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Author ID: bakry.dominique Recent zbMATH articles by "Bakry, Dominique"
Published as: Bakry, Dominique; Bakry, D.
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 69 Publications since 1979, including 2 Books
3 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 38 Co-Authors with 46 Joint Publications
1,085 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

61 Publications have been cited 2,042 times in 1,338 Documents Cited by Year
Analysis and geometry of Markov diffusion operators. Zbl 1376.60002
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
374
2014
Diffusions hypercontractives. Zbl 0561.60080
Bakry, Dominique; Émery, Michel
260
1985
Hypercontractivity and its usage in semigroup theory. (L’hypercontractivité et son utilisation en théorie des semigroupes.) Zbl 0856.47026
Bakry, Dominique
144
1994
On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. (Sur les inégalités de Sobolev logarithmiques.) Zbl 0982.46026
Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory
139
2000
Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058
Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud
104
2008
Sobolev inequalities in disguise. Zbl 0857.26006
Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L.
102
1995
Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011
Bakry, D.; Ledoux, M.
89
1996
Hypercontractivité de semi-groupes de diffusion (Hypercontractivity for diffusion semi-groups). Zbl 0563.60068
Bakry, Dominique; Emery, Michel
78
1984
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
74
2008
A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024
Bakry, Dominique; Ledoux, Michel
67
2006
Some new results on eigenvectors via dimension, diameter, and Ricci curvature. Zbl 0980.58020
Bakry, Dominique; Qian, Zhongmin
65
2000
Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071
Bakry, D.; Ledoux, M.
52
1996
Volume comparison theorems without Jacobi fields. Zbl 1212.58019
Bakry, Dominique; Qian, Zhongmin
52
2005
Functional inequalities for Markov semigroups. Zbl 1148.60057
Bakry, Dominique
51
2006
On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009
Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil
45
2008
Harnack inequalities on a manifold with positive or negative Ricci curvature. Zbl 0924.58096
Bakry, Dominique; Qian, Zhongmin M.
43
1999
Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée. (Study of Riesz transformations in Riemannian manifolds with Ricci curvature bounded from below). Zbl 0629.58018
Bakry, Dominique
32
1987
Un critère de non-explosion pour certaines diffusions sur une variété riemannienne complète (A non explosion criterion for some diffusions on a complete Riemannian manifold). Zbl 0589.60069
Bakry, Dominique
23
1986
On Harnack inequalities and optimal transportation. Zbl 1331.35151
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
18
2015
Sur la régularité des trajectoires des martingales à deux indices. Zbl 0419.60051
Bakry, D.
17
1979
Remarques sur les semigroupes de Jacobi. Zbl 0859.47026
Bakry, D.
15
1996
Characterization of Markov semigroups on \(\mathbb{R}\) associated to some families of orthogonal polynomials. Zbl 1060.33014
Bakry, Dominique; Mazet, Olivier
14
2003
Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052
Bakry, D.; Concordet, D.; Ledoux, M.
13
1997
The Li-Yau inequality and applications under a curvature-dimension condition. (Inégalité de Li-Yau et applications sous une condition de courbure-dimension.) Zbl 1383.58017
Bakry, Dominique; Bolley, François; Gentil, Ivan
13
2017
Dimension dependent hypercontractivity for Gaussian kernels. Zbl 1408.60068
Bakry, Dominique; Bolley, François; Gentil, Ivan
11
2012
Inégalités de Sobolev pour un semi-groupe symétrique. (Sobolev inequalities for a symmetric semi-group). Zbl 0579.60079
Bakry, Dominique; Emery, Michel
11
1985
Théoremes de section et de projection pour les processus à deux indices. Zbl 0431.60057
Bakry, D.
11
1981
Weighted Nash inequalities. Zbl 1252.35015
Bakry, Dominique; Bolley, François; Gentil, Ivan; Maheux, Patrick
10
2012
The hypergroup property and representation of Markov kernels. Zbl 1215.82003
Bakry, D.; Huet, N.
10
2008
Transformations de Riesz pour les semi-groupes symétriques. I. Étude de la dimension 1. Zbl 0561.42010
Bakry, D.
9
1985
Perturbations of functional inequalities using growth conditions. Zbl 1120.60070
Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu
9
2007
Subelliptic Li–Yau estimations on three dimensional model spaces. Zbl 1199.35051
Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Qian, Bin
8
2008
Limites ”quadrantales” des martingales. Zbl 0461.60065
Bakry, D.
6
1981
The Riesz transforms associated with second order differential operators. Zbl 0689.58032
Bakry, Dominique
6
1989
Statistics of hidden Markov chains, finite state space, nonstationary case. (Statistique de chaînes de Markov cachées à espace d’états fini. Le cas non stationnaire.) Zbl 0891.62058
Bakry, Dominique; Milhaud, Xavier; Vandekerkhove, Pierre
5
1997
A remarkable sequence of inequalities for ultraspherical operators. (Une suite d’inégalités remarquables pour les opérateurs ultrasphériques.) Zbl 0794.60064
Bakry, Dominique
5
1994
Symmetric diffusions with polynomial eigenvectors. Zbl 1390.60024
Bakry, Dominique
5
2014
La propriété de sous-harmonicité des diffusions dans les variétés. (The property of subharmonicity of diffusions on manifolds). Zbl 0653.58043
Bakry, Dominique
4
1988
Transformations de Riesz pour les semi-groupes symétriques. II: Étude sous la condition \(\Gamma _ 2\geq 0\). Zbl 0561.42011
Bakry, D.
4
1985
On Harnack estimates for positive solutions of the heat equation on a complete manifold. Zbl 0903.58053
Bakry, Dominique; Qian, Zhongmin
4
1997
Dyson processes associated with associative algebras: the Clifford case. Zbl 1334.60159
Bakry, Dominique; Zani, Marguerite
4
2014
Weak Sobolev inequalities: A \(\Gamma_ 2\) criterion. (Inégalités de Sobolev faibles: Un critère \(\Gamma{}_ 2\).) Zbl 0745.60084
Bakry, Dominique
3
1991
On the FKG inequalities. (Sur les inégalités FKG.) Zbl 0766.60118
Bakry, Dominique; Michel, Dominique
3
1992
Markov semigroups at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1581 (1994), 1648 (1996) and 1665 (1997). Zbl 1234.60007
Bakry, Dominique; Ledoux, Michel; Saloff-Coste, Laurent
3
2012
Une remarque sur les semimartingales à deux indices. Zbl 0473.60050
Bakry, D.
3
1981
Sur les inégalités de Sobolev logarithmiques. II. Zbl 0489.60055
Bakry, D.; Meyer, P. A.
3
1982
Lectures on probability theory. Ecole d’Eté de Probabilités de Saint- Flour XXII-1992. Summer School, 9th-25th July, 1992, Saint-Flour, France. Zbl 0797.00021
2
1994
Diffusions with polynomial eigenvectors via finite subgroups of \(O(3)\). Zbl 1369.35038
Bakry, Dominique; Bressaud, Xavier
2
2016
Sur les inégalités de Sobolev logarithmiques. I. Zbl 0489.60054
Bakry, D.; Meyer, P. A.
