Edit Profile (opens in new tab) Cattiaux, Patrick Compute Distance To: Compute Author ID: cattiaux.patrick Published as: Cattiaux, Patrick; Cattiaux, P. External Links: MGP Documents Indexed: 62 Publications since 1986 Co-Authors: 43 Co-Authors with 53 Joint Publications 883 Co-Co-Authors all top 5 Co-Authors 9 single-authored 23 Guillin, Arnaud 6 León, José Rafael R. 6 Prieur, Clémentine 5 Roberto, Cyril 4 Barthe, Franck 4 Léonard, Christian 4 Roelly, Sylvie 4 Wu, Liming 2 Bakry, Dominique 2 Chafaï, Djalil 2 Fradon, Myriam 2 Gozlan, Nathael 2 Méléard, Sylvie 2 Pédèches, Laure 1 Boissard, Emmnuel 1 Centeno, A. A. Pineda 1 Collet, Pierre 1 Colombani, Laetitia 1 Costa, Manon 1 Dai Pra, Paolo 1 Delebecque, Fanny 1 Fathi, Max 1 Fischer, Jens V. 1 Gamboa, Fabrice 1 Gentil, Ivan 1 Kulik, Alexey M. 1 Lambert, Amaury 1 Lepeltier, Jean-Pierre 1 Malrieu, Florent 1 Manou-Abi, Mawaki 1 Martinez Aguilera, Servet 1 Mesnager, Laurent 1 Miclo, Laurent 1 Monmarché, Pierre 1 Motsch, Sébastien 1 Nasreddine, Elissar 1 Puel, Marjolaine 1 San Martín, Jaime 1 Sindayigaya, Samuel 1 Wang, Feng-Yu 1 Zessin, Hans N. 1 Zhang, Chaoen 1 Zitt, Pierre-André all top 5 Serials 5 Journal of Functional Analysis 5 Probability Theory and Related Fields 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Stochastic Processes and their Applications 3 Bernoulli 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Bulletin des Sciences Mathématiques. Deuxième Série 2 The Annals of Applied Probability 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Electronic Journal of Probability 2 Electronic Communications in Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Mathematical Biology 1 Stochastics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Indiana University Mathematics Journal 1 Journal of Applied Probability 1 SIAM Journal on Control and Optimization 1 Statistics 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Forum Mathematicum 1 Stochastics and Stochastics Reports 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Monte Carlo Methods and Applications 1 Journal of Nonparametric Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Acta Mathematica Sinica. English Series 1 AMRX. Applied Mathematics Research eXpress 1 Kinetic and Related Models all top 5 Fields 60 Probability theory and stochastic processes (60-XX) 17 Operator theory (47-XX) 15 Real functions (26-XX) 11 Partial differential equations (35-XX) 8 Statistics (62-XX) 4 Difference and functional equations (39-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 57 Publications have been cited 963 times in 555 Documents Cited by ▼ Year ▼ Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud 108 2008 A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud 78 2008 Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Zbl 1118.26014Barthe, Frank; Cattiaux, Patrick; Roberto, Cyril 66 2006 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 61 2009 Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031Cattiaux, P.; Guillin, A.; Malrieu, F. 55 2008 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 32 2012 Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming 29 2009 On quadratic transportation cost inequalities. Zbl 1118.58017Cattiaux, Patrick; Guillin, Arnaud 28 2006 Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril 27 2010 Isoperimetry between exponential and Gaussian. Zbl 1132.26005Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril 25 2007 Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. Zbl 1202.92082Cattiaux, Patrick; Méléard, Sylvie 25 2010 Concentration for independent random variables with heavy tails. Zbl 