Researcher profile · Semantic Scholar

P. Cattiaux

h-index: 29
Works: 84
Citations: 2,714

Most-cited papers

Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincaré
D. Bakry, P. Cattiaux, A. Guillin
2007301 citations Open access
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A simple proof of the Poincaré inequality for a large class of probability measures
D. Bakry, F. Barthe, P. Cattiaux, A. Guillin
2008226 citations Open access
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Probabilistic approach for granular media equations in the non-uniformly convex case
P. Cattiaux, A. Guillin, Florent Malrieu
2006195 citations Open access
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Quasi-stationary distributions and diffusion models in population dynamics
P. Cattiaux, P. Collet, A. Lambert, S. Martínez +2 more
2007179 citations Open access
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Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
F. Barthe, P. Cattiaux, C. Roberto
2004154 citations Open access
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Time reversal of diffusion processes under a finite entropy condition
P. Cattiaux, Giovanni Conforti, I. Gentil, Christian Léonard
2021Annales De L Institut Henri Poincare-probabilites Et Statistiques90 citations Open access
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Competitive or weak cooperative stochastic Lotka–Volterra systems conditioned on non-extinction
P. Cattiaux, S. Méléard
2008Journal of Mathematical Biology90 citations Open access
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Functional Inequalities for Heavy Tailed Distributions and Application to Isoperimetry
P. Cattiaux, N. Gozlan, A. Guillin, C. Roberto
201078 citations Open access
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DEVIATION BOUNDS FOR ADDITIVE FUNCTIONALS OF MARKOV PROCESSES
P. Cattiaux, A. Guillin
200876 citations Open access
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Central limit theorems for additive functionals of ergodic Markov diffusions processes
P. Cattiaux, Djalil CHAFAÏ, A. Guillin
201170 citations
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Lyapunov conditions for Super Poincaré inequalities
P. Cattiaux, A. Guillin, Feng-Yu Wang, Li-Ming Wu
200970 citations Open access
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Semi Log-Concave Markov Diffusions
P. Cattiaux, A. Guillin
201366 citations Open access
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Concentration for independent random variables with heavy tails
F. Barthe, P. Cattiaux, C. Roberto
200560 citations Open access
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On quadratic transportation cost inequalities
P. Cattiaux, A. Guillin
200657 citations Open access
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Erratum / Correction to : “Minimization of the Kullback information of diffusion processes”
P. Cattiaux, C. Léonard
199556 citations
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Poincaré inequalities and hitting times
P. Cattiaux, A. Guillin, P. Zitt
201054 citations Open access
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Isoperimetry between exponential and Gaussian
F. Barthe, P. Cattiaux, C. Roberto
200652 citations Open access
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Hypoelliptic non-homogeneous diffusions
P. Cattiaux, Laurent Mesnager
200251 citations Open access
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Large deviations and Nelson processes
P. Cattiaux, C. Léonard
199543 citations
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Weak logarithmic Sobolev inequalities and entropic convergence
P. Cattiaux, I. Gentil, A. Guillin
200542 citations
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Stochastic Cucker–Smale models: Old and new
P. Cattiaux, Fanny Delebecque, Laure P'edeches
2018The Annals of Applied Probability40 citations Open access
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Entropy, Reversible Diffusion Processes, and Markov Uniqueness
P. Cattiaux, Myriam Fradon
199639 citations Open access
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Hitting times, functional inequalities, lyapunov conditions and uniform ergodicity
P. Cattiaux, A. Guillin
201637 citations Open access
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The 2-D stochastic Keller-Segel particle model : existence and uniqueness
P. Cattiaux, Laure P'edeches
201636 citations Open access
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Stochastic calculus and degenerate boundary value problems
P. Cattiaux
199235 citations Open access
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Hypercontractivity for perturbed diffusion semigroups
P. Cattiaux
200534 citations Open access
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Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems
P. Cattiaux, A. Guillin
2021Bernoulli32 citations Open access
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Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities
P. Cattiaux, A. Guillin, Pierre Monmarch'e, Chao-En Zhang
2017Journal of Functional Analysis32 citations Open access
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Trends to equilibrium in total variation distance
P. Cattiaux, A. Guillin
200729 citations Open access
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Some remarks on weighted logarithmic Sobolev inequality
P. Cattiaux, A. Guillin, Li-Ming Wu
201028 citations Open access
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A Pathwise Approach of Some Classical Inequalities
P. Cattiaux
200427 citations
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Minimization of the Kullback information for some Markov processes
P. Cattiaux, C. Léonard
199627 citations
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Poincar\'e inequality and the Lp convergence of semi-groups
P. Cattiaux, A. Guillin, C. Roberto
201022 citations
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On the Poincaré Constant of Log-Concave Measures
P. Cattiaux, A. Guillin
2018Lecture notes in mathematics21 citations Open access
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Minimization of the Kullback information of diffusion processes
P. Cattiaux, Christian Léonard
199419 citations
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Time reversal of diffusion processes with a boundary condition
P. Cattiaux
198819 citations Open access
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Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: The critical case
P. Cattiaux, E. Nasreddine, M. Puel
2019Kinetic and Related Models18 citations Open access
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Large deviations and variational theorems for marginal problems
P. Cattiaux, F. Gamboa
199917 citations Open access
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Existence of a quasi-markov nash equilibrium for non-zero sum markov stopping games
P. Cattiaux, J. Lepeltier
199017 citations
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Estimation for Stochastic Damping Hamiltonian Systems under Partial Observation. I. Invariant density.
P. Cattiaux, J. León, C. Prieur
201416 citations Open access
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Limit theorems for Hawkes processes including inhibition
P. Cattiaux, L. Colombani, Manon Costa
2021Stochastic Processes and their Applications15 citations Open access
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Limit theorems for some functionals with heavy tails of a discrete time Markov chain
P. Cattiaux, Mawaki Manou-Abi
201415 citations Open access
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A Biased Competition Theory of Cytotoxic T Lymphocyte Interaction with Tumor Nodules
C. Christophe, Sabina Müller, Magda Rodrigues, Anne-Elisabeth Petit +4 more
2015PLoS ONE14 citations Open access
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Long time behavior of Markov processes
P. Cattiaux
201412 citations Open access
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Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds
P. Cattiaux, M. Fathi, A. Guillin
2020Journal des Mathématiques Pures et Appliquées9 citations Open access
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Invariant density estimation for a reflected diffusion using an Euler scheme
P. Cattiaux, J. León, C. Prieur
2017Monte Carlo Methods Appl.9 citations Open access
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Estimation for Stochastic Damping Hamiltonian Systems under Partial Observation. II Drift term
P. Cattiaux, J. R. León, C. Prieur
20149 citations
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Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model
P. Cattiaux, Djalil CHAFAÏ, Sébastien Motsch
2008Asymptotic Analysis9 citations Open access
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Entropy on the path space and application to singular diffusions and mean-field models
P. Cattiaux
20248 citations
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Estimation for stochastic damping Hamiltonian systems under partial observation. III. Diffusion term
P. Cattiaux, J. R. León, C. Prieur
20168 citations Open access
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C. Léonard

×3

D. Bakry×2

I. Gentil×2

Djalil CHAFAÏ×2

Li-Ming Wu×2

J. León×2

Florent Malrieu×1

P. Collet×1