2
1982
Inégalités de Sobolev et minorations du semi-groupe de la chaleur. (Sobolev inequalities and lower bounds of the heat semigroup). Zbl 0731.46015
Bakry, Dominique; Michel, Dominique
2
1990
Sur l’interpolation complexe des semigroupes de diffusion. (On the complex interpolation of diffusion semigroups). Zbl 0731.60070
Bakry, Dominique
2
1989
Sharp Beckner-type inequalities for Cauchy and spherical distributions. Zbl 1471.60045
Bakry, Dominique; Gentil, Ivan; Scheffer, Grégory
2
2020
Transformations de Riesz pour certains semi-groupes symétriques (Riesz transformations for some symmetric semi-groups). Zbl 0563.60069
Bakry, Dominique
1
1984
Semimartingales à deux indices. Zbl 0478.60053
Bakry, Dominique
1
1982
Extension of Bochner-Lichnérowicz formula on spheres. Zbl 1088.58013
Bakry, Dominique; Bentaleb, Abdellatif
1
2005
The Markov sequence problem for the Jacobi polynomials and on the simplex. Zbl 1431.33009
Bakry, Dominique; Mbarki, Lamine
1
2020
Ricci curvature and dimension for diffusion semigroups. Zbl 0717.58058
Bakry, Dominique
1
1990
Potential theory and stochastics in Albac. Aurel Cornea memorial volume. Conference proceedings, Albac, Romania, September 4–8, 2007. Zbl 1170.60002
1
2009
Curvature dimension bounds on the deltoid model. Zbl 1371.60034
Bakry, Dominique; Zribi, Olfa
1
2016
Hypergroup properties for the deltoid model. Zbl 1368.60081
Bakry, Dominique; Zribi, Olfa
1
2017
Orthogonal polynomials and diffusion operators. Zbl 07543751
Bakry, Dominique; Orevkov, Stepan; Zani, Marguerite
1
2022
Orthogonal polynomials and diffusion operators. Zbl 07543751
Bakry, Dominique; Orevkov, Stepan; Zani, Marguerite
1
2022
Sharp Beckner-type inequalities for Cauchy and spherical distributions. Zbl 1471.60045
Bakry, Dominique; Gentil, Ivan; Scheffer, Grégory
2
2020
The Markov sequence problem for the Jacobi polynomials and on the simplex. Zbl 1431.33009
Bakry, Dominique; Mbarki, Lamine
1
2020
The Li-Yau inequality and applications under a curvature-dimension condition. (Inégalité de Li-Yau et applications sous une condition de courbure-dimension.) Zbl 1383.58017
Bakry, Dominique; Bolley, François; Gentil, Ivan
13
2017
Hypergroup properties for the deltoid model. Zbl 1368.60081
Bakry, Dominique; Zribi, Olfa
1
2017
Diffusions with polynomial eigenvectors via finite subgroups of \(O(3)\). Zbl 1369.35038
Bakry, Dominique; Bressaud, Xavier
2
2016
Curvature dimension bounds on the deltoid model. Zbl 1371.60034
Bakry, Dominique; Zribi, Olfa
1
2016
On Harnack inequalities and optimal transportation. Zbl 1331.35151
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
18
2015
Analysis and geometry of Markov diffusion operators. Zbl 1376.60002
Bakry, Dominique; Gentil, Ivan; Ledoux, Michel
374
2014
Symmetric diffusions with polynomial eigenvectors. Zbl 1390.60024
Bakry, Dominique
5
2014
Dyson processes associated with associative algebras: the Clifford case. Zbl 1334.60159
Bakry, Dominique; Zani, Marguerite
4
2014
Dimension dependent hypercontractivity for Gaussian kernels. Zbl 1408.60068
Bakry, Dominique; Bolley, François; Gentil, Ivan
11
2012
Weighted Nash inequalities. Zbl 1252.35015
Bakry, Dominique; Bolley, François; Gentil, Ivan; Maheux, Patrick
10
2012
Markov semigroups at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1581 (1994), 1648 (1996) and 1665 (1997). Zbl 1234.60007
Bakry, Dominique; Ledoux, Michel; Saloff-Coste, Laurent
3
2012
Potential theory and stochastics in Albac. Aurel Cornea memorial volume. Conference proceedings, Albac, Romania, September 4–8, 2007. Zbl 1170.60002
1
2009
Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058
Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud
104
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
74
2008
On gradient bounds for the heat kernel on the Heisenberg group. Zbl 1156.58009
Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Chafaï, Djalil
45
2008
The hypergroup property and representation of Markov kernels. Zbl 1215.82003
Bakry, D.; Huet, N.