1094.60010Barthe, F.; Cattiaux, P.; Roberto, C. 25 2005 Hypoelliptic non-homogeneous diffusions. Zbl 1009.60058Cattiaux, Patrick; Mesnager, Laurent 23 2002 Poincaré inequalities and hitting times. Zbl 1270.26018Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André 21 2013 A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 21 2010 Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011Cattiaux, Patrick; Guillin, Arnaud 21 2008 Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010Cattiaux, P.; Gentil, I.; Guillin, A. 21 2007 Semi log-concave Markov diffusions. Zbl 1390.60286Cattiaux, P.; Guillin, A. 20 2014 Minimization of the Kullback information of diffusion processes. Zbl 0790.60032Cattiaux, Patrick; Léonard, Christian 17 1994 Hypercontractivity for perturbed diffusion semigroups. Zbl 1089.60520Cattiaux, Patrick 17 2005 A pathwise approach of some classical inequalities. Zbl 1050.47041Cattiaux, Patrick 16 2004 Stochastic Cucker-Smale models: old and new. Zbl 1402.60071Cattiaux, Patrick; Delebecque, Fanny; Pédèches, Laure 15 2018 A Gibson approach to infinite-dimensional Brownian diffusions. (Une approche gibbsienne des diffusions browniennes infini-dimensionnelles.) Zbl 0838.60068Cattiaux, P.; Roelly, S.; Zessin, H. 14 1996 Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015Cattiaux, Patrick; Guillin, Arnaud 12 2017 Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 11 2011 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 11 2019 Entropy, reversible diffusion processes and Markov uniqueness. Zbl 0863.60074Cattiaux, Patrick; Fradon, Myriam 11 1996 Calcul stochastique et opérateurs dégénérés du second ordre. I: Résolvantes, théorème de Hörmander et applications. (Stochastic calculus and degenerated second order operators. I: Resolvents, theorem of Hörmander and applications). Zbl 0715.60064Cattiaux, Patrick 11 1990 Hypoellipticité et hypoellipticité partielle pour les diffusions avec une condition frontière (Hypoellipticity and partial hypoellipticity for diffusions with a boundary condition). Zbl 0595.60059Cattiaux, Patrick 11 1986 Estimation for stochastic damping Hamiltonian systems under partial observation. I: Invariant density. Zbl 1279.62082Cattiaux, Patrick; León, José R.; Prieur, Clémentine 10 2014 Large deviations and Nelson processes. Zbl 0817.60021Cattiaux, Patrick; Léonard, Christian 10 1995 The 2-D stochastic Keller-Segel particle model: existence and uniqueness. Zbl 1343.60122Pédèches, Laure; Cattiaux, Patrick 9 2016 Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril 8 2010 Stochastic calculus and degenerated operators of second order II: Dirichlet problem. (Calcul stochastique et opérateurs dégénérés du second ordre. II: Problème de Dirichlet.) Zbl 0790.60048Cattiaux, Patrick 8 1991 Trends to equilibrium in total variation distance. Zbl 1202.26028Cattiaux, Patrick; Guillin, Arnaud 7 2009 Régularité au bord pour les densités et les densités conditionnelles d’une diffusion réflechie hypoélliptique. (Regularity at boundary for the densities and conditional densities of a hypoelliptic reflected diffusion). Zbl 0637.60092Cattiaux, Patrick 7 1987 Stochastic calculus and degenerate boundary value problems. Zbl 0780.35023Cattiaux, Patrick 6 1992 On the Poincaré constant of log-concave measures. Zbl 1453.60049Cattiaux, Patrick; Guillin, Arnaud 6 2020 Large deviations and variational theorems for marginal problems. Zbl 0922.60029Cattiaux, Patrick; Gamboa, Fabrice 6 1999 Functional inequalities via Lyapunov conditions. Zbl 1338.46043Cattiaux, Patrick; Guillin, Arnaud 6 2014 Estimation for stochastic damping Hamiltonian systems under