Dominique Bakry

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All published works
Action Title Year Authors
+ PDF Chat Orthogonal polynomials and diffusion operators 2022 Dominique Bakry
S. Yu. Orevkov
Marguerite Zani
+ Sharp Beckner-type inequalities for Cauchy and spherical distributions 2019 Dominique Bakry
Ivan Gentil
Grégory Scheffer
+ PDF Chat The Markov sequence problem for the Jacobi polynomials and on the simplex 2019 Dominique Bakry
Lamine Mbarki
+ PDF Chat The Markov sequence problem for the Jacobi polynomials and on the simplex * 2018 Dominique Bakry
† L Mbarki
+ PDF Chat Hypergroup properties for the deltoid model 2017 Dominique Bakry
Olfa Zribi
+ PDF Chat The Li-Yau inequality and applications under a curvature-dimension condition 2017 Dominique Bakry
François Bolley
Ivan Gentil
+ PDF Chat The Li–Yau inequality and applications under a curvature-dimension condition 2017 Dominique Bakry
François Bolley
Ivan Gentil
+ PDF Chat Diffusions with polynomial eigenvectors via finite subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> 2016 Dominique Bakry
Xavier Bressaud
+ PDF Chat Curvature dimension bounds on the deltoid model 2016 Dominique Bakry
Olfa Zribi
+ PDF Chat On Harnack inequalities and optimal transportation 2015 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Diffusions with polynomial eigenvectors via finite subgroups of O(3) 2015 Dominique Bakry
Xavier Bressaud
+ Curvature dimension bounds on the deltoid model 2015 Dominique Bakry
Olfa Zribi
+ Hypergroup properties for the deltoid model 2015 Dominique Bakry
Olfa Zribi
+ PDF Chat h-Transforms and Orthogonal Polynomials 2015 Dominique Bakry
Olfa Zribi
+ In Memoriam Marc Yor - Séminaire de Probabilités XLVII 2015 Anna Aksamit
Larbi Alili
Jacques Azéma
Ehsan Azmoodeh
Dominique Bakry
P. Baldi
Pauline Barrieu
Jean Bertoin
Philippe Biane
Philippe Bougerol
+ Diffusions with polynomial eigenvectors via finite subgroups of O(3) 2015 Dominique Bakry
Xavier Bressaud
+ Hypergroup properties for the deltoid model 2015 Dominique Bakry
Olfa Zribi
+ h-Transforms and Orthogonal Polynomials 2015 Dominique Bakry
Olfa Zribi
+ Curvature dimension bounds on the deltoid model 2015 Dominique Bakry
Olfa Zribi
+ PDF Chat Symmetric Diffusions with Polynomial Eigenvectors 2014 Dominique Bakry
+ The Li-Yau inequality and applications under a curvature-dimension condition 2014 Dominique Bakry
François Bolley
Ivan Gentil
+ Symmetric diffusions with polynomial eigenvectors 2014 Dominique Bakry
+ Dyson Processes Associated with Associative Algebras: The Clifford Case 2014 Dominique Bakry
Marguerite Zani
+ Capacity and Isoperimetric-Type Inequalities 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Symmetric Markov Diffusion Operators 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Sobolev Inequalities 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Poincaré Inequalities 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Analysis and Geometry of Markov Diffusion Operators 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Model Examples 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Markov Semigroups 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Optimal Transportation and Functional Inequalities 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Logarithmic Sobolev Inequalities 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ Generalized Functional Inequalities 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