10
2008
Subelliptic Li–Yau estimations on three dimensional model spaces. Zbl 1199.35051
Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Qian, Bin
8
2008
Perturbations of functional inequalities using growth conditions. Zbl 1120.60070
Bakry, Dominique; Ledoux, Michel; Wang, Feng-Yu
9
2007
A logarithmic Sobolev form of the Li-Yau parabolic inequality. Zbl 1116.58024
Bakry, Dominique; Ledoux, Michel
67
2006
Functional inequalities for Markov semigroups. Zbl 1148.60057
Bakry, Dominique
51
2006
Volume comparison theorems without Jacobi fields. Zbl 1212.58019
Bakry, Dominique; Qian, Zhongmin
52
2005
Extension of Bochner-Lichnérowicz formula on spheres. Zbl 1088.58013
Bakry, Dominique; Bentaleb, Abdellatif
1
2005
Characterization of Markov semigroups on \(\mathbb{R}\) associated to some families of orthogonal polynomials. Zbl 1060.33014
Bakry, Dominique; Mazet, Olivier
14
2003
On logarithmic Sobolev inequalities. With a preface of Dominique Bakry and Michel Ledoux. (Sur les inégalités de Sobolev logarithmiques.) Zbl 0982.46026
Ané, Cécile; Blachère, Sébastien; Chafaï, Djalil; Fougères, Pierre; Gentil, Ivan; Malrieu, Florent; Roberto, Cyril; Scheffer, Grégory
139
2000
Some new results on eigenvectors via dimension, diameter, and Ricci curvature. Zbl 0980.58020
Bakry, Dominique; Qian, Zhongmin
65
2000
Harnack inequalities on a manifold with positive or negative Ricci curvature. Zbl 0924.58096
Bakry, Dominique; Qian, Zhongmin M.
43
1999
Optimal heat kernel bounds under logarithmic Sobolev inequalities. Zbl 0898.58052
Bakry, D.; Concordet, D.; Ledoux, M.
13
1997
Statistics of hidden Markov chains, finite state space, nonstationary case. (Statistique de chaînes de Markov cachées à espace d’états fini. Le cas non stationnaire.) Zbl 0891.62058
Bakry, Dominique; Milhaud, Xavier; Vandekerkhove, Pierre
5
1997
On Harnack estimates for positive solutions of the heat equation on a complete manifold. Zbl 0903.58053
Bakry, Dominique; Qian, Zhongmin
4
1997
Lévy-Gromov’s isoperimetric inequality for an infinite dimensional diffusion generator. Zbl 0855.58011
Bakry, D.; Ledoux, M.
89
1996
Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator. Zbl 0870.60071
Bakry, D.; Ledoux, M.
52
1996
Remarques sur les semigroupes de Jacobi. Zbl 0859.47026
Bakry, D.
15
1996
Sobolev inequalities in disguise. Zbl 0857.26006
Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L.