partial observation. II: Drift term. Zbl 1346.62066Cattiaux, P.; León, Jose; Prieur, Clémentine 5 2014 Minimization of the Kullback information for some Markov processes. Zbl 0863.60073Cattiaux, P.; Léonard, C. 5 1996 Existence of a quasi-Markov Nash equilibrium for non-zero sum Markov stopping games. Zbl 0704.60040Cattiaux, P.; Lepeltier, J. P. 5 1990 Limit theorems for some functionals with heavy tails of a discrete time Markov chain. Zbl 1328.60093Cattiaux, Patrick; Manou-Abi, Mawaki 5 2014 Correction to: Minimization of the Kullback information of diffusion processes. Zbl 0830.60067Cattiaux, P.; Léonard, C. 4 1995 Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine 4 2019 A constructive approach to a class of ergodic HJB equations with unbounded and nonsmooth cost. Zbl 1179.47039Cattiaux, Patrick; Pra, Paolo Dai; Rœlly, Sylvie 3 2008 Time reversal of diffusion processes with a boundary condition. Zbl 0652.60083Cattiaux, Patrick 3 1988 Long time behavior of Markov processes. Zbl 1338.60177Cattiaux, Patrick 3 2014 An overlook on statistical inference issues for stochastic damping Hamiltonian systems under the fluctuation-dissipation condition. Zbl 1378.62048Cattiaux, P.; León, J. R.; Centeno, A. A. Pineda; Prieur, C. 3 2017 Estimation for stochastic damping Hamiltonian systems under partial observation. III: Diffusion term. Zbl 1343.62047Cattiaux, Patrick; León, José R.; Prieur, Clémentine 2 2016 Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien 1 2010 Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent 1 2018 Recursive estimation for stochastic damping Hamiltonian systems. Zbl 1326.62083Cattiaux, P.; León, José R.; Prieur, C. 1 2015 Invariant density estimation for a reflected diffusion using an Euler scheme. Zbl 1370.60132Cattiaux, Patrick; León, José R.; Prieur, Clémentine 1 2017 Long time behavior of stochastic hard ball systems. Zbl 1336.60108Cattiaux, Patrick; Fradon, Myriam; Kulik, Alexei M.; Roelly, Sylvie 1 2016 Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud 1 2022 Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud 1 2022 On the Poincaré constant of log-concave measures. Zbl 1453.60049Cattiaux, Patrick; Guillin, Arnaud 6 2020 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 11 2019 Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine 4 2019 Stochastic Cucker-Smale models: old and new. Zbl 1402.60071Cattiaux, Patrick; Delebecque, Fanny; Pédèches, Laure 15 2018 Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent 1 2018 Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015Cattiaux, Patrick; Guillin, Arnaud 12 2017 An overlook on statistical inference issues for stochastic damping Hamiltonian systems under the fluctuation-dissipation condition. Zbl 1378.62048Cattiaux, P.; León, J. R.; Centeno, A. A. Pineda; Prieur, C. 3 2017 Invariant density estimation for a reflected diffusion using an Euler scheme. Zbl 1370.60132Cattiaux, Patrick; León, José R.; Prieur, Clémentine 1 2017 The 2-D stochastic Keller-Segel particle model: existence and uniqueness. Zbl 1343.60122Pédèches, Laure; Cattiaux, Patrick 9 2016 Estimation for stochastic damping Hamiltonian systems under partial observation. III: Diffusion term. Zbl 1343.62047Cattiaux, Patrick; León, José R.; Prieur, Clémentine 2 2016 Long time behavior of stochastic hard ball systems. Zbl 1336.60108Cattiaux, Patrick; Fradon, Myriam; Kulik, Alexei M.; Roelly, Sylvie 1 2016 Recursive estimation for stochastic damping Hamiltonian systems. Zbl 1326.62083Cattiaux, P.; León, José R.; Prieur, C. 1 2015 Semi log-concave Markov diffusions. Zbl 1390.60286Cattiaux, P.; Guillin, A. 20 2014 Estimation