Edit Profile (opens in new tab) Cattiaux, Patrick Co-Author Distance Author ID: cattiaux.patrick Published as: Cattiaux, Patrick; Cattiaux, P. External Links: MGP Documents Indexed: 69 Publications since 1986, including 4 Additional arXiv Preprints Co-Authors: 44 Co-Authors with 60 Joint Publications 1,030 Co-Co-Authors all top 5 Co-Authors 9 single-authored 27 Guillin, Arnaud 6 León, José Rafael R. 6 Léonard, Christian 6 Prieur, Clémentine 5 Roberto, Cyril 5 Wu, Liming 4 Barthe, Franck 4 Roelly, Sylvie 2 Bakry, Dominique 2 Chafaï, Djalil 2 Colombani, Laetitia 2 Costa, Manon 2 Fradon, Myriam 2 Gentil, Ivan 2 Gozlan, Nathael 2 Méléard, Sylvie 2 Miclo, Laurent 2 Pédèches, Laure 2 Wang, Feng-Yu 1 Boissard, Emmanuel 1 Boissard, Emmnuel 1 Centeno, A. A. Pineda 1 Collet, Pierre 1 Conforti, Giovanni 1 Dai Pra, Paolo 1 Delebecque, Fanny 1 Fathi, Max 1 Gamboa, Fabrice 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 Monmarché, Pierre 1 Motsch, Sébastien 1 Nasreddine, Elissar 1 Puel, Marjolaine 1 San Martín, Jaime 1 Sindayigaya, Samuel 1 Zessin, Hans N. 1 Zhang, Chaoen 1 Zitt, Pierre-André all top 5 Serials 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Functional Analysis 5 Probability Theory and Related Fields 5 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 Gazette des Mathématiciens 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 64 Probability theory and stochastic processes (60-XX) 19 Operator theory (47-XX) 16 Real functions (26-XX) 11 Partial differential equations (35-XX) 8 Statistics (62-XX) 5 Biology and other natural sciences (92-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-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 59 Publications have been cited 1,088 times in 645 Documents Cited by ▼ Year ▼ Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058 Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud 123 2008 A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011 Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud 86 2008 Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Zbl 1118.26014 Barthe, Frank; Cattiaux, Patrick; Roberto, Cyril 72 2006 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041 Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 71 2009 Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031 Cattiaux, P.; Guillin, A.; Malrieu, F. 64 2008 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047 Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 36 2012 Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039 Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril 31 2010 Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007 Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming 30 2009 Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. Zbl 1202.92082 Cattiaux, Patrick; Méléard, Sylvie 30 2010 On quadratic transportation cost inequalities. Zbl 1118.58017 Cattiaux, Patrick; Guillin, Arnaud 29 2006 Concentration for independent random variables with heavy tails. Zbl 1094.60010 Barthe, F.; Cattiaux, P.; Roberto, C. 26 2005 Isoperimetry between exponential and Gaussian. Zbl 1132.26005 Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril 26 2007 Semi log-concave Markov diffusions. Zbl 1390.60286 Cattiaux, P.; Guillin, A. 26 2014 Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011 Cattiaux, Patrick; Guillin, Arnaud 25 2008 Poincaré inequalities and hitting times. Zbl 1270.26018 Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André 25 2013 A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024 Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 23 2010 Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010 Cattiaux, P.; Gentil, I.; Guillin, A. 22 2007 Hypoelliptic non-homogeneous diffusions. Zbl 1009.60058 Cattiaux, Patrick; Mesnager, Laurent 21 2002 Stochastic Cucker-Smale models: old and new. Zbl 1402.60071 Cattiaux, Patrick; Delebecque, Fanny; Pédèches, Laure 21 2018 Hypercontractivity for perturbed diffusion semigroups. Zbl 1089.60520 Cattiaux, Patrick 18 2005 Minimization of the Kullback information of diffusion processes. Zbl 0790.60032 Cattiaux, Patrick; Léonard, Christian 18 1994 A pathwise approach of some classical inequalities. Zbl 1050.47041 Cattiaux, Patrick 16 2004 A Gibson approach to infinite-dimensional Brownian diffusions. (Une approche gibbsienne des diffusions browniennes