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hal-01898372v1  Preprints, Working Papers, ...
Patrick Cattiaux, Arnaud Guillin. ON THE POINCARÉ CONSTANT OF LOG-CONCAVE MEASURES
2018
hal-01930376v1  Journal articles
Patrick Cattiaux, Laure Pédèches. The 2-D stochastic Keller-Segel particle model: existence and uniqueness.
ALEA (Latin American Journal of Probability and Statistics), 2016, 13 (1), pp.447-463
hal-00629506v1  Journal articles
Patrick Cattiaux, Arnaud Guillin, Li-Ming Wu. A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
Probability Theory and Related Fields, Springer Verlag, 2010, 148 (1-2), pp.285-304. ⟨10.1007/s00440-009-0231-9⟩
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hal-00805299v1  Book sections
Patrick Cattiaux, Arnaud Guillin. Semi Log-Concave Markov Diffusions
Séminaire de probabilités XLVI, 2123, Springer, pp 231-292, 2014, Lecture notes in mathematics
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hal-01263156v1  Preprints, Working Papers, ...
Patrick Cattiaux, Laure Pédèches. The 2-D stochastic Keller-Segel particle model : existence and uniqueness
2016
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hal-02418658v1  Preprints, Working Papers, ...
Patrick Cattiaux, Arnaud Guillin, Liming Wu. POINCARÉ AND LOGARITHMIC SOBOLEV INEQUALITIES FOR NEARLY RADIAL MEASURES
2019
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hal-00002203v3  Preprints, Working Papers, ...
Franck Barthe, Patrick Cattiaux, Cyril Roberto. Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry.
2004
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hal-00585271v1  Journal articles
Patrick Cattiaux, Djalil Chafai, Arnaud Guillin. Central limit theorems for additive functionals of ergodic Markov diffusions processes
ALEA : Latin American Journal of Probability and Mathematical Statistics, Instituto Nacional de Matemática Pura e Aplicada, 2012, 9 (2), pp.337-382
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hal-00004959v1  Preprints, Working Papers, ...
Franck Barthe, Patrick Cattiaux, Cyril Roberto. Concentration for independent random variables with heavy tails
2005
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hal-00017377v2  Preprints, Working Papers, ...
Franck Barthe, Patrick Cattiaux, Cyril Roberto. Isoperimetry between exponential and Gaussian
2007
hal-01930389v1  Book sections
Emmanuel Boissard, Patrick Cattiaux, Arnaud Guillin, Laurent Miclo. Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain.
Séminaire de Probabilités XLIX., 2215, Springer, pp.1-55, 2018, Lecture Notes in Mathematics, ⟨10.1007/978-3-319-92420-5_1⟩
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hal-01071252v1  Journal articles
Patrick Cattiaux, José R. Leon, Clémentine Prieur. Recursive Estimation for Stochastic Damping Hamiltonian Systems
Journal of Nonparametric Statistics, American Statistical Association, 2015, 27 (3), pp.401-424. ⟨10.1080/10485252.2015.1046451⟩
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hal-00021591v1  Journal articles
Patrick Cattiaux, Arnaud Guillin, Florent Malrieu. Probabilistic approach for granular media equations in the non uniformly convex case.
Probability Theory and Related Fields, Springer Verlag, 2008, 140 (1-2), pp.19-40
hal-01930395v1  Journal articles
Patrick Cattiaux, Myriam Fradon, Alexei Kulik, Sylvie Roelly. Long time behavior of stochastic hard ball systems
Bernoulli, Bernoulli Society for Mathematical Statistics and Probability, 2016, 22 (2), pp.681 - 710. ⟨10.3150/14-BEJ672⟩
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hal-01683980v1  Journal articles
Patrick Cattiaux, Clémentine Prieur, Jose R. Leon. Invariant density estimation for a reflected diffusion using an Euler scheme
Monte Carlo Methods and Applications, De Gruyter, 2017, 23 (2), pp.71-88. ⟨10.1515/mcma-2017-0104⟩
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hal-01571610v1  Journal articles
Patrick Cattiaux, Arnaud Guillin, Pierre Monmarché, Chaoen Zhang. Entropic multipliers method for langevin diffusion and weighted log sobolev inequalities
Journal of Functional Analysis, Elsevier, 2019, 277 (11), ⟨10.1016/j.jfa.2019.108288⟩
hal-00666808v1  Journal articles
Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang, Liming Wu. Lyapunov conditions for Super Poincaré inequalities
Journal of Functional Analysis, Elsevier, 2009, 256 (6), pp.1821-1841. ⟨10.1016/j.jfa.2009.01.003⟩
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hal-00336156v1  Journal articles
Patrick Cattiaux, Sylvie Méléard. COMPETITIVE OR WEAK COOPERATIVE STOCHASTIC LOTKA-VOLTERRA SYSTEMS CONDITIONED TO NON-EXTINCTION
Journal of Mathematical Biology, Springer Verlag (Germany), 2010, 60 (6), pp.797-829. ⟨10.1007/s00285-009-0285-4⟩
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hal-00136208v1  Preprints, Working Papers, ...
Dominique Bakry, Patrick Cattiaux, Arnaud Guillin. Rate of Converrgence for ergodic continuous Markov processes : Lyapunov versus Poincare.
2007
hal-01930399v1  Journal articles
Patrick Cattiaux. Long time behavior of Markov processes
ESAIM: Proceedings, EDP Sciences, 2014, 44, pp.110 - 128. ⟨10.1051/proc/201444006⟩
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hal-00136779v1  Journal articles
Patrick Cattiaux, Arnaud Guillin. TRENDS TO EQUILIBRIUM IN TOTAL VARIATION DISTANCE
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2009, 45 (1), pp.117-145. ⟨10.1214/07-AIHP152⟩
hal-00631417v1  Journal articles
Franck Barthe, Patrick Cattiaux, Cyril Roberto. Isoperimetry between exponential and Gaussian
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2007, 12 (44), pp.1212-1237
hal-00666780v1  Journal articles
Patrick Cattiaux, Nathael Gozlan, Arnaud Guillin, Cyril Roberto. Functional inequalities for heavy tailed distributions and application to isoperimetry
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2010, 15 (13), pp.346-385
hal-00634523v1  Journal articles
Dominique Bakry, Franck Barthe, Patrick Cattiaux, Arnaud Guillin. A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case
Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2008, 13, pp.60-66
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hal-02063824v1  Journal articles
Patrick Cattiaux, Mawaki Manou-Abi. LIMIT THEOREMS FOR SOME FUNCTIONALS WITH HEAVY TAILS OF A DISCRETE TIME MARKOV CHAIN
ESAIM: Probability and Statistics, EDP Sciences, In press, ESAIM-PS, 18, pp.468-482. ⟨10.1051/ps/2013043⟩
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hal-01826717v2  Journal articles
Patrick Cattiaux, Fanny Delebecque, Laure Pédèches. STOCHASTIC CUCKER-SMALE MODELS: OLD AND NEW
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2018, 28 (5), pp.3239-3286. ⟨10.1214/18-AAP1400⟩
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hal-00193261v1  Journal articles
Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang, Liming Wu. Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality
Journal of Functional Analysis, Elsevier, 2009, 256 (6), pp.1821-1841

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