for stochastic damping Hamiltonian systems under partial observation. I: Invariant density. Zbl 1279.62082Cattiaux, Patrick; León, José R.; Prieur, Clémentine 10 2014 Functional inequalities via Lyapunov conditions. Zbl 1338.46043Cattiaux, Patrick; Guillin, Arnaud 6 2014 Estimation for stochastic damping Hamiltonian systems under partial observation. II: Drift term. Zbl 1346.62066Cattiaux, P.; León, Jose; Prieur, Clémentine 5 2014 Limit theorems for some functionals with heavy tails of a discrete time Markov chain. Zbl 1328.60093Cattiaux, Patrick; Manou-Abi, Mawaki 5 2014 Long time behavior of Markov processes. Zbl 1338.60177Cattiaux, Patrick 3 2014 Poincaré inequalities and hitting times. Zbl 1270.26018Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André 21 2013 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 32 2012 Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 11 2011 Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril 27 2010 Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. Zbl 1202.92082Cattiaux, Patrick; Méléard, Sylvie 25 2010 A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 21 2010 Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril 8 2010 Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien 1 2010 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 61 2009 Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming 29 2009 Trends to equilibrium in total variation distance. Zbl 1202.26028Cattiaux, Patrick; Guillin, Arnaud 7 2009 Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud 108 2008 A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud 78 2008 Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031Cattiaux, P.; Guillin, A.; Malrieu, F. 55 2008 Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011Cattiaux, Patrick; Guillin, Arnaud 21 2008 A constructive approach to a class of ergodic HJB equations with unbounded and nonsmooth cost. Zbl 1179.47039Cattiaux, Patrick; Pra, Paolo Dai; Rœlly, Sylvie 3 2008 Isoperimetry between exponential and Gaussian. Zbl 1132.26005Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril 25 2007 Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010Cattiaux, P.; Gentil, I.; Guillin, A. 21 2007 Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Zbl 1118.26014Barthe, Frank; Cattiaux, Patrick; Roberto, Cyril 66 2006 On quadratic transportation cost inequalities. Zbl 1118.58017Cattiaux, Patrick; Guillin, Arnaud 28 2006 Concentration for independent random variables with heavy tails. Zbl 1094.60010Barthe, F.; Cattiaux, P.; Roberto, C. 25 2005 Hypercontractivity for perturbed diffusion semigroups. Zbl 1089.60520Cattiaux, Patrick 17 2005 A pathwise approach of some classical inequalities. Zbl 1050.47041Cattiaux, Patrick 16 2004 Hypoelliptic non-homogeneous diffusions. Zbl 1009.60058Cattiaux, Patrick; Mesnager, Laurent 23 2002 Large deviations and variational theorems for marginal problems. Zbl 0922.60029Cattiaux, Patrick; Gamboa, Fabrice 6 1999 A Gibson approach to infinite-dimensional Brownian diffusions. (Une approche gibbsienne des diffusions browniennes infini-dimensionnelles.) Zbl 0838.60068Cattiaux, P.; Roelly, S.; Zessin, H. 14 1996 Entropy, reversible diffusion processes and Markov uniqueness. Zbl 0863.60074Cattiaux, Patrick; Fradon, Myriam 11 1996 Minimization of the Kullback information for some Markov processes. Zbl 0863.60073Cattiaux, P.; Léonard, C. 5 1996 Large deviations and Nelson processes. Zbl 0817.60021Cattiaux, Patrick; Léonard, Christian 10 1995 Correction to: Minimization of the Kullback information of diffusion processes. Zbl 0830.60067Cattiaux, P.; Léonard, C. 