infini-dimensionnelles.) Zbl 0838.60068 Cattiaux, P.; Roelly, S.; Zessin, H. 14 1996 Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015 Cattiaux, Patrick; Guillin, Arnaud 14 2017 Entropy, reversible diffusion processes and Markov uniqueness. Zbl 0863.60074 Cattiaux, Patrick; Fradon, Myriam 13 1996 Hypoellipticité et hypoellipticité partielle pour les diffusions avec une condition frontière (Hypoellipticity and partial hypoellipticity for diffusions with a boundary condition). Zbl 0595.60059 Cattiaux, Patrick 13 1986 The 2-D stochastic Keller-Segel particle model: existence and uniqueness. Zbl 1343.60122 Pédèches, Laure; Cattiaux, Patrick 13 2016 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065 Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 13 2019 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 0715.60064 Cattiaux, Patrick 12 1990 Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017 Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 11 2011 Estimation for stochastic damping Hamiltonian systems under partial observation. I: Invariant density. Zbl 1279.62082 Cattiaux, Patrick; León, José R.; Prieur, Clémentine 11 2014 Large deviations and Nelson processes. Zbl 0817.60021 Cattiaux, Patrick; Léonard, Christian 10 1995 Stochastic calculus and degenerate boundary value problems. Zbl 0780.35023 Cattiaux, Patrick 10 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 0790.60048 Cattiaux, Patrick 9 1991 Functional inequalities via Lyapunov conditions. Zbl 1338.46043 Cattiaux, Patrick; Guillin, Arnaud 9 2014 Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037 Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril 8 2010 Large deviations and variational theorems for marginal problems. Zbl 0922.60029 Cattiaux, Patrick; Gamboa, Fabrice 8 1999 On the Poincaré constant of log-concave measures. Zbl 1453.60049 Cattiaux, Patrick; Guillin, Arnaud 8 2020 Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111 Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine 8 2019 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 0637.60092 Cattiaux, Patrick 7 1987 Trends to equilibrium in total variation distance. Zbl 1202.26028 Cattiaux, Patrick; Guillin, Arnaud 7 2009 Minimization of the Kullback information for some Markov processes. Zbl 0863.60073 Cattiaux, P.; Léonard, C. 6 1996 Existence of a quasi-Markov Nash equilibrium for non-zero sum Markov stopping games. Zbl 0704.60040 Cattiaux, P.; Lepeltier, J. P. 5 1990 Estimation for stochastic damping Hamiltonian systems under partial observation. II: Drift term. Zbl 1346.62066 Cattiaux, P.; León, Jose; Prieur, Clémentine 5 2014 Limit theorems for some functionals with heavy tails of a discrete time Markov chain. Zbl 1328.60093 Cattiaux, Patrick; Manou-Abi, Mawaki 5 2014 Time reversal of diffusion processes with a boundary condition. Zbl 0652.60083 Cattiaux, Patrick 4 1988 Correction to: Minimization of the Kullback information of diffusion processes. Zbl 0830.60067 Cattiaux, P.; Léonard, C. 4 1995 A constructive approach to a class of ergodic HJB equations with unbounded and nonsmooth cost. Zbl 1179.47039 Cattiaux, Patrick; Pra, Paolo Dai; Rœlly, Sylvie 3 2008 Long time behavior of Markov processes. Zbl 1338.60177 Cattiaux, Patrick 3 2014 Invariant density estimation for a reflected diffusion using an Euler scheme. Zbl 1370.60132 Cattiaux, Patrick; León, José R.; Prieur, Clémentine 3 2017 An overlook on statistical inference issues for stochastic damping Hamiltonian systems under the fluctuation-dissipation condition. Zbl 1378.62048 Cattiaux, 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 1343.62047 Cattiaux, Patrick; León, José R.; Prieur, Clémentine 2 2016 Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324 Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud 2 2022 Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468 Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien 1 2010 Recursive estimation for stochastic damping Hamiltonian systems. Zbl 1326.62083 Cattiaux, P.; León, José R.; Prieur, C. 1 2015 Long time behavior of stochastic hard ball systems. Zbl 1336.60108 Cattiaux, Patrick; Fradon, Myriam; Kulik, Alexei M.; Roelly, Sylvie 1 2016 Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018 Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent 1 2018 Limit theorems for Hawkes processes including inhibition. Zbl 