# zbMATH — the first resource for mathematics

## Takeda, Masayoshi

Compute Distance To:
 Author ID: takeda.masayoshi Published as: Takeda, Masayoshi; Takeda, M. Homepage: http://db.tohoku.ac.jp/whois/e_detail/f644c909bfa9795742517ce93f196ab2.html External Links: MGP
 Documents Indexed: 63 Publications since 1984, including 3 Books
all top 5

#### Co-Authors

 40 single-authored 5 Fukushima, Masatoshi 4 Tsuchida, Kaneharu 3 Chen, Zhen-Qing 3 Oshima, Yoichi 3 Tawara, Yoshihiro 3 Uemura, Toshihiro 2 Jacob, Niels 2 Ying, Jiangang 2 Zhang, Tusheng S. 1 Fitzsimmons, Patrick J. 1 Kawabata, Toshihiro 1 Kim, Daehong 1 Li, Yunke 1 Nakao, Shintaro 1 Shima, Tadashi 1 Shiozawa, Yuichi 1 Trutnau, Gerald 1 Wada, Masaki
all top 5

#### Serials

 7 Osaka Journal of Mathematics 6 Potential Analysis 4 Proceedings of the American Mathematical Society 4 Journal of Theoretical Probability 4 Forum Mathematicum 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 2 The Annals of Probability 2 Bulletin of the London Mathematical Society 2 Illinois Journal of Mathematics 2 Mathematische Nachrichten 2 De Gruyter Studies in Mathematics 1 Studia Mathematica 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Japan Academy. Series A 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Statistics & Probability Letters 1 Stochastics and Stochastics Reports 1 Electronic Communications in Probability 1 Interdisciplinary Mathematical Sciences 1 RIMS Kôkyûroku Bessatsu
all top 5

#### Fields

 61 Probability theory and stochastic processes (60-XX) 32 Potential theory (31-XX) 12 Partial differential equations (35-XX) 6 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

54 Publications have been cited 1,333 times in 978 Documents Cited by Year
Dirichlet forms and symmetric Markov processes. Zbl 0838.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
1994
Dirichlet forms and symmetric Markov processes. 2nd revised and extended ed. Zbl 1227.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
2011
Absolute continuity of symmetric Markov processes. Zbl 1053.60084
Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S.
2004
On a martingale method for symmetric diffusion processes and its applications. Zbl 0717.60090
Takeda, Masayoshi
1989
Conditional gaugeability and subcriticality of generalized Schrödinger operators. Zbl 1002.60063
Takeda, Masayoshi
2002
Differentiability of spectral functions for symmetric $$\alpha$$-stable processes. Zbl 1112.60058
Takeda, Masayoshi; Tsuchida, Kaneharu
2007
Subcriticality and gaugeability for symmetric $$\alpha$$-stable processes. Zbl 1068.60094
Takeda, Masayoshi; Uemura, Toshihiro
2004
Asymptotic properties of generalized Feynman-Kac functionals. Zbl 0920.60009
Takeda, Masayoshi
1998
$$L^p$$-independence of spectral bounds of Schrödinger type semigroups. Zbl 1130.47023
Takeda, Masayoshi
2007
Large deviation principle for additive functionals of Brownian motion corresponding to Kato measures. Zbl 1018.60029
Takeda, Masayoshi
2003
Large deviations for additive functionals of symmetric stable processes. Zbl 1139.60313
Takeda, Masayoshi
2008
A transformation of a symmetric Markov process and the Donsker-Varadhan theory. Zbl 0542.60077
Fukushima, Masatoshi; Takeda, Masayoshi
1984
A large deviation principle for symmetric Markov processes with Feynman-Kac functional. Zbl 1237.60065
Takeda, Masayoshi
2011
On the uniqueness of Markovian self-adjoint extension of diffusion operators on infinite dimensional spaces. Zbl 0611.60074
Takeda, Masayoshi
1985
Criticality and subcriticality of generalized Schrödinger forms. Zbl 1317.31019
Takeda, Masayoshi
2014
On the conservativeness of the Brownian motion on a Riemannian manifold. Zbl 0748.60070
Takeda, Masayoshi
1991
$$L^{p}$$-independence of spectral bounds of non-local Feynman-Kac semigroups. Zbl 1187.60058
Takeda, Masayoshi; Tawara, Yoshihiro
2009
Gaugeability for Feynman-Kac functionals with applications to symmetric $$\alpha$$-stable processes. Zbl 1091.60017
Takeda, Masayoshi
2006
(r,p)-capacity on the Wiener space and properties of Brownian motion. Zbl 0573.60068
Takeda, Masayoshi
1984
Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds. Zbl 1111.60059
Takeda, Masayoshi
2007
Exponential decay of lifetimes and a theorem of Kac on total occupