Hypercontractivity for perturbed diffusion semigroups
Patrick Cattiaux
2005
Pré-publication, Document de travail
hal-00011201v1
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Deviations bounds and conditional principles for thin sets.
Patrick Cattiaux
,
Nathael Gozlan
2005
Pré-publication, Document de travail
hal-00011194v1
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A criterion for Talagrand's quadratic transportation cost inequality
Patrick Cattiaux
,
Arnaud Guillin
2003
Pré-publication, Document de travail
hal-00133642v1
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SELF-IMPROVEMENT OF THE BAKRY-EMERY CRITERION FOR POINCARÉ INEQUALITIES AND WASSERSTEIN CONTRACTION USING VARIABLE CURVATURE BOUNDS
Patrick Cattiaux
,
Max Fathi
,
Arnaud Guillin
Article dans une revue
hal-02486264v1
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Deviation bounds for additive functionals of Markov processes
Patrick Cattiaux
,
Arnaud Guillin
2006
Pré-publication, Document de travail
hal-00020035v1
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Long time behavior of Markov processes
Patrick Cattiaux
Article dans une revue
hal-01930399v1
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A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
Patrick Cattiaux
,
Arnaud Guillin
,
Li-Ming Wu
Article dans une revue
hal-00335566v1
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Rate of Converrgence for ergodic continuous Markov processes : Lyapunov versus Poincare.
Dominique Bakry
,
Patrick Cattiaux
,
Arnaud Guillin
2007
Pré-publication, Document de travail
hal-00136208v1
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HITTING TIMES, FUNCTIONAL INEQUALITIES, LYAPUNOV CONDITIONS AND UNIFORM ERGODICITY
Patrick Cattiaux
,
Arnaud Guillin
Article dans une revue
hal-01303903v1
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TRENDS TO EQUILIBRIUM IN TOTAL VARIATION DISTANCE
Patrick Cattiaux
,
Arnaud Guillin
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques , 2009, 45 (1), pp.117-145.
⟨10.1214/07-AIHP152⟩
Article dans une revue
hal-00136779v1
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STOCHASTIC CUCKER-SMALE MODELS: OLD AND NEW
Patrick Cattiaux
,
Fanny Delebecque
,
Laure Pédèches
Article dans une revue
hal-01826717v2
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The 2-D stochastic Keller-Segel particle model: existence and uniqueness.
Patrick Cattiaux
,
Laure Pédèches
ALEA : Latin American Journal of Probability and Mathematical Statistics , 2016, 13 (1), pp.447-463
Article dans une revue
hal-01930376v1
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The 2-D stochastic Keller-Segel particle model : existence and uniqueness
Patrick Cattiaux
,
Laure Pédèches
2016
Pré-publication, Document de travail
hal-01263156v1
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Weak logarithmic Sobolev inequalities and entropic convergence
Patrick Cattiaux
,
Ivan Gentil
,
Arnaud Guillin
Probability Theory and Related Fields , 2007, 139 (3-4), pp.563-603
Article dans une revue
hal-00013700v2
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LIMIT THEOREMS FOR SOME FUNCTIONALS WITH HEAVY TAILS OF A DISCRETE TIME MARKOV CHAIN
Patrick Cattiaux
,
Mawaki Manou-Abi
Article dans une revue
hal-02063824v1
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Some remarks on weighted logarithmic Sobolev inequality
Patrick Cattiaux
,
Arnaud Guillin
,
Liming Wu
Indiana University Mathematics Journal , 2011, 60 (6), pp.1885-1904
Article dans une revue
hal-00485124v1
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A constructive approach to a class of ergodic {HJB} equations with unbounded and nonsmooth cost
Patrick Cattiaux
,
Paolo Dai Pra
,
Sylvie Roelly
Article dans une revue
hal-00634978v1
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Semi Log-Concave Markov Diffusions
Patrick Cattiaux
,
Arnaud Guillin
Séminaire de probabilités XLVI , 2123, Springer, pp 231-292, 2014, Lecture notes in mathematics
Chapitre d'ouvrage
hal-00805299v1
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Functional Inequalities via Lyapunov conditions
Patrick Cattiaux
,
Arnaud Guillin
2010
Pré-publication, Document de travail
hal-00446104v2
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COMPETITIVE OR WEAK COOPERATIVE STOCHASTIC LOTKA-VOLTERRA SYSTEMS CONDITIONED TO NON-EXTINCTION
Patrick Cattiaux
,
Sylvie Méléard
Article dans une revue
hal-00336156v1
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Poincaré inequalities and hitting times
Patrick Cattiaux
,
Arnaud Guillin
,
Pierre-André Zitt
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques , 2013, 49 (1), p. 95-118.
⟨10.1214/11-AIHP447⟩
Article dans une revue
hal-00550125v1
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Functional inequalities for heavy tails distributions and application to isoperimetry
Patrick Cattiaux
,
Nathael Gozlan
,
Arnaud Guillin
,
Cyril Roberto
Article dans une revue
hal-00300766v1
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Ornstein-Uhlenbeck pinball: I. Poincaré inequalities in a punctured domain.
Emmanuel Boissard
,
Patrick Cattiaux
,
Arnaud Guillin
,
Laurent Miclo
Séminaire de Probabilités , 2018, XLIX (2215)
Article dans une revue
hal-00857842v1
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Long time behavior of stochastic hard ball systems
Patrick Cattiaux
,
Myriam Fradon
,
Alexei Kulik
,
Sylvie Roelly
Article dans une revue
hal-01930395v1
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Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality
Patrick Cattiaux
,
Arnaud Guillin
,
Feng-Yu Wang
,
Liming Wu
Journal of Functional Analysis , 2009, 256 (6), pp.1821-1841
Article dans une revue
hal-00193261v1
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A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
Patrick Cattiaux
,
Arnaud Guillin
,
Li-Ming Wu
Article dans une revue
hal-00629506v1
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A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case
Dominique Bakry
,
Franck Barthe
,
Patrick Cattiaux
,
Arnaud Guillin
Electronic Communications in Probability , 2008, 13, pp.60-66
Article dans une revue
hal-00634523v1
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Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincaré
Dominique Bakry
,
Patrick Cattiaux
,
Arnaud Guillin
Article dans une revue
hal-00634524v1
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POINCARÉ AND LOGARITHMIC SOBOLEV INEQUALITIES FOR NEARLY RADIAL MEASURES
Patrick Cattiaux
,
Arnaud Guillin
,
Li Ming Wu
Article dans une revue
hal-02418658v1
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ON THE POINCARÉ CONSTANT OF LOG-CONCAVE MEASURES
Patrick Cattiaux
,
Arnaud Guillin
Geometric Aspects of Functional Analysis , 2256, Springer International Publishing; Springer International Publishing, pp.171-217, 2020, Lecture Notes in Mathematics,
⟨10.1007/978-3-030-36020-7_9⟩
Chapitre d'ouvrage
hal-01898372v1
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