## Cattiaux, Patrick

Compute Distance To:
 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)

### 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 1146.60058
Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud
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
2008
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Zbl 1118.26014
Barthe, Frank; Cattiaux, Patrick; Roberto, Cyril
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
2009
Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031
Cattiaux, P.; Guillin, A.; Malrieu, F.
2008
Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047
Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud
2012
Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007
Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming
2009
On quadratic transportation cost inequalities. Zbl 1118.58017
Cattiaux, Patrick; Guillin, Arnaud
2006
Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039
Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril
2010
Isoperimetry between exponential and Gaussian. Zbl 1132.26005
Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril
2007
Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. Zbl 1202.92082
Cattiaux, Patrick; Méléard, Sylvie
2010
Concentration for independent random variables with heavy tails. Zbl 1094.60010
Barthe, F.; Cattiaux, P.; Roberto, C.
2005
Hypoelliptic non-homogeneous diffusions. Zbl 1009.60058
Cattiaux, Patrick; Mesnager, Laurent
2002
Poincaré inequalities and hitting times. Zbl 1270.26018
Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André
2013
A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
2010
Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011
Cattiaux, Patrick; Guillin, Arnaud
2008
Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010
Cattiaux, P.; Gentil, I.; Guillin, A.
2007
Semi log-concave Markov diffusions. Zbl 1390.60286
Cattiaux, P.; Guillin, A.
2014
Minimization of the Kullback information of diffusion processes. Zbl 0790.60032
Cattiaux, Patrick; Léonard, Christian
1994
Hypercontractivity for perturbed diffusion semigroups. Zbl 1089.60520
Cattiaux, Patrick
2005
A pathwise approach of some classical inequalities. Zbl 1050.47041
Cattiaux, Patrick
2004
Stochastic Cucker-Smale models: old and new. Zbl 1402.60071
Cattiaux, Patrick; Delebecque, Fanny; Pédèches, Laure
2018
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.
1996
Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015
Cattiaux, Patrick; Guillin, Arnaud
2017
Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
2011
Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065
Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen
2019
Entropy, reversible diffusion processes and Markov uniqueness. Zbl 0863.60074
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 0715.60064
Cattiaux, Patrick
1990
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
1986
Estimation for stochastic damping Hamiltonian systems under partial observation. I: Invariant density. Zbl 1279.62082
Cattiaux, Patrick; León, José R.; Prieur, Clémentine
2014
Large deviations and Nelson processes. Zbl 0817.60021
Cattiaux, Patrick; Léonard, Christian
1995
The 2-D stochastic Keller-Segel particle model: existence and uniqueness. Zbl 1343.60122
Pédèches, Laure; Cattiaux, Patrick
2016
Poincaré inequality and the $$L^{p}$$ convergence of semi-groups. Zbl 1223.26037
Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril
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 0790.60048
Cattiaux, Patrick
1991
Trends to equilibrium in total variation distance. Zbl 1202.26028
Cattiaux, Patrick; Guillin, Arnaud
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 0637.60092
Cattiaux, Patrick
1987
Stochastic calculus and degenerate boundary value problems. Zbl 0780.35023
Cattiaux, Patrick
1992
On the Poincaré constant of log-concave measures. Zbl 1453.60049
Cattiaux, Patrick; Guillin, Arnaud
2020
Large deviations and variational theorems for marginal problems. Zbl 0922.60029
Cattiaux, Patrick; Gamboa, Fabrice
1999
Functional inequalities via Lyapunov conditions. Zbl 1338.46043
Cattiaux, Patrick; Guillin, Arnaud
2014
Estimation for stochastic damping Hamiltonian systems under partial observation. II: Drift term. Zbl 1346.62066
Cattiaux, P.; León, Jose; Prieur, Clémentine
2014
Minimization of the Kullback information for some Markov processes. Zbl 0863.60073
Cattiaux, P.; Léonard, C.
1996
Existence of a quasi-Markov Nash equilibrium for non-zero sum Markov stopping games. Zbl 0704.60040
Cattiaux, P.; Lepeltier, J. P.
1990
Limit theorems for some functionals with heavy tails of a discrete time Markov chain. Zbl 1328.60093
Cattiaux, Patrick; Manou-Abi, Mawaki
2014
Correction to: Minimization of the Kullback information of diffusion processes. Zbl 0830.60067
Cattiaux, P.; Léonard, C.
1995
Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111
Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine
2019
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
2008
Time reversal of diffusion processes with a boundary condition. Zbl 0652.60083
Cattiaux, Patrick
1988
Long time behavior of Markov processes. Zbl 1338.60177
Cattiaux, Patrick
2014
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.
2017
Estimation for stochastic damping Hamiltonian systems under partial observation. III: Diffusion term. Zbl 1343.62047
Cattiaux, Patrick; León, José R.; Prieur, Clémentine
2016
Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468
Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien
2010
Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018
Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent
2018
Recursive estimation for stochastic damping Hamiltonian systems. Zbl 1326.62083
Cattiaux, P.; León, José R.; Prieur, C.