+ PDF Chat Orthogonal polynomials and diffusions operators 2013 Dominique Bakry
S. Yu. Orevkov
Marguerite Zani
+ Random symmetric matrices on Clifford algebras 2013 Dominique Bakry
Marguerite Zani
+ Orthogonal polynomials and diffusion operators 2013 Dominique Bakry
S. Yu. Orevkov
Marguerite Zani
+ PDF Chat Weighted Nash inequalities 2012 Dominique Bakry
François Bolley
Ivan Gentil
Patrick Maheux
+ Markov semigroups at Saint-Flour 2012 Dominique Bakry
Michel Ledoux
Laurent Saloff‐Coste
+ PDF Chat Dimension dependent hypercontractivity for Gaussian kernels 2011 Dominique Bakry
François Bolley
Ivan Gentil
+ PDF Chat Around Nash inequalities 2010 Dominique Bakry
François Bolley
Ivan Gentil
+ Weighted Nash Inequalities 2010 Dominique Bakry
François Bolley
Ivan Gentil
Patrick Maheux
+ Weighted Nash Inequalities 2010 Dominique Bakry
François Bolley
Ivan Gentil
Patrick Maheux
+ On gradient bounds for the heat kernel on the Heisenberg group 2008 Dominique Bakry
Fabrice Baudoin
Michel Bonnefont
Djalil ChafaĂŻ
+ Subelliptic Li-Yau estimates on three dimensional model spaces 2008 Dominique Bakry
Fabrice Baudoin
Michel Bonnefont
Bin Qian
+ PDF Chat A simple proof of the Poincaré inequality for a large class of probability measures 2008 Dominique Bakry
Franck Barthe
Patrick Cattiaux
Arnaud Guillin
+ PDF Chat The Hypergroup Property and Representation of Markov Kernels 2008 Dominique Bakry
Nolwen Huet
+ Lectures on Probability Theory : Ecole d'Ete de Probabilites de Saint-Flour XXII, 1992 2008 Dominique Bakry
Richard D. Gill
S.A Molchanov
Pierre Bernard
+ A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case 2008 Dominique Bakry
Franck Barthe
Patrick Cattiaux
Arnaud Guillin
+ Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré 2007 Dominique Bakry
Patrick Cattiaux
Arnaud Guillin
+ Perturbations of functional inequalities using growth conditions 2007 Dominique Bakry
Michel Ledoux
Feng‐Yu Wang
+ Rate of Converrgence for ergodic continuous Markov processes : Lyapunov versus Poincare 2007 Dominique Bakry
Patrick Cattiaux
Arnaud Guillin
+ PDF Chat A logarithmic Sobolev form of the Li-Yau parabolic inequality 2006 Dominique Bakry
Michel Ledoux
+ The hypergroup property and representation of Markov kernels 2006 Dominique Bakry
Nolwen Huet
+ PDF Chat Volume comparison theorems without Jacobi fields 2005 Dominique Bakry
Zhongmin Qian
+ PDF Chat Extension of Bochner-Lichnérowicz formula on spheres 2005 Dominique Bakry
Abdellatif Bentaleb
+ PDF Chat Functional Inequalities for Markov semigroups 2004 Dominique Bakry
+ Characterization of Markov semigroups on ℝ Associated to Some Families of Orthogonal Polynomials 2003 Dominique Bakry
Olivier Mazet
+ Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature 2000 Dominique Bakry
Zhongmin Qian
+ PDF Chat Harnack inequalities on a manifold with positive or negative Ricci curvature 1999 Dominique Bakry
Zhongmin Qian
+ Statistique de chaßnes de Markov cachées à espace d'états fini. Le cas non stationnaire 1997 Dominique Bakry
Xavier Milhaud
Pierre Vandekerkhove
+ On Harnack estimates for positive solutions of the heat equation on a complete manifold 1997 Dominique Bakry
Zhongmin Qian
+ PDF Chat Optimal heat kernel bounds under logarithmic Sobolev inequalities 1997 Dominique Bakry
Didier Concordet
Michel Ledoux
+ Lïżœvy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator 1996 Dominique Bakry
