analysis
17 Mathematische Annalen
17 Stochastic Analysis and Applications
17 Journal of Machine Learning Research (JMLR)
15 Journal of Statistical Planning and Inference
15 Mathematische Zeitschrift
15 Geometric and Functional Analysis. GAFA
15 Bulletin des Sciences Mathématiques
13 Duke Mathematical Journal
13 Journal of Complexity
13 Revista Matemática Iberoamericana
13 The Journal of Fourier Analysis and Applications
12 Lithuanian Mathematical Journal
12 Acta Applicandae Mathematicae
12 Infinite Dimensional Analysis, Quantum Probability and Related Topics
12 Frontiers of Mathematics in China
11 Inventiones Mathematicae
11 Journal of Approximation Theory
11 Manuscripta Mathematica
11 Science China. Mathematics
10 Mathematical Notes
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Memoirs of the American Mathematical Society
10 Electronic Communications in Probability
10 Journal of the European Mathematical Society (JEMS)
10 Foundations of Computational Mathematics
10 Communications on Pure and Applied Analysis
10 Random Matrices: Theory and Applications
9 Communications on Pure and Applied Mathematics
9 Communications in Partial Differential Equations
9 Discrete and Continuous Dynamical Systems
9 Communications in Contemporary Mathematics
9 Stochastics and Dynamics
9 ALEA. Latin American Journal of Probability and Mathematical Statistics
8 Mathematical Programming. Series A. Series B
8 Annales Henri Poincaré
8 Annales Henri Lebesgue
7 Journal für die Reine und Angewandte Mathematik
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Differential Geometry and its Applications
7 Annals of Mathematics. Second Series
7 Complex Variables and Elliptic Equations
7 Analysis and Geometry in Metric Spaces
6 Archive for Rational Mechanics and Analysis
6 Studia Mathematica
6 Mathematics of Computation
6 Annals of the Institute of Statistical Mathematics
6 Journal of Applied Probability
6 Results in Mathematics
6 Chinese Annals of Mathematics. Series B
6 Acta Mathematicae Applicatae Sinica. English Series
6 Constructive Approximation
6 Discrete & Computational Geometry
6 Journal of the American Mathematical Society
6 Science in China. Series A
6 Random Structures & Algorithms
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 SIAM Journal on Mathematical Analysis
6 SIAM Journal on Optimization
6 Annales Mathématiques Blaise Pascal
6 Journal of Nonparametric Statistics
6 SIAM/ASA Journal on Uncertainty Quantification
5 Theory of Probability and its Applications
5 Monatshefte für Mathematik
5 Numerische Mathematik
5 Osaka Journal of Mathematics
5 Neural Computation
5 Linear Algebra and its Applications
...and 311 more Serials
all top 5

Cited in 58 Fields

1,782 Probability theory and stochastic processes (60-XX)
466 Statistics (62-XX)
418 Partial differential equations (35-XX)
344 Functional analysis (46-XX)
327 Global analysis, analysis on manifolds (58-XX)
275 Differential geometry (53-XX)
228 Operator theory (47-XX)
194 Real functions (26-XX)
180 Statistical mechanics, structure of matter (82-XX)
146 Numerical analysis (65-XX)
133 Linear and multilinear algebra; matrix theory (15-XX)
127 Measure and integration (28-XX)
113 Computer science (68-XX)
109 Calculus of variations and optimal control; optimization (49-XX)
104 Information and communication theory, circuits (94-XX)
102 Convex and discrete geometry (52-XX)
85 Dynamical systems and ergodic theory (37-XX)
78 Harmonic analysis on Euclidean spaces (42-XX)
75 Combinatorics (05-XX)
73 Operations research, mathematical programming (90-XX)
61 Quantum theory (81-XX)
57 Difference and functional equations (39-XX)
40 Abstract harmonic analysis (43-XX)
37 Ordinary differential equations (34-XX)
37 Approximations and expansions (41-XX)
35 Potential theory (31-XX)
33 Special functions (33-XX)
31 Biology and other natural sciences (92-XX)
29 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Topological groups, Lie groups (22-XX)
26 Systems theory; control (93-XX)
20 Functions of a complex variable (30-XX)
16 General topology (54-XX)
16 Fluid mechanics (76-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Integral equations (45-XX)
8 Algebraic topology (55-XX)
8 Manifolds and cell complexes (57-XX)
8 Mechanics of particles and systems (70-XX)
7 Number theory (11-XX)
7 Algebraic geometry (14-XX)
6 Group theory and generalizations (20-XX)
6 Integral transforms, operational calculus (44-XX)
6 Geometry (51-XX)
6 Relativity and gravitational theory (83-XX)
5 Mathematical logic and foundations (03-XX)
4 History and biography (01-XX)
3 General and overarching topics; collections (00-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Mechanics of deformable solids (74-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Classical thermodynamics, heat transfer (80-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

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