102
1995
Hypercontractivity and its usage in semigroup theory. (L’hypercontractivité et son utilisation en théorie des semigroupes.) Zbl 0856.47026
Bakry, Dominique
144
1994
A remarkable sequence of inequalities for ultraspherical operators. (Une suite d’inégalités remarquables pour les opérateurs ultrasphériques.) Zbl 0794.60064
Bakry, Dominique
5
1994
Lectures on probability theory. Ecole d’Eté de Probabilités de Saint- Flour XXII-1992. Summer School, 9th-25th July, 1992, Saint-Flour, France. Zbl 0797.00021
2
1994
On the FKG inequalities. (Sur les inégalités FKG.) Zbl 0766.60118
Bakry, Dominique; Michel, Dominique
3
1992
Weak Sobolev inequalities: A \(\Gamma_ 2\) criterion. (Inégalités de Sobolev faibles: Un critère \(\Gamma{}_ 2\).) Zbl 0745.60084
Bakry, Dominique
3
1991
Inégalités de Sobolev et minorations du semi-groupe de la chaleur. (Sobolev inequalities and lower bounds of the heat semigroup). Zbl 0731.46015
Bakry, Dominique; Michel, Dominique
2
1990
Ricci curvature and dimension for diffusion semigroups. Zbl 0717.58058
Bakry, Dominique
1
1990
The Riesz transforms associated with second order differential operators. Zbl 0689.58032
Bakry, Dominique
6
1989
Sur l’interpolation complexe des semigroupes de diffusion. (On the complex interpolation of diffusion semigroups). Zbl 0731.60070
Bakry, Dominique
2
1989
La propriété de sous-harmonicité des diffusions dans les variétés. (The property of subharmonicity of diffusions on manifolds). Zbl 0653.58043
Bakry, Dominique
4
1988
Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée. (Study of Riesz transformations in Riemannian manifolds with Ricci curvature bounded from below). Zbl 0629.58018
Bakry, Dominique
32
1987
Un critère de non-explosion pour certaines diffusions sur une variété riemannienne complète (A non explosion criterion for some diffusions on a complete Riemannian manifold). Zbl 0589.60069
Bakry, Dominique
23
1986
Diffusions hypercontractives. Zbl 0561.60080
Bakry, Dominique; Émery, Michel
260
1985
Inégalités de Sobolev pour un semi-groupe symétrique. (Sobolev inequalities for a symmetric semi-group). Zbl 0579.60079
Bakry, Dominique; Emery, Michel
11
1985
Transformations de Riesz pour les semi-groupes symétriques. I. Étude de la dimension 1. Zbl 0561.42010
Bakry, D.
9
1985
Transformations de Riesz pour les semi-groupes symétriques. II: Étude sous la condition \(\Gamma _ 2\geq 0\). Zbl 0561.42011
Bakry, D.
4
1985
Hypercontractivité de semi-groupes de diffusion (Hypercontractivity for diffusion semi-groups). Zbl 0563.60068
Bakry, Dominique; Emery, Michel
78
1984
Transformations de Riesz pour certains semi-groupes symétriques (Riesz transformations for some symmetric semi-groups). Zbl 0563.60069
Bakry, Dominique
1
1984
Sur les inégalités de Sobolev logarithmiques. II. Zbl 0489.60055
Bakry, D.; Meyer, P. A.
3
1982
Sur les inégalités de Sobolev logarithmiques. I. Zbl 0489.60054
Bakry, D.; Meyer, P. A.
2
1982
Semimartingales à deux indices. Zbl 0478.60053
Bakry, Dominique
1
1982
Théoremes de section et de projection pour les processus à deux indices. Zbl 0431.60057
Bakry, D.
11
1981
Limites ”quadrantales” des martingales. Zbl 0461.60065
Bakry, D.
6
1981
Une remarque sur les semimartingales à deux indices. Zbl 0473.60050
Bakry, D.
3
1981
Sur la régularité des trajectoires des martingales à deux indices. Zbl 0419.60051
Bakry, D.
17
1979
all top 5

Cited by 1,303 Authors

48 Wang, Feng-Yu
30 Dolbeault, Jean
28 Guillin, Arnaud
26 Baudoin, Fabrice
20 Cattiaux, Patrick
19 Gentil, Ivan
16 Bakry, Dominique
15 Milman, Emanuel
14 Bonnefont, Michel
14 Esteban, Maria J.
14 Ledoux, Michel
14 Wu, Jiayong
14 Wu, Liming
14 Zegarlinski, Boguslaw
13 Qian, Bin
12 Loss, Michael
12 Saloff-Coste, Laurent
11 Ambrosio, Luigi
11 Bobkov, Sergey Germanovich
11 Bolley, François
11 Fathi, Max
11 Gordina, Maria
10 Barthe, Franck
10 Li, Xiang-Dong
10 Miclo, Laurent
10 Stoltz, Gabriel
9 Coulhon, Thierry
9 Joulin, Aldéric
9 Mondino, Andrea
9 Savaré, Giuseppe
8 Bogachev, Vladimir Igorevich
8 Ceccon, Jurandir
8 Chafaï, Djalil
8 de Lima, Henrique F.
