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Ledoux, Michel

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Author ID: ledoux.michel Recent zbMATH articles by "Ledoux, Michel"
Published as: Ledoux, M.; Ledoux, Michel
Homepage: http://perso.math.univ-toulouse.fr/ledoux/
External Links: MGP · Wikidata · GND
Documents Indexed: 140 Publications since 1981, including 16 Books
all top 5

Serials

7 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 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 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Journal of Theoretical Probability
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 The Journal of Fourier Analysis and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
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 Revista Matemática Iberoamericana
1 IMRN. International Mathematics Research Notices
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Communications in Analysis and Geometry
1 Mathematical Research Letters
1 Discrete and Continuous Dynamical Systems
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 Contemporary Mathematics
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Grundlehren der Mathematischen Wissenschaften
1 Mathematical Surveys and Monographs
1 Science China. Mathematics
1 Analysis and Geometry in Metric Spaces
1 Classics in Mathematics

Publications by Year

Citations contained in zbMATH

111 Publications have been cited 3,659 times in 2,625 Documents Cited by Year
Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004
Ledoux, Michel; Talagrand, Michel
805
1991
The concentration of measure phenomenon. Zbl 0995.60002
Ledoux, Michel
491
2001
Analysis and geometry of Markov diffusion operators. Zbl 1376.60002
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
266
2014
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020
Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel
136
2001
Concentration of measure and logarithmic Sobolev inequalities. Zbl 0957.60016
Ledoux, Michel
118
1999
Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008
Ledoux, M.; Talagrand, M.
100
1988
Isoperimetry and Gaussian analysis. Zbl 0874.60005
Ledoux, Michel
96
1996
Sobolev inequalities in disguise. Zbl 0857.26006
Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L.
92
1995
The geometry of Markov diffusion generators. Zbl 0980.60097
Ledoux, Michel
88
2000
Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011
Bakry, D.; Ledoux, M.
82
1996
On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013
Ledoux, Michel
81
1996
Paneitz-type operators and applications. Zbl 0998.58009
Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel
75
2000
Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003
Ledoux, Michel; Talagrand, Michel
70
2011
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
68
2000
A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024
Bakry, Dominique; Ledoux, Michel
59
2006
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014
Bobkov, S.; Ledoux, M.
53
1997
Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045
Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel
44
1997
Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071
Bakry, D.; Ledoux, M.
43
1996
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
41
2002
Spectral gap, logarithmic Sobolev constant, and geometric bounds. Zbl 1061.58028
Ledoux, Michel
39
2004
A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093
Ledoux, M.
36
1994
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
36
1992
Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096
Ledoux, M.
31
2001
Weighted Poincaré-type inequalities for Cauchy and other convex measures. Zbl 1178.46041
Bobkov, Sergey G.; Ledoux, Michel
29
2009
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. Zbl 0920.60002
Bobkov, S. G.; Ledoux, M.
28
1998
Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
26
2015
On improved Sobolev embedding theorems. Zbl 1044.22006
Ledoux, M.
22
2003
Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071
Ledoux, M.; Lyons, T.; Qian, Z.
22
2002
Small deviations for beta ensembles. Zbl 1228.60015
Ledoux, Michel; Rider, Brian
20
2010
On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025
Ledoux, M.
20
1999
Deviation inequalities on largest eigenvalues. Zbl 1130.15012
Ledoux, M.
19
2007
On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079
Ledoux, M.
19
1992
From Brunn-Minkowski to sharp Sobolev inequalities. Zbl 1223.26036
Bobkov, S. G.; Ledoux, M.
18
2008
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier
18
2002
Chaos of a Markov operator and the fourth moment condition. Zbl 1266.60042
Ledoux, M.
17
2012
The Lie algebra of iterated gradients of a Markov generator – variance and entropy expansions. Zbl 0842.60075
