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Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model

Patrick Cattiaux , Djalil Chafai , Sébastien Motsch
Asymptotic Analysis, 2010, 67 (1-2), pp.17-31. ⟨10.3233/ASY-2009-0969⟩
Article dans une revue hal-00336405v2
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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

Isoperimetry between exponential and Gaussian

Franck Barthe , Patrick Cattiaux , Cyril Roberto
Electronic Journal of Probability, 2007, 12 (44), pp.1212-1237
Article dans une revue hal-00631417v1
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Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry.

Franck Barthe , Patrick Cattiaux , Cyril Roberto
2004
Pré-publication, Document de travail hal-00002203v3

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

Séminaire de probabilités XLIX

Emmanuel Boissard , Patrick Cattiaux , Arnaud Guillin , Laurent Miclo , Florian Bouguet , et al.
Donati-Martin, Catherine; Lejay, Antoine; Rouault, Alain. Springer, 2215, 2018, Lecture notes in mathematics, ⟨10.1007/978-3-319-92420-5⟩
Ouvrages hal-01931202v1
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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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Concentration for independent random variables with heavy tails

Franck Barthe , Patrick Cattiaux , Cyril Roberto
2005
Pré-publication, Document de travail hal-00004959v1
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Estimation for Stochastic Damping Hamiltonian Systems under Partial Observation. I. Invariant density.

Patrick Cattiaux , Jose R. Leon , Clémentine Prieur
Stochastic Processes and their Applications, 2014, 124 (3), pp.1236-1260. ⟨10.1016/j.spa.2013.10.008⟩
Article dans une revue hal-00739136v2
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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

Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry

F. Barthe , P. Cattiaux , Cyril Roberto
2004
Pré-publication, Document de travail hal-00014138v1
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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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Deviations bounds and conditional principles for thin sets.

Patrick Cattiaux , Nathael Gozlan
2005
Pré-publication, Document de travail hal-00011194v1
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Probabilistic approach for granular media equations in the non uniformly convex case.

Patrick Cattiaux , Arnaud Guillin , Florent Malrieu
Probability Theory and Related Fields, 2008, 140 (1-2), pp.19-40
Article dans une revue hal-00021591v1
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Estimation for stochastic damping Hamiltonian systems under partial observation. III. Diffusion term

Patrick Cattiaux , Jose R. León , Clémentine Prieur
The Annals of Applied Probability, 2016, 26 (3), pp.1581-1619. ⟨10.1214/15-AAP1126⟩
Article dans une revue hal-01044611v1
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Poincaré inequality and the Lp convergence of semi-groups

Patrick Cattiaux , Arnaud Guillin , Cyril Roberto
Electronic Communications in Probability, 2010, 15, pp.270-280
Article dans une revue hal-00461085v2

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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Quasi-stationary distributions and diffusion models in population dynamics

Patrick Cattiaux , Pierre Collet , Amaury Lambert , Servet Martinez , Sylvie Méléard , et al.
2007
Pré-publication, Document de travail hal-00138521v3
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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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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

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
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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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Entropic multipliers method for langevin diffusion and weighted log sobolev inequalities

Patrick Cattiaux , Arnaud Guillin , Pierre Monmarché , Chaoen Zhang
Journal of Functional Analysis, 2019, 277 (11), ⟨10.1016/j.jfa.2019.108288⟩
Article dans une revue hal-01571610v1
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Isoperimetry between exponential and Gaussian

Franck Barthe , Patrick Cattiaux , Cyril Roberto
2007
Pré-publication, Document de travail hal-00017377v2

Lyapunov conditions for Super Poincaré inequalities

Patrick Cattiaux , Arnaud Guillin , Feng-Yu Wang , Liming Wu
Journal of Functional Analysis, 2009, 256 (6), pp.1821-1841. ⟨10.1016/j.jfa.2009.01.003⟩
Article dans une revue istex hal-00666808v1
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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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Central limit theorems for additive functionals of ergodic Markov diffusions processes

Patrick Cattiaux , Djalil Chafai , Arnaud Guillin
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2012, 9 (2), pp.337-382
Article dans une revue hal-00585271v1
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Recursive Estimation for Stochastic Damping Hamiltonian Systems

Patrick Cattiaux , José R. Leon , Clémentine Prieur
Journal of Nonparametric Statistics, 2015, 27 (3), pp.401-424. ⟨10.1080/10485252.2015.1046451⟩
Article dans une revue hal-01071252v1
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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