8 Li, Hongquan
8 Ma, Yutao
8 Monmarché, Pierre
8 Ohta, Shin-ichi
8 Peccati, Giovanni
8 Sturm, Karl-Theodor
8 Wang, Jian
7 Awonusika, Richard Olu
7 Garofalo, Nicola
7 Gozlan, Nathael
7 Kolesnikov, Alexander V.
7 Kuwada, Kazumasa
7 Lin, Yong
7 Liu, Shiping
7 Patie, Pierre
7 Roberto, Cyril
7 Toscani, Giuseppe
7 Wang, Linfeng
6 Diaconis, Persi Warren
6 Erbar, Matthias
6 Huang, Guangyue
6 Klartag, Bo’az
6 Li, Xue-Mei
6 Montenegro, Marcos
6 Mossel, Elchanan
6 Muratori, Matteo
6 Nourdin, Ivan
6 Ottobre, Michela
6 Röckner, Michael
6 Santos, Márcio S.
6 Sjogren, Peter
6 Wang, Yuzhao
6 Zhang, Huichun
5 Alonso-Ruiz, Patricia
5 Bally, Vlad
5 Caramellino, Lucia
5 Carron, Gilles
5 Chen, Mu-Fa
5 Cheng, Lijuan
5 Conforti, Giovanni
5 Eberle, Andreas
5 Gigli, Nicola
5 Grillo, Gabriele
5 Hairer, Martin
5 Hua, Bobo
5 Ivanisvili, Paata
5 Ketterer, Christian
5 Koskela, Pekka
5 Lelièvre, Tony
5 Léonard, Christian
5 Li, Huaiqian
5 Li, Wuchen
5 Malrieu, Florent
5 Milman, Mario Marcos
5 Münch, Florentin
5 Neeman, Joe
5 Nowak, Adam
5 Oliveira, Arlandson Matheus Silva
5 Otto, Felix
5 Peyerimhoff, Norbert
5 Poly, Guillaume
5 Qian, Zhongmin M.
5 Ripani, Luigia
5 Sarantsev, Andrey
5 Thalmaier, Anton
5 Yau, Horng-Tzer
...and 1,203 more Authors
all top 5

Cited in 254 Serials

139 Journal of Functional Analysis
41 The Annals of Probability
37 Potential Analysis
36 Journal of Mathematical Analysis and Applications
34 The Journal of Geometric Analysis
33 Journal de Mathématiques Pures et Appliquées. Neuvième Série
33 Stochastic Processes and their Applications
32 Probability Theory and Related Fields
32 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
26 Transactions of the American Mathematical Society
24 Calculus of Variations and Partial Differential Equations
22 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
20 Proceedings of the American Mathematical Society
20 Electronic Journal of Probability
18 Advances in Mathematics
18 Bernoulli
17 Mathematische Annalen
16 The Annals of Applied Probability
15 Journal of Statistical Physics
14 Journal of Differential Equations
14 Statistics & Probability Letters
13 Journal of Mathematical Physics
13 Mathematische Zeitschrift
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Communications in Mathematical Physics
12 Revista Matemática Iberoamericana
12 Acta Mathematica Sinica. English Series
11 Duke Mathematical Journal
11 Journal of Theoretical Probability
11 Discrete and Continuous Dynamical Systems
11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Differential Geometry and its Applications
10 Bulletin des Sciences Mathématiques
9 Archive for Rational Mechanics and Analysis
9 Manuscripta Mathematica
9 Communications in Partial Differential Equations
9 Science China. Mathematics
7 Annales de l’Institut Fourier
7 Inventiones Mathematicae
7 Journal of Multivariate Analysis
7 Journal für die Reine und Angewandte Mathematik
7 Memoirs of the American Mathematical Society
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Analysis and Geometry in Metric Spaces
6 Results in Mathematics
6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
6 Acta Applicandae Mathematicae
6 Journal of Mathematical Sciences (New York)
6 Infinite Dimensional Analysis, Quantum Probability and Related Topics
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Frontiers of Mathematics in China
6 Electronic Journal of Statistics
6 Kinetic and Related Models
5 Chinese Annals of Mathematics. Series B
5 Annals of Global Analysis and Geometry