Ledoux, M.
17
1995
Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094
Fathi, Max; Indrei, Emanuel; Ledoux, Michel
16
2016
Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074
Ledoux, M.
16
1995
Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024
Ledoux, Michel
16
1994
On contraction properties of Markov kernels. Zbl 1030.60060
Del Moral, P.; Ledoux, M.; Miclo, L.
15
2003
Hölder norms and the support theorem for diffusions. Zbl 0814.60075
Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel
15
1994
One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 07127347
Bobkov, Sergey; Ledoux, Michel
13
2019
On Harnack inequalities and optimal transportation. Zbl 1331.35151
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
13
2015
A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003
Ledoux, M.
13
2009
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. The continuous case. Zbl 1073.60037
Ledoux, M.
13
2004
On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063
Ané, Cécile; Ledoux, Michel
13
2000
Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. 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
12
2009
A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013
Ledoux, Michel
12
1998
Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052
Bakry, D.; Concordet, D.; Ledoux, M.
12
1997
From log Sobolev to Talagrand: A quick proof. Zbl 1268.60023
Gigli, Nicola; Ledoux, Michel
10
2013
Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018
Cordero-Erausquin, Dario; Ledoux, Michel
10
2012
From concentration to isoperimetry: semigroup proofs. Zbl 1237.53034
Ledoux, Michel
10
2011
A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012
Ledoux, Michel
10
2003
Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005
Ledoux, M.; Talagrand, M.
10
1990
Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048
Ledoux, M.; Talagrand, M.
10
1989
Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes. (Gaussian isoperimetry and logarithmic Sobolev inequalities). Zbl 0646.60006
Ledoux, Michel
9
1988
Extreme values and the law of the iterated logarithm. Zbl 0586.60009
Kuelbs, J.; Ledoux, M.
8
1987
Correlation and Brascamp-Lieb inequalities for Markov semigroups. Zbl 1222.26025
Barthe, Franck; Cordero-Erausquin, Dario; Ledoux, Michel; Maurey, Bernard
7
2011
A general framework for simulation of fractional fields. Zbl 1149.60032
Cohen, Serge; Lacaux, Céline; Ledoux, Michel
7
2008
Perturbations of functional inequalities using growth conditions. Zbl 1120.60070
Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu
7
2007
A (one-dimensional) free Brunn-Minkowski inequality. Zbl 1064.60032
Ledoux, Michel
7
2005
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
Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036
Ledoux, Michel
6
2014
On measure concentration of vector-valued maps. Zbl 1125.60016
Ledoux, Michel; Oleszkiewicz, Krzysztof
6
2007
Freidlin-Wentzell large deviations in Hölder norm. 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
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
6
1986
A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
5
2017
Convergence of empirical processes for interacting particle systems with applications to nonlinear filtering. Zbl 0954.60014
Del Moral, P.; Ledoux, M.
5
2000
Isoperimetric inequalities in analysis and probability. Zbl 0809.60021
Ledoux, Michel
4
1993
A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039
Ledoux, M.
4
1992
A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037
Ledoux, M.
4
1990
A note on large deviations for Wiener chaos. Zbl 0701.60020
Ledoux, Michel
4
1990
Extreme values and a Gaussian central limit theorem. Zbl 0586.60017
Kuelbs, J.; Ledoux, M.
4
1986
Loi du logarithme iteré dans C(S) et fonction caractéristique empirique. Zbl 0493.60010
Ledoux, Michel
4
1982
Heat flows, geometric and functional inequalities. Zbl 1373.35153
Ledoux, Michel
3
2014
The one-dimensional free Poincaré inequality. Zbl 1281.46056
Ledoux, Michel; Popescu, Ionel
3
2013
The geometry of Euclidean convolution inequalities and entropy. Zbl 1196.42007
Cordero-Erausquin, Dario; Ledoux, Michel
3
2010
Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025
Ledoux, Michel
3
2008
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1006.47500
Bobkov, S. G.; Gentil, I.; Ledoux, M.
3
2002
An inequality for the law of the iterated logarithm. Zbl 0516.60005
de Acosta, Alejandro; Kuelbs, J.; Ledoux, M.
3
1983
Inégalités de Burkholder pour martingales indexees par NxN. Zbl 0463.60042
Ledoux, Michel
3
1981
Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058
Lambert, Gaultier; Ledoux, Michel; Webb, Christian
2
2019
A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049
Ledoux, Michel
