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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

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
Journal de Mathématiques Pures et Appliquées, 2022, 166, pp.1-29. ⟨10.1016/j.matpur.2022.07.003⟩
Article dans une revue hal-02486264v1

Deviation bounds for additive functionals of Markov processes

Patrick Cattiaux , Arnaud Guillin
2006
Pré-publication, Document de travail hal-00020035v1

Long time behavior of Markov processes

Patrick Cattiaux
ESAIM: Proceedings, 2014, 44, pp.110 - 128. ⟨10.1051/proc/201444006⟩
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
Probability Theory and Related Fields, 2010, 148 (1-2), pp.285-304. ⟨10.1007/s00440-009-0231-9⟩
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
Journal of Functional Analysis, 2017, 272 (6), pp.2361-2391. ⟨10.1016/j.jfa.2016.10.003⟩
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
The Annals of Applied Probability, 2018, 28 (5), pp.3239-3286. ⟨10.1214/18-AAP1400⟩
Article dans une revue hal-01826717v2

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
ESAIM: Probability and Statistics, In press, ESAIM-PS, 18, pp.468-482. ⟨10.1051/ps/2013043⟩
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

A constructive approach to a class of ergodic {HJB} equations with unbounded and nonsmooth cost

Patrick Cattiaux , Paolo Dai Pra , Sylvie Roelly
SIAM Journal on Control and Optimization, 2008, 47 (5), pp.2598-2615. ⟨10.1137/070698634⟩
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
Journal of Mathematical Biology, 2010, 60 (6), pp.797-829. ⟨10.1007/s00285-009-0285-4⟩
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
Electronic Journal of Probability, 2010, 15 (13), pp.364-385. ⟨10.1214/EJP.v15-754⟩
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

Long time behavior of stochastic hard ball systems

Patrick Cattiaux , Myriam Fradon , Alexei Kulik , Sylvie Roelly
Bernoulli, 2016, 22 (2), pp.681 - 710. ⟨10.3150/14-BEJ672⟩
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

A note on Talagrand's transportation inequality and logarithmic Sobolev inequality

Patrick Cattiaux , Arnaud Guillin , Li-Ming Wu
Probability Theory and Related Fields, 2010, 148 (1-2), pp.285-304. ⟨10.1007/s00440-009-0231-9⟩
Article dans une revue hal-00629506v1

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

Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincaré

Dominique Bakry , Patrick Cattiaux , Arnaud Guillin
Journal of Functional Analysis, 2008, 254 (3), pp.727-759. ⟨10.1016/j.jfa.2007.11.002⟩
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
Acta Mathematica Sinica English Series, 2022, 38 (8), pp.1377-1398. ⟨10.1007/s10114-022-0501-3⟩
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