5 SIAM Journal on Mathematical Analysis
5 Annals of Mathematics. Second Series
5 SIAM/ASA Journal on Uncertainty Quantification
5 Annales Henri Lebesgue
4 Stochastics
4 Archiv der Mathematik
4 Geometriae Dedicata
4 Journal of Approximation Theory
4 Mathematische Nachrichten
4 Tôhoku Mathematical Journal. Second Series
4 Science in China. Series A
4 Annales Mathématiques Blaise Pascal
4 Journal of the European Mathematical Society (JEMS)
4 Communications in Contemporary Mathematics
4 Annales Henri Poincaré
4 Journal of Evolution Equations
4 Communications on Pure and Applied Analysis
4 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Analysis and Mathematical Physics
4 Information Geometry
3 Communications on Pure and Applied Mathematics
3 Mathematical Notes
3 Nonlinearity
3 Studia Mathematica
3 Journal of Geometry and Physics
3 The Annals of Statistics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Illinois Journal of Mathematics
3 Monatshefte für Mathematik
3 Pacific Journal of Mathematics
3 International Journal of Mathematics
3 Geometric and Functional Analysis. GAFA
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
3 Bulletin of the American Mathematical Society. New Series
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Doklady Mathematics
3 Journal of Inequalities and Applications
3 Stochastics and Dynamics
3 Multiscale Modeling & Simulation
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Discrete and Continuous Dynamical Systems. Series S
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Bulletin of the Australian Mathematical Society
...and 154 more Serials
all top 5

Cited in 52 Fields

617 Probability theory and stochastic processes (60-XX)
388 Partial differential equations (35-XX)
338 Global analysis, analysis on manifolds (58-XX)
308 Differential geometry (53-XX)
193 Operator theory (47-XX)
151 Functional analysis (46-XX)
131 Real functions (26-XX)
100 Statistical mechanics, structure of matter (82-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
55 Measure and integration (28-XX)
53 Harmonic analysis on Euclidean spaces (42-XX)
47 Difference and functional equations (39-XX)
44 Dynamical systems and ergodic theory (37-XX)
43 Statistics (62-XX)
43 Numerical analysis (65-XX)
42 Combinatorics (05-XX)
38 Potential theory (31-XX)
33 Special functions (33-XX)
30 Convex and discrete geometry (52-XX)
28 Abstract harmonic analysis (43-XX)
27 Information and communication theory, circuits (94-XX)
25 Topological groups, Lie groups (22-XX)
21 Quantum theory (81-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
16 Fluid mechanics (76-XX)
15 Biology and other natural sciences (92-XX)
15 Systems theory; control (93-XX)
12 Functions of a complex variable (30-XX)
12 Ordinary differential equations (34-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Operations research, mathematical programming (90-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Geometry (51-XX)
7 Integral equations (45-XX)
7 Computer science (68-XX)
6 Approximations and expansions (41-XX)
5 Nonassociative rings and algebras (17-XX)
5 Group theory and generalizations (20-XX)
5 General topology (54-XX)
5 Manifolds and cell complexes (57-XX)
5 Mechanics of particles and systems (70-XX)
4 Number theory (11-XX)
4 Relativity and gravitational theory (83-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
3 Integral transforms, operational calculus (44-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year

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