2
2018
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
2
2012
On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011
Bobkov, Sergey G.; Ledoux, Michel
2
2009
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
33rd Seminar on probability. Zbl 0924.00016
Azéma, Jacques (ed.); Émery, Michel (ed.); Ledoux, Michel (ed.); Yor, Marc (ed.)
2
1999
A rate of convergence in the Poissonian representation of stable distributions. Zbl 0897.60025
Ledoux, M.; Paulauskas, V.
2
1996
Inégalités isopérimétriques et calcul stochastique. (Isoperimetric inequalities and stochastic calculus). Zbl 0649.60003
Ledoux, Michel
2
1988
The law of the iterated logarithm in uniformly convex Banach spaces. Zbl 0592.60008
Ledoux, Michel
2
1986
La loi du logarithme itéré dans les espaces de Banach (The law of the iterated logarithm in Banach spaces). Zbl 0589.60005
Ledoux, Michel; Talagrand, Michel
2
1986
La loi du logarithme itéré dans les espaces de Banach uniformément convexes (The law of the iterated logarithm in uniformly convex Banach spaces). Zbl 0584.60011
Ledoux, Michel
2
1985
Sur une inégalité de H. P. Rosenthal et le théorème limite central dans les espaces de Banach. Zbl 0576.60009
Ledoux, Michel
2
1985
Une topologie fine associée au produit de deux processus markoviens. Zbl 0557.60057
Cairoli, R.; Ledoux, M.
2
1984
Sur les théoremes limites dans certains espaces de Banach lisses. Zbl 0516.60004
Ledoux, Michel
2
1983
Transformées de Burkholder et sommabilité de martingales à deux paramètres. Zbl 0493.60054
Ledoux, Michel
2
1982
Classe L log L et martingales fortes à paramètre bidimensionnel. Zbl 0531.60052
Ledoux, M.
2
1981
One-dimensional empirical measures, order statistics, and Kantorovich transport distances. Zbl 07127347
Bobkov, Sergey; Ledoux, Michel
13
2019
Quantitative normal approximation of linear statistics of \(\beta \)-ensembles. Zbl 1448.60058
Lambert, Gaultier; Ledoux, Michel; Webb, Christian
2
2019
On optimal matching of Gaussian samples. Zbl 07084427
Ledoux, M.
1
2019
A law of the iterated logarithm for directed last passage percolation. Zbl 1428.60049
Ledoux, Michel
2
2018
A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
5
2017
Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094
Fathi, Max; Indrei, Emanuel; Ledoux, Michel
16
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
26
2015
On Harnack inequalities and optimal transportation. Zbl 1331.35151
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
13
2015
Sobolev-Kantorovich inequalities. Zbl 1326.35171
Ledoux, Michel
1
2015
Analysis and geometry of Markov diffusion operators. Zbl 1376.60002
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
266
2014
Remarks on Gaussian noise stability, Brascamp-Lieb and Slepian inequalities. Zbl 1330.60036
Ledoux, Michel
6
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.
17
2012
Hypercontractive measures, Talagrand’s inequality, and influences. Zbl 1280.60018
Cordero-Erausquin, Dario; Ledoux, Michel
10
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
2
2012
Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003
Ledoux, Michel; Talagrand, Michel
70
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
20
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
29
2009
A recursion formula for the moments of the Gaussian orthogonal ensemble. Zbl 1184.60003
Ledoux, M.
13
2009
Mass transportation proofs of free functional inequalities, and free Poincaré inequalities. Zbl 1168.60009
Ledoux, Michel; Popescu, Ionel
12
2009
On weighted isoperimetric and Poincaré-type inequalities. Zbl 1243.26011
Bobkov, Sergey G.; Ledoux, Michel
2
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.
18
2008
A general framework for simulation of fractional fields. Zbl 1149.60032
Cohen, Serge; Lacaux, Céline; Ledoux, Michel
7
2008
Complex Hermite polynomials: from the semi-circular law to the circular law. Zbl 1331.33025
Ledoux, Michel
3
2008
Deviation inequalities on largest eigenvalues. Zbl 1130.15012
Ledoux, M.
19
2007
Perturbations of functional inequalities using growth conditions. Zbl 1120.60070
Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu
7
2007
On measure concentration of vector-valued maps. Zbl 1125.60016
Ledoux, Michel; Oleszkiewicz, Krzysztof
6
2007
Probability. Nouvelle ed. 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
59
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
39
2004
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. The continuous case. Zbl 1073.60037
Ledoux, M.
13
2004
On improved Sobolev embedding theorems. Zbl 1044.22006
Ledoux, M.
22
2003
On contraction properties of Markov kernels. Zbl 1030.60060
Del Moral, P.; Ledoux, M.; Miclo, L.
15
2003
A remark on hypercontractivity and tail inequalities for the largest eigenvalues of random matrices. Zbl 1045.15012