Michel Ledoux
+ Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator 1996 Dominique Bakry
Michel Ledoux
+ LĂ©vy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator 1996 Dominique Bakry
Michel Ledoux
+ Sur les inégalités GKS 1996 Dominique Bakry
Mireille Echerbault
+ PDF Chat Sobolev inequalities in disguise 1995 Dominique Bakry
Thierry Coulhon
Michel Ledoux
Laurent Saloff‐Coste
+ Lectures on probability theory 1994 École d'Ă©tĂ© de probabilitĂ©s de Saint-Flour
Dominique Bakry
Richard D. Gill
Stanislav Molchanov
Patrick Bernard
+ L'hypercontractivité et son utilisation en théorie des semigroupes 1994 Dominique Bakry
+ PDF Chat Lectures on Probability Theory 1994 Dominique Bakry
Richard D. Gill
Stanislav A. Molchanov
+ InĂ©galitĂ©s de Sobolev faibles : un critĂšre Γ2 1991 Dominique Bakry
+ Weak Sobolev Inequalities 1991 Dominique Bakry
+ Ricci Curvature and Dimension for Diffusion Semigroups 1990 Dominique Bakry
+ The Riesz transforms associated with second order differential operators 1989 Dominique Bakry
+ PDF Chat Sur l'interpolation complexe des semigroupes de diffusion 1989 Dominique Bakry
+ PDF Chat La propriété de sous-harmonicité des diffusions dans les variétés 1988 Dominique Bakry
+ PDF Chat Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée 1987 Dominique Bakry
+ Correction : « Transformation de Riesz pour les semi-groupes symétriques. Seconde partie : étude sous la condition $\Gamma _2\geqq 0$ » 1986 Dominique Bakry
+ Transformations de Riesz pour les semi-groupes symetriques Premiere partie: Etude de la dimension 1 1985 Dominique Bakry
+ PDF Chat Une remarque sur les inegalites de Littlewood-Paley sous l'hypothese Γ2≧0 1985 Dominique Bakry
+ Transformation de Riesz pour les semi-groupes symétriques. Seconde partie : étude sous la condition $\Gamma _2\geqq 0$ 1985 Dominique Bakry
+ PDF Chat Diffusions hypercontractives 1985 Dominique Bakry
Michel Émery
+ Transformations de Riesz pour les semi-groupes symetriques Seconde patrie: Etude sous la condition Γ2≧0 1985 Dominique Bakry
+ PDF Chat Etude probabiliste des transformees de riesz et de l'espace H1 sur les spheres 1984 Dominique Bakry
+ PDF Chat Remarques sur le processus d'Ornstein Uhlenbeck en dimension infinie 1982 Dominique Bakry
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Logarithmic Sobolev Inequalities 1975 Leonard Gross
20
+ Heat Kernels and Spectral Theory 1989 E. B. Davies
18
+ L'hypercontractivité et son utilisation en théorie des semigroupes 1994 Dominique Bakry
16
+ Analysis and Geometry of Markov Diffusion Operators 2013 Dominique Bakry
Ivan Gentil
Michel Ledoux
12
+ PDF Chat On the parabolic kernel of the Schrödinger operator 1986 Peter Li
Shing Tung Yau
12
+ PDF Chat Diffusions hypercontractives 1985 Dominique Bakry
Michel Émery
11
+ Hardy-Littlewood theory for semigroups 1985 N. Th. Varopoulos
9
+ Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities 1999 Sergey G. Bobkov
Friedrich Götze
9
+ Characterization of Markov semigroups on ℝ Associated to Some Families of Orthogonal Polynomials 2003 Dominique Bakry
Olivier Mazet
8
+ PDF Chat Sobolev inequalities in disguise 1995 Dominique Bakry
Thierry Coulhon
Michel Ledoux
Laurent Saloff‐Coste
8
+ PDF Chat Harnack inequalities on a manifold with positive or negative Ricci curvature 1999 Dominique Bakry
Zhongmin Qian
7
+ Functional Inequalities for Empty Essential Spectrum 2000 Feng‐Yu Wang
7