4 1995 Minimization of the Kullback information of diffusion processes. Zbl 0790.60032Cattiaux, Patrick; Léonard, Christian 17 1994 Stochastic calculus and degenerate boundary value problems. Zbl 0780.35023Cattiaux, Patrick 6 1992 Stochastic calculus and degenerated operators of second order II: Dirichlet problem. (Calcul stochastique et opérateurs dégénérés du second ordre. II: Problème de Dirichlet.) Zbl 0790.60048Cattiaux, Patrick 8 1991 Calcul stochastique et opérateurs dégénérés du second ordre. I: Résolvantes, théorème de Hörmander et applications. (Stochastic calculus and degenerated second order operators. I: Resolvents, theorem of Hörmander and applications). Zbl 0715.60064Cattiaux, Patrick 11 1990 Existence of a quasi-Markov Nash equilibrium for non-zero sum Markov stopping games. Zbl 0704.60040Cattiaux, P.; Lepeltier, J. P. 5 1990 Time reversal of diffusion processes with a boundary condition. Zbl 0652.60083Cattiaux, Patrick 3 1988 Régularité au bord pour les densités et les densités conditionnelles d’une diffusion réflechie hypoélliptique. (Regularity at boundary for the densities and conditional densities of a hypoelliptic reflected diffusion). Zbl 0637.60092Cattiaux, Patrick 7 1987 Hypoellipticité et hypoellipticité partielle pour les diffusions avec une condition frontière (Hypoellipticity and partial hypoellipticity for diffusions with a boundary condition). Zbl 0595.60059Cattiaux, Patrick 11 1986 all cited Publications top 5 cited Publications all top 5 Cited by 669 Authors 40 Guillin, Arnaud 30 Cattiaux, Patrick 11 Bolley, François 11 Dolbeault, Jean 11 Gentil, Ivan 11 Wang, Jian 10 Stoltz, Gabriel 10 Villemonais, Denis 10 Wang, Feng-Yu 9 Röckner, Michael 9 Tugaut, Julian 9 Wu, Liming 8 Bogachev, Vladimir Igorevich 8 Fathi, Max 8 León, José Rafael R. 8 Roberto, Cyril 7 Barthe, Franck 7 Champagnat, Nicolas 7 Del Moral, Pierre 7 Gozlan, Nathael 7 Prieur, Clémentine 6 Cianchi, Andrea 6 Hening, Alexandru 6 Malrieu, Florent 6 Roelly, Sylvie 6 Sarantsev, Andrey 6 Strauch, Claudia 6 Zegarlinski, Boguslaw 5 Durmus, Alain 5 Eberle, Andreas 5 Fontbona, Joaquin 5 He, Guoman 5 Kolesnikov, Alexander V. 5 Lelièvre, Tony 5 Martín, Joaquim 5 Méléard, Sylvie 5 Miclo, Laurent 5 Monmarché, Pierre 5 Pavliotis, Grigorios A. 5 Pick, Luboš 5 Schlichting, André 5 Shaposhnikov, Stanislav V. 5 Zhang, Zhengliang 4 Baudoin, Fabrice 4 Bonnefont, Michel 4 Bouin, Emeric 4 Chen, Xin 4 Duncan, Andrew B. 4 Gobet, Emmanuel 4 Joulin, Aldéric 4 Léonard, Christian 4 Li, Lei 4 Ma, Yutao 4 Milman, Mario Marcos 4 Mouhot, Clément 4 Schmeiser, Christian 4 Toscani, Giuseppe 4 Zhang, Chaoen 4 Zhang, Hanjun 4 Zitt, Pierre-André 3 Ahn, Hyunjin 3 Arnaudon, Marc 3 Chafaï, Djalil 3 Choi, Young-Pil 3 Collet, Pierre 3 Conforti, Giovanni 3 Crisan, Dan O. 3 Dereudre, David 3 Fournier, Nicolas 3 Gamboa, Fabrice 3 Grothaus, Martin 3 Ha, Seung-Yeal 3 Jabin, Pierre-Emmanuel 3 Jin, Shi 3 Jourdain, Benjamin 3 Krylov, Nicolaĭ Vladimirovich 3 Kulik, Alexey M. 3 Lafleche, Laurent 3 Liu, Wei 3 Liu, Yuan 3 Löcherbach, Eva 3 Mao, Yonghua 3 Mehta, Prashant G. 3 Menozzi, Stéphane 3 Meyn, Sean P. 3 Milman, Emanuel 3 Mischler, Stéphane 3 Nguyen, Dang Hai 3 Pal, Soumik 3 Panloup, Fabien 3 Polunchenko, Aleksey S. 3 Qi, Weiwei 3 Reygner, Julien 3 Samson, Adeline 3 Samson, Paul-Marie 3 Tardif, Camille 3 Wang, Xinyu 3 Wang, Zhenfu 3 Yi, Yingfei 3 Zimmer, Raphael ...and 569 more Authors all top 5 Cited in 153 Serials 45 Stochastic Processes and their Applications 36 Journal of Functional Analysis 28 Probability Theory and Related Fields 26 The Annals of Applied Probability 21 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 