Ledoux, Michel
10
2003
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
41
2002
Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071
Ledoux, M.; Lyons, T.; Qian, Z.
22
2002
Self-interacting diffusions. Zbl 1042.60060
Benaïm, Michel; Ledoux, Michel; Raimond, Olivier
18
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
491
2001
Hypercontractivity of Hamilton-Jacobi equations. Zbl 1038.35020
Bobkov, Sergey G.; Gentil, Ivan; Ledoux, Michel
136
2001
Logarithmic Sobolev inequalities for unbounded spin systems revisited. Zbl 0979.60096
Ledoux, M.
31
2001
The geometry of Markov diffusion generators. Zbl 0980.60097
Ledoux, Michel
88
2000
Paneitz-type operators and applications. Zbl 0998.58009
Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel
75
2000
From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities. Zbl 0969.26019
Bobkov, S. G.; Ledoux, M.
68
2000
On logarithmic Sobolev inequalities for continuous time random walks on graphs. Zbl 0964.60063
Ané, Cécile; Ledoux, Michel
13
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
118
1999
On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025
Ledoux, M.
20
1999
33rd Seminar on probability. Zbl 0924.00016
Azéma, Jacques (ed.); Émery, Michel (ed.); Ledoux, Michel (ed.); Yor, Marc (ed.)
2
1999
On Gaussian-like large deviations by functional methods. 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.
28
1998
A short proof of the Gaussian isoperimetric inequality. Zbl 0913.60013
Ledoux, Michel
12
1998
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution. Zbl 0878.60014
Bobkov, S.; Ledoux, M.
53
1997
Martingale representation and a simple proof of logarithmic Sobolev inequalities on path spaces. Zbl 0890.60045
Capitaine, Mireille; Hsu, Elton P.; Ledoux, Michel
44
1997
Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052
Bakry, D.; Concordet, D.; Ledoux, M.
12
1997
Isoperimetry and Gaussian analysis. Zbl 0874.60005
Ledoux, Michel
96
1996
Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011
Bakry, D.; Ledoux, M.
82
1996
On Talagrand’s deviation inequalities for product measures. Zbl 0869.60013
Ledoux, Michel
81
1996
Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071
Bakry, D.; Ledoux, M.
43
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.
92
1995
The Lie algebra of iterated gradients of a Markov generator – variance and entropy expansions. Zbl 0842.60075
Ledoux, M.
17
1995
Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter. Zbl 0836.60074
Ledoux, M.
16
1995
A simple analytic proof of an inequality by P. Buser. Zbl 0812.58093
Ledoux, M.
36
1994
Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. Zbl 0841.49024
Ledoux, Michel
16
1994
Hölder norms and the support theorem for diffusions. Zbl 0814.60075
Ben Arous, Gérard; Gradinaru, Mihai; Ledoux, Michel
15
1994
Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample. Zbl 0826.53035
Coulhon, Thierry; Ledoux, Michel
13
1994
Freidlin-Wentzell large deviations in Hölder norm. 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. Zbl 0809.60021
Ledoux, Michel
4
1993
The Lie algebra of iterated gradients of a Markov generator. 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
36
1992
On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions. Zbl 0759.60079
Ledoux, M.
19
1992
A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold. Zbl 0752.53039
Ledoux, M.
4
1992
Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004
Ledoux, Michel; Talagrand, Michel
805
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 remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold. Zbl 0711.53037
Ledoux, M.
4
1990
A note on large deviations for Wiener chaos. Zbl 0701.60020
Ledoux, Michel
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.
10
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
2
1988
Extreme values and the law of the iterated logarithm. Zbl 0586.60009
Kuelbs, J.; Ledoux, M.
8
1987
Conditions d’intégrabilité pour les multiplicateurs dans le TLC banachique. (Integrability conditions for multiplicators in the central limit theorem in Banach spaces). Zbl 0593.60009
Ledoux, Michel; Talagrand, Michel
6
1986
Extreme values and a Gaussian central limit theorem. Zbl 0586.60017
Kuelbs, J.; Ledoux, M.
4
1986
The law of the iterated logarithm in uniformly convex Banach spaces. Zbl 0592.60008
Ledoux, Michel
2
1986
La loi du logarithme itéré dans les espaces de Banach (The law of the iterated logarithm in Banach spaces). Zbl 0589.60005
Ledoux, Michel; Talagrand, Michel
2
1986
La loi du logarithme itéré dans les espaces de Banach uniformément convexes (The law of the iterated logarithm in uniformly convex Banach spaces). Zbl 0584.60011
Ledoux, Michel
2
1985
...and 11 more Documents
all top 5