1490.60118 Cattiaux, Patrick; Colombani, Laetitia; Costa, Manon 1 2022 Asymptotic deviation bounds for cumulative processes. Zbl 1520.60017 Cattiaux, Patrick; Colombani, Laetitia; Costa, Manon 1 2023 Asymptotic deviation bounds for cumulative processes. Zbl 1520.60017 Cattiaux, Patrick; Colombani, Laetitia; Costa, Manon 1 2023 Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324 Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud 2 2022 Limit theorems for Hawkes processes including inhibition. Zbl 1490.60118 Cattiaux, Patrick; Colombani, Laetitia; Costa, Manon 1 2022 On the Poincaré constant of log-concave measures. Zbl 1453.60049 Cattiaux, Patrick; Guillin, Arnaud 8 2020 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065 Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 13 2019 Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111 Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine 8 2019 Stochastic Cucker-Smale models: old and new. Zbl 1402.60071 Cattiaux, Patrick; Delebecque, Fanny; Pédèches, Laure 21 2018 Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018 Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent 1 2018 Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015 Cattiaux, Patrick; Guillin, Arnaud 14 2017 Invariant density estimation for a reflected diffusion using an Euler scheme. Zbl 1370.60132 Cattiaux, Patrick; León, José R.; Prieur, Clémentine 3 2017 An overlook on statistical inference issues for stochastic damping Hamiltonian systems under the fluctuation-dissipation condition. Zbl 1378.62048 Cattiaux, P.; León, J. R.; Centeno, A. A. Pineda; Prieur, C. 3 2017 The 2-D stochastic Keller-Segel particle model: existence and uniqueness. Zbl 1343.60122 Pédèches, Laure; Cattiaux, Patrick 13 2016 Estimation for stochastic damping Hamiltonian systems under partial observation. III: Diffusion term. Zbl 1343.62047 Cattiaux, Patrick; León, José R.; Prieur, Clémentine 2 2016 Long time behavior of stochastic hard ball systems. Zbl 1336.60108 Cattiaux, Patrick; Fradon, Myriam; Kulik, Alexei M.; Roelly, Sylvie 1 2016 Recursive estimation for stochastic damping Hamiltonian systems. Zbl 1326.62083 Cattiaux, P.; León, José R.; Prieur, C. 1 2015 Semi log-concave Markov diffusions. Zbl 1390.60286 Cattiaux, P.; Guillin, A. 26 2014 Estimation for stochastic damping Hamiltonian systems under partial observation. I: Invariant density. Zbl 1279.62082 Cattiaux, Patrick; León, José R.; Prieur, Clémentine 11 2014 Functional inequalities via Lyapunov conditions. Zbl 1338.46043 Cattiaux, Patrick; Guillin, Arnaud 9 2014 Estimation for stochastic damping Hamiltonian systems under partial observation. II: Drift term. Zbl 1346.62066 Cattiaux, P.; León, Jose; Prieur, Clémentine 5 2014 Limit theorems for some functionals with heavy tails of a discrete time Markov chain. Zbl 1328.60093 Cattiaux, Patrick; Manou-Abi, Mawaki 5 2014 Long time behavior of Markov processes. Zbl 1338.60177 Cattiaux, Patrick 3 2014 Poincaré inequalities and hitting times. Zbl 1270.26018 Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André 25 2013 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047 Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 36 2012 Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017 Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 11 2011 Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039 Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril 31 2010 Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. Zbl 1202.92082 Cattiaux, Patrick; Méléard, Sylvie 30 2010 A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024 Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 23 2010 Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037 Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril 8 2010 Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468 Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien 1 2010 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041 Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 71 2009 Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007 Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming 30 2009 Trends to equilibrium in total variation distance. Zbl 1202.26028 Cattiaux, Patrick; Guillin, Arnaud 7 2009 Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058 Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud 123 2008 A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011 Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud 86 2008 Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031 Cattiaux, P.; Guillin, A.; Malrieu, F. 64 2008 Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011 Cattiaux, Patrick; Guillin, Arnaud 25 2008 A constructive approach to a class of ergodic HJB equations with unbounded and nonsmooth cost. Zbl 1179.47039 Cattiaux, Patrick; Pra, Paolo Dai; Rœlly, Sylvie 3 2008 Isoperimetry between exponential and Gaussian. Zbl 1132.26005 Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril 26 2007 Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010 Cattiaux, P.; Gentil, I.; Guillin, A. 22 2007 Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Zbl 1118.26014 Barthe, Frank; Cattiaux, Patrick; Roberto, Cyril 72 2006 On quadratic transportation cost inequalities. Zbl 1118.58017 Cattiaux, Patrick; Guillin, Arnaud 29 2006 Concentration for independent random variables with heavy tails. Zbl 1094.60010 Barthe, F.; Cattiaux, P.; Roberto, C. 26 2005 Hypercontractivity for perturbed diffusion semigroups. Zbl 1089.60520 Cattiaux, Patrick 18 2005 A pathwise approach of some classical inequalities. Zbl 1050.47041 Cattiaux, Patrick 16 2004 Hypoelliptic non-homogeneous diffusions. Zbl 1009.60058 Cattiaux, Patrick; Mesnager, Laurent 21 2002 Large deviations and variational theorems for marginal problems. Zbl 0922.60029 Cattiaux, Patrick; Gamboa, Fabrice 8 1999 A Gibson approach to infinite-dimensional Brownian diffusions. (Une approche gibbsienne des diffusions browniennes infini-dimensionnelles.) Zbl 0838.60068 Cattiaux, P.; Roelly, S.; Zessin, H. 14 1996 Entropy, reversible diffusion processes and Markov uniqueness. Zbl 0863.60074 Cattiaux, Patrick; Fradon, Myriam 13 1996 Minimization of the Kullback information for some Markov processes. Zbl 0863.60073 Cattiaux, P.; Léonard, C. 6 1996 Large deviations and Nelson processes. Zbl 0817.60021 Cattiaux, Patrick; Léonard, Christian 10 1995 Correction to: Minimization of the Kullback information of diffusion processes. Zbl 0830.60067 Cattiaux, P.; Léonard, C. 4 1995 Minimization of the Kullback information of diffusion processes. Zbl 0790.60032 Cattiaux, Patrick; Léonard, Christian 18 1994 Stochastic calculus and degenerate boundary value problems. Zbl 0780.35023 Cattiaux, Patrick 10 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 0790.60048 Cattiaux, Patrick 9 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 0715.60064 Cattiaux, Patrick 12 1990 Existence of a quasi-Markov Nash equilibrium for non-zero sum Markov stopping games. Zbl 0704.60040 Cattiaux, P.; Lepeltier, J. P. 5 1990 Time reversal of diffusion processes with a boundary condition. Zbl 0652.60083 Cattiaux, Patrick 4 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 0637.60092 Cattiaux, 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 0595.60059 Cattiaux, Patrick 13 1986 all cited Publications top 5 cited Publications all top 5 Cited by 778 Authors 42 Guillin, Arnaud 31 Cattiaux, Patrick 12 Villemonais, Denis 12 Wang, Jian 11 Bolley, François 11 Dolbeault, Jean 11 Gentil, Ivan 11 Wang, Feng-Yu 10 Stoltz, Gabriel 10 Wu, Liming 9 Champagnat, Nicolas 9 Fathi, Max 9 Roberto, Cyril 9 Röckner, Michael 9 Tugaut, Julian 9 Zegarlinski, Boguslaw 8 Barthe, Franck 8 Bogachev, Vladimir Igorevich 8 Del Moral, Pierre 8 León, José Rafael R. 8 Monmarché, Pierre 8 Pavliotis, Grigorios A. 8 Strauch, Claudia 7 Cianchi, Andrea 7 Gozlan, Nathael 7 Prieur, Clémentine 7 Sarantsev, Andrey 6 Ahn, Hyunjin 6 Hening, Alexandru 6 Kolesnikov, Alexander V. 6 Lelièvre, Tony 6 Malrieu, Florent 6 Martín, Joaquim 6 Pick, Luboš 6 Roelly, Sylvie 5 Bouin, Emeric 5 Eberle, Andreas 5 Fontbona, Joaquin 5 Gobet, Emmanuel 5 Ha, Seung-Yeal 5 He, Guoman 5 Méléard, Sylvie 5 Miclo, Laurent 5 Milman, Emanuel 5 Milman, Mario Marcos 5 Mouhot, Clément 5 Schlichting, André 5 Shaposhnikov, Stanislav V. 5 Zhang, Hanjun 5 Zhang, Zhengliang 4 Baudoin, Fabrice 4 Bonnefont, Michel 4 Chen, Xin 4 Conforti, Giovanni 4 Duncan, Andrew B. 4 Durmus, Alain 4 Jabin, Pierre-Emmanuel 4 Joulin, Aldéric 4 Lacker, Daniel 4 Léonard, Christian 4 Li, Lei 4 Ma, Yutao 4 Pereyra, Marcelo 4 Qi, Weiwei 4 Schmeiser, Christian 4 Tomašević, Milica 4 Toscani, Giuseppe 4 Wang, Zhenfu 4 Yi, Yingfei 4 Zhang, Chaoen 4 Zitt, Pierre-André 