×
Author ID: cattiaux.patrick Recent zbMATH articles by "Cattiaux, Patrick"
Published as: Cattiaux, Patrick; Cattiaux, P.
External Links: MGP

Publications by Year

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 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