Cited by 2,605 Authors

57 Wang, Feng-Yu
38 Ledoux, Michel
34 Bobkov, Sergey Germanovich
33 Mendelson, Shahar
23 Guillin, Arnaud
21 Milman, Emanuel
20 Dolbeault, Jean
19 Giné-Masdéu, Evarist
18 Gentil, Ivan
18 Talagrand, Michel
17 Ambrosio, Luigi
16 Gozlan, Nathael
16 Roberto, Cyril
16 Saloff-Coste, Laurent
16 Vershynin, Roman
15 Baudoin, Fabrice
15 Chafaï, Djalil
15 Wu, Liming
14 Barthe, Franck
14 Chen, Pingyan
14 Götze, Friedrich W.
14 Li, Deli
14 Van de Geer, Sara Anna
13 Adamczak, Radosław
13 Bakry, Dominique
13 Gao, Fuqing
13 Latała, Rafał
13 Lecué, Guillaume
13 Lugosi, Gábor
12 Friz, Peter Karl
12 Kolesnikov, Alexander V.
12 Otto, Felix
12 Paouris, Grigoris
12 Tropp, Joel A.
11 Arcones, Miguel A.
11 Bogachev, Vladimir Igorevich
11 Cattiaux, Patrick
11 Ding, Jian
11 Eldan, Ronen
11 Kuelbs, James D.
11 Račkauskas, Alfredas Yurgevich
11 Rosalsky, Andrew
10 Aida, Shigeki
10 Bolley, François
10 Bonnefont, Michel
10 Houdré, Christian
10 Kolchinskiĭ, Vladimir I’ich
10 Kuwada, Kazumasa
10 Li, Wenbo V.
10 Li, Xiang-Dong
10 Rauhut, Holger
10 Röckner, Michael
10 Rudelson, Mark
10 Samson, Paul-Marie
10 Shao, Jinghai
10 Shao, Qi-Man
10 Tetali, Prasad
10 Wainwright, Martin J.
10 Zinn, Joel
9 Chtioui, Hichem
9 Coulhon, Thierry
9 El Karoui, Noureddine
9 Esteban, Maria J.
9 Fathi, Max
9 Funano, Kei
9 Ma, Yutao
9 Miclo, Laurent
9 Mossel, Elchanan
9 van Neerven, Jan M. A. M.
9 Veraar, Mark C.
9 Villani, Cédric
9 Zhang, Zhengliang
8 Bednorz, Witold Marek
8 Benaïm, Michel
8 Caputo, Pietro
8 Guédon, Olivier
8 Heinrich, Stefan
8 Inahama, Yuzuru
8 Junge, Marius
8 Klartag, Bo’az
8 Mason, David M.
8 Massart, Pascal
8 Nickl, Richard
8 Nourdin, Ivan
8 Ohta, Shin-ichi
8 Paulauskas, Vygantas Ionovič
8 Savaré, Giuseppe
8 Sturm, Karl-Theodor
8 Volodin, Andrei I.
8 Wu, Bo
8 Zeitouni, Ofer
8 Zhang, Li-Xin
7 Boucheron, Stéphane Vincent
7 Ceccon, Jurandir
7 Dedecker, Jérôme
7 Eichelsbacher, Peter
7 Fang, Shizan
7 Hu, Tienchung
7 Ivanisvili, Paata
7 Lehec, Joseph
...and 2,505 more Authors
all top 5