15 The Annals of Probability 15 Statistics & Probability Letters 14 Potential Analysis 13 Journal of Statistical Physics 12 Bernoulli 11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Electronic Journal of Probability 9 Journal of Mathematical Biology 9 Kinetic and Related Models 8 Acta Applicandae Mathematicae 7 Communications in Mathematical Physics 7 Journal of Theoretical Probability 6 Journal of Mathematical Analysis and Applications 6 Journal of Applied Probability 6 Discrete and Continuous Dynamical Systems 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Archive for Rational Mechanics and Analysis 5 Journal of Mathematical Physics 5 Transactions of the American Mathematical Society 5 Revista Matemática Iberoamericana 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Advances in Applied Probability 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Control and Optimization 4 Stochastic Analysis and Applications 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Mathematical Sciences (New York) 4 Annales Mathématiques Blaise Pascal 4 Electronic Communications in Probability 4 Stochastics 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 4 SIAM/ASA Journal on Uncertainty Quantification 3 Theory of Probability and its Applications 3 Advances in Mathematics 3 The Annals of Statistics 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Journal of Nonlinear Science 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Communications on Pure and Applied Analysis 2 Journal of Computational Physics 2 Mathematical Notes 2 Bulletin of Mathematical Biology 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Multivariate Analysis 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 SIAM Journal on Mathematical Analysis 2 Theory of Probability and Mathematical Statistics 2 Doklady Mathematics 2 Statistical Inference for Stochastic Processes 2 Acta Mathematica Sinica. English Series 2 Annales Henri Poincaré 2 Brazilian Journal of Probability and Statistics 2 Journal of Evolution Equations 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Frontiers of Mathematics in China 2 SIAM Journal on Imaging Sciences 2 International Journal of Biomathematics 2 Science China. Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Annales Henri Lebesgue 2 Foundations of Data Science 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Physica A 1 Studia Mathematica 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Calcolo 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Semigroup Forum 1 Statistics 1 Sequential Analysis 1 Mathematical and Computer Modelling 1 Queueing Systems 1 Journal of Scientific Computing 1 Forum Mathematicum ...and 53 more Serials all top 5 Cited in 42 Fields 420 Probability theory and stochastic processes (60-XX) 142 Partial differential equations (35-XX) 90 Statistical mechanics, structure of matter (82-XX) 73 Operator theory (47-XX) 59 Real functions (26-XX) 56 Numerical analysis (65-XX) 51 Statistics (62-XX) 50 Biology and other natural sciences (92-XX) 46 Dynamical systems and ergodic theory (37-XX) 36 Functional analysis (46-XX) 35 Global analysis, analysis on manifolds (58-XX) 21 Difference and functional equations (39-XX) 20 Measure and integration (28-XX) 19 Systems theory; control (93-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Ordinary differential equations (34-XX) 13 Fluid mechanics (76-XX) 7 Convex and discrete geometry (52-XX) 7 Differential geometry (53-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 5 Mechanics of particles and systems (70-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) Citations by Year