3 Arnaudon, Marc 3 Artstein-Avidan, Shiri 3 Bresch, Didier 3 Chafaï, Djalil 3 Choi, Young-Pil 3 Cloez, Bertrand 3 Collet, Pierre 3 Crisan, Dan O. 3 Dereudre, David 3 Dexheimer, Niklas 3 Dobson, Paul W. 3 Fournier, Nicolas 3 Gamboa, Fabrice 3 Grothaus, Martin 3 Herzog, David P. 3 Jin, Shi 3 Jourdain, Benjamin 3 Krylov, Nicolaĭ Vladimirovich 3 Kulik, Alexey M. 3 Lafleche, Laurent 3 Li, Lina 3 Liu, Wei 3 Liu, Yuan 3 Löcherbach, Eva 3 Luçon, Eric 3 Mao, Yonghua 3 Mehta, Prashant G. 3 Menozzi, Stéphane 3 Meyn, Sean P. ...and 678 more Authors all top 5 Cited in 165 Serials 52 Stochastic Processes and their Applications 38 Journal of Functional Analysis 31 Probability Theory and Related Fields 31 The Annals of Applied Probability 25 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 17 Potential Analysis 16 Statistics & Probability Letters 15 The Annals of Probability 15 Bernoulli 13 Journal of Statistical Physics 12 Electronic Journal of Probability 12 Kinetic and Related Models 11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Communications in Mathematical Physics 9 Journal of Mathematical Biology 9 Journal of Theoretical Probability 8 Acta Applicandae Mathematicae 7 Journal of Mathematical Analysis and Applications 7 Journal of Mathematical Physics 7 Journal of Applied Probability 7 Discrete and Continuous Dynamical Systems 6 Archive for Rational Mechanics and Analysis 6 The Annals of Statistics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Advances in Applied Probability 5 Journal of Differential Equations 5 Proceedings of the American Mathematical Society 5 SIAM Journal on Control and Optimization 5 Transactions of the American Mathematical Society 5 Revista Matemática Iberoamericana 5 Annales Mathématiques Blaise Pascal 5 Annales Henri Lebesgue 4 Theory of Probability and its Applications 4 Advances in Mathematics 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 Electronic Communications in Probability 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Stochastics 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 4 SIAM/ASA Journal on Uncertainty Quantification 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Nonlinear Science 3 Theory of Probability and Mathematical Statistics 3 Annales Henri Poincaré 3 Communications on Pure and Applied Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM Journal on Imaging Sciences 3 Stochastic and Partial Differential Equations. Analysis and Computations 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 Bulletin of the London Mathematical Society 2 Journal of Multivariate Analysis 2 Mathematische Nachrichten 2 Physica D 2 Journal of Scientific Computing 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 Journal of Dynamics and Differential Equations 2 Doklady Mathematics 2 Mathematical Finance 2 Statistical Inference for Stochastic Processes 2 Acta Mathematica Sinica. English Series 2 Brazilian Journal of Probability and Statistics 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 2 Networks and Heterogeneous Media 2 International Journal of Biomathematics 2 Science China. Mathematics 2 Foundations of Data Science 2 Probability and Mathematical Physics 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 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation ...and 65 more Serials all top 5 Cited in 45 Fields 487 Probability theory and stochastic processes (60-XX) 168 Partial differential equations (35-XX) 106 Statistical mechanics, structure of matter (82-XX) 82 Operator theory (47-XX) 68 Real functions (26-XX) 65 Biology and other natural sciences (92-XX) 62 Statistics (62-XX) 62 Numerical analysis (65-XX) 54 Dynamical systems and ergodic theory (37-XX) 43 Functional analysis (46-XX) 36 Global analysis, analysis on manifolds (58-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Measure and integration (28-XX) 20 Ordinary differential equations (34-XX) 20 Difference and functional equations (39-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Systems theory; control (93-XX) 15 Fluid mechanics (76-XX) 10 Convex and discrete geometry (52-XX) 9 Computer science (68-XX) 9 Operations research, mathematical programming (90-XX) 8 Differential geometry (53-XX) 7 Potential theory (31-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of particles and systems (70-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year