Cited in 363 Serials

151 Journal of Functional Analysis
136 The Annals of Probability
126 Probability Theory and Related Fields
106 Stochastic Processes and their Applications
80 Statistics & Probability Letters
75 The Annals of Statistics
66 Journal of Theoretical Probability
54 Journal of Mathematical Analysis and Applications
52 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
52 Bernoulli
47 Potential Analysis
42 Communications in Mathematical Physics
41 Advances in Mathematics
41 The Annals of Applied Probability
39 Proceedings of the American Mathematical Society
37 Transactions of the American Mathematical Society
36 Electronic Journal of Statistics
33 Journal de Mathématiques Pures et Appliquées. Neuvième Série
32 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
31 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
31 Comptes Rendus. Mathématique. Académie des Sciences, Paris
29 Israel Journal of Mathematics
28 Journal of Multivariate Analysis
27 Calculus of Variations and Partial Differential Equations
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Electronic Journal of Probability
23 Journal of Mathematical Sciences (New York)
22 Journal of Mathematical Physics
21 The Journal of Geometric Analysis
21 Acta Mathematica Sinica. English Series
19 Journal of Differential Equations
19 Applied and Computational Harmonic Analysis
18 Journal of Statistical Physics
17 Journal of Complexity
15 Mathematische Annalen
15 Stochastic Analysis and Applications
15 Bulletin des Sciences Mathématiques
14 Journal of Statistical Planning and Inference
14 Mathematische Zeitschrift
14 Geometric and Functional Analysis. GAFA
13 Journal of Machine Learning Research (JMLR)
12 Lithuanian Mathematical Journal
12 Revista Matemática Iberoamericana
11 Duke Mathematical Journal
11 Journal of Approximation Theory
11 Infinite Dimensional Analysis, Quantum Probability and Related Topics
11 Science China. Mathematics
10 Mathematical Notes
10 Manuscripta Mathematica
10 Acta Applicandae Mathematicae
10 The Journal of Fourier Analysis and Applications
10 Foundations of Computational Mathematics
9 Communications on Pure and Applied Mathematics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Inventiones Mathematicae
9 Communications in Partial Differential Equations
9 Discrete and Continuous Dynamical Systems
9 Frontiers of Mathematics in China
8 Memoirs of the American Mathematical Society
8 Journal of the European Mathematical Society (JEMS)
8 Communications in Contemporary Mathematics
8 Stochastics and Dynamics
8 Communications on Pure and Applied Analysis
7 Journal für die Reine und Angewandte Mathematik
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Electronic Communications in Probability
7 Complex Variables and Elliptic Equations
6 Journal of Applied Probability
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 Differential Geometry and its Applications
6 Annals of Mathematics. Second Series
6 Random Matrices: Theory and Applications
6 Information and Inference
5 Studia Mathematica
5 Mathematics of Computation
5 Annals of the Institute of Statistical Mathematics
5 Monatshefte für Mathematik
5 Results in Mathematics
5 Theoretical Computer Science
5 Neural Computation
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Linear Algebra and its Applications
5 SIAM Journal on Mathematical Analysis
5 Mathematical Programming. Series A. Series B
5 SIAM Journal on Optimization
5 Combinatorics, Probability and Computing
5 Annales Mathématiques Blaise Pascal
5 Journal of Nonparametric Statistics
5 Annales Henri Poincaré
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Analysis and Geometry in Metric Spaces
5 Annales Henri Lebesgue
4 Advances in Applied Probability
4 Journal d’Analyse Mathématique
...and 263 more Serials
all top 5

Cited in 55 Fields

1,599 Probability theory and stochastic processes (60-XX)
415 Statistics (62-XX)
348 Partial differential equations (35-XX)
298 Functional analysis (46-XX)
296 Global analysis, analysis on manifolds (58-XX)
229 Differential geometry (53-XX)
201 Operator theory (47-XX)
166 Real functions (26-XX)
148 Statistical mechanics, structure of matter (82-XX)
123 Numerical analysis (65-XX)
118 Linear and multilinear algebra; matrix theory (15-XX)
112 Measure and integration (28-XX)
98 Computer science (68-XX)
97 Convex and discrete geometry (52-XX)
96 Information and communication theory, circuits (94-XX)
86 Calculus of variations and optimal control; optimization (49-XX)
68 Dynamical systems and ergodic theory (37-XX)
65 Harmonic analysis on Euclidean spaces (42-XX)
63 Combinatorics (05-XX)
62 Quantum theory (81-XX)
58 Operations research, mathematical programming (90-XX)
44 Difference and functional equations (39-XX)
36 Abstract harmonic analysis (43-XX)
33 Ordinary differential equations (34-XX)
32 Approximations and expansions (41-XX)
28 Potential theory (31-XX)
26 Topological groups, Lie groups (22-XX)
24 Special functions (33-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Systems theory; control (93-XX)
21 Biology and other natural sciences (92-XX)
19 Functions of a complex variable (30-XX)
15 General topology (54-XX)
14 Fluid mechanics (76-XX)
11 Several complex variables and analytic spaces (32-XX)
7 Integral equations (45-XX)
7 Mechanics of particles and systems (70-XX)
6 Number theory (11-XX)
6 Algebraic topology (55-XX)
6 Manifolds and cell complexes (57-XX)
5 Mathematical logic and foundations (03-XX)
5 Algebraic geometry (14-XX)
5 Group theory and generalizations (20-XX)
5 Geometry (51-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Integral transforms, operational calculus (44-XX)
3 History and biography (01-XX)
3 Nonassociative rings and algebras (17-XX)
3 Mechanics of deformable solids (74-XX)
3 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 Associative rings and algebras (16-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)

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