2015
Invariant density estimation for a reflected diffusion using an Euler scheme. Zbl 1370.60132
Cattiaux, Patrick; León, José R.; Prieur, Clémentine
2017
Long time behavior of stochastic hard ball systems. Zbl 1336.60108
Cattiaux, Patrick; Fradon, Myriam; Kulik, Alexei M.; Roelly, Sylvie
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
2022
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
2022
On the Poincaré constant of log-concave measures. Zbl 1453.60049
Cattiaux, Patrick; Guillin, Arnaud
2020
Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065
Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen
2019
Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case. Zbl 1420.35111
Cattiaux, Patrick; Nasreddine, Elissar; Puel, Marjolaine
2019
Stochastic Cucker-Smale models: old and new. Zbl 1402.60071
Cattiaux, Patrick; Delebecque, Fanny; Pédèches, Laure
2018
Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018
Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent
2018
Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015
Cattiaux, Patrick; Guillin, Arnaud
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.
2017
Invariant density estimation for a reflected diffusion using an Euler scheme. Zbl 1370.60132
Cattiaux, Patrick; León, José R.; Prieur, Clémentine
2017
The 2-D stochastic Keller-Segel particle model: existence and uniqueness. Zbl 1343.60122
Pédèches, Laure; Cattiaux, Patrick
2016
Estimation for stochastic damping Hamiltonian systems under partial observation. III: Diffusion term. Zbl 1343.62047
Cattiaux, Patrick; León, José R.; Prieur, Clémentine
2016
Long time behavior of stochastic hard ball systems. Zbl 1336.60108
Cattiaux, Patrick; Fradon, Myriam; Kulik, Alexei M.; Roelly, Sylvie
2016
Recursive estimation for stochastic damping Hamiltonian systems. Zbl 1326.62083
Cattiaux, P.; León, José R.; Prieur, C.
2015
Semi log-concave Markov diffusions. Zbl 1390.60286
Cattiaux, P.; Guillin, A.
2014
Estimation for stochastic damping Hamiltonian systems under partial observation. I: Invariant density. Zbl 1279.62082
Cattiaux, Patrick; León, José R.; Prieur, Clémentine
2014
Functional inequalities via Lyapunov conditions. Zbl 1338.46043
Cattiaux, Patrick; Guillin, Arnaud
2014
Estimation for stochastic damping Hamiltonian systems under partial observation. II: Drift term. Zbl 1346.62066
Cattiaux, P.; León, Jose; Prieur, Clémentine
2014
Limit theorems for some functionals with heavy tails of a discrete time Markov chain. Zbl 1328.60093
Cattiaux, Patrick; Manou-Abi, Mawaki
2014
Long time behavior of Markov processes. Zbl 1338.60177
Cattiaux, Patrick
2014
Poincaré inequalities and hitting times. Zbl 1270.26018
Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André
2013
Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047
Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud
2012
Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
2011
Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039
Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril
2010
Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinction. Zbl 1202.92082
Cattiaux, Patrick; Méléard, Sylvie
2010
A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
2010
Poincaré inequality and the $$L^{p}$$ convergence of semi-groups. Zbl 1223.26037
Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril
2010
Asymptotic analysis and diffusion limit of the Persistent Turning Walker model. Zbl 1194.35468
Cattiaux, Patrick; Chafaï, Djalil; Motsch, Sébastien
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
2009
Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007
Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming
2009
Trends to equilibrium in total variation distance. Zbl 1202.26028
Cattiaux, Patrick; Guillin, Arnaud
2009
Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058
Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud
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
2008
Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031
Cattiaux, P.; Guillin, A.; Malrieu, F.
2008
Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011
Cattiaux, Patrick; Guillin, Arnaud
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
2008
Isoperimetry between exponential and Gaussian. Zbl 1132.26005
Barthe, Franck; Cattiaux, Patrick; Roberto, Cyril
2007
Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010
Cattiaux, P.; Gentil, I.; Guillin, A.
2007
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Zbl 1118.26014
Barthe, Frank; Cattiaux, Patrick; Roberto, Cyril
2006
On quadratic transportation cost inequalities. Zbl 1118.58017
Cattiaux, Patrick; Guillin, Arnaud
2006
Concentration for independent random variables with heavy tails. Zbl 1094.60010
Barthe, F.; Cattiaux, P.; Roberto, C.
2005
Hypercontractivity for perturbed diffusion semigroups. Zbl 1089.60520
Cattiaux, Patrick
2005
A pathwise approach of some classical inequalities. Zbl 1050.47041
Cattiaux, Patrick
2004
Hypoelliptic non-homogeneous diffusions. Zbl 1009.60058
Cattiaux, Patrick; Mesnager, Laurent
2002
Large deviations and variational theorems for marginal problems. Zbl 0922.60029
Cattiaux, Patrick; Gamboa, Fabrice
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.
1996
Entropy, reversible diffusion processes and Markov uniqueness. Zbl 0863.60074
1996
Minimization of the Kullback information for some Markov processes. Zbl 0863.60073
Cattiaux, P.; Léonard, C.
1996
Large deviations and Nelson processes. Zbl 0817.60021
Cattiaux, Patrick; Léonard, Christian
1995
Correction to: Minimization of the Kullback information of diffusion processes. Zbl 0830.60067
Cattiaux, P.; Léonard, C.
1995
Minimization of the Kullback information of diffusion processes. Zbl 0790.60032
Cattiaux, Patrick; Léonard, Christian
1994
Stochastic calculus and degenerate boundary value problems. Zbl 0780.35023
Cattiaux, Patrick
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
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
1990
Existence of a quasi-Markov Nash equilibrium for non-zero sum Markov stopping games. Zbl 0704.60040
Cattiaux, P.; Lepeltier, J. P.
1990
Time reversal of diffusion processes with a boundary condition. Zbl 0652.60083
Cattiaux, Patrick
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
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
1986
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
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### 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)