+ Continuity of Solutions of Parabolic and Elliptic Equations 1958 John C. Nash
6
+ Banach Algebras for Jacobi Series and Positivity of a Kernel 1972 George Gasper
6
+ PDF Chat Orthogonal Polynomials of Several Variables 2014 Charles F. Dunkl
Yuan Xu
6
+ Analysis and Geometry on Groups 1993 N. Th. Varopoulos
Laurent Saloff‐Coste
Thierry Coulhon
6
+ Root systems and hypergeometric functions. I 1988 Gerrit Heckman
Eric Opdam
6
+ PDF Chat Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée 1987 Dominique Bakry
6
+ PDF Chat Topics in Optimal Transportation 2003 CĂ©dric Villani
6
+ Hypercontractivity of Hamilton–Jacobi equations 2001 Sergey G. Bobkov
Ivan Gentil
Michel Ledoux
6
+ Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. I 1974 Tom H. Koornwinder
6
+ Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator 1996 Dominique Bakry
Michel Ledoux
6
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
6
+ Positivity and the Convolution Structure for Jacobi Series 1971 George Gasper
6
+ Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere 1982 Carl Mueller
Fred B. Weissler
6
+ PDF Chat The geometry of Markov diffusion generators 2000 Michel Ledoux
6
+ PDF Chat Isoperimetry between exponential and Gaussian 2007 Franck Barthe
Patrick Cattiaux
Cyril Roberto
5
+ PDF Chat Hardy's inequality with weights 1972 Benjamin Muckenhoupt
5
+ PDF Chat Note sur les processus d'Ornstein-Uhlenbeck 1982 P. A. Meyer
5
+ PDF Chat Dimension dependent hypercontractivity for Gaussian kernels 2011 Dominique Bakry
François Bolley
Ivan Gentil
5
+ Hypercontractivity and the Bakry-Emery criterion for compact Lie groups 1986 O. S. Rothaus
5
+ Introduction to Fourier Analysis on Euclidean Spaces. 1971 Elias M. Stein
Guido Weiss
5
+ Optimal Transport: Old and New 2013 CĂ©dric Villani
5
+ PDF Chat A logarithmic Sobolev form of the Li-Yau parabolic inequality 2006 Dominique Bakry
Michel Ledoux
5
+ PDF Chat Orthogonal polynomials in two variables 1967 H. L. Krall
I. M. Sheffer
5
+ Superadditivity of Fisher's information and logarithmic Sobolev inequalities 1991 Eric A. Carlen
5
+ Stochastic Analysis on Manifolds 2002 Elton P. Hsu
5
+ The free Markoff field 1973 Edward Nelson
5
+ PDF Chat Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry 2006 Franck Barthe
Patrick Cattiaux
Cyril Roberto
5
+ PDF Chat Upper Bounds for Symmetric Markov Transition Functions. 1986 Eric A. Carlen
Seiichiro Kusuoka
D. W. Stroock
5
+ Jacobi Polynomials as Spherical Harmonics 1968 B. L. J. Braaksma
B. Meulenbeld
5
+ Nonlinear Analysis on Manifolds. Monge-AmpĂšre Equations 1982 Thierry Aubin
5
+ Logarithmic Sobolev inequalities and contractivity properties of semigroups 1993 Leonard Gross
5
+ Classification des Semi-Groupes de diffusion sur IR associés à une famille de polynÎmes orthogonaux 1997 Olivier Mazet
5
+ PDF Chat Entropies, convexity, and functional inequalities 2004 Djalil ChafaĂŻ
4
+ Harmonic Analysis of Probability Measures on Hypergroups 1995 Walter R. Bloom
Herbert Heyer
4
+ PDF Chat Isoperimetric and Analytic Inequalities for Log-Concave Probability Measures 1999 Sergey G. Bobkov
4
+ PDF Chat Differential-difference operators associated to reflection groups 1989 Charles F. Dunkl
4
+ Inequalities in Fourier Analysis 1975 William Beckner
4
+ PDF Chat Product Formulas and Associated Hypergroups for Orthogonal Polynomials on the Simplex and on a Parabolic Biangle 1997 Tom H. Koornwinder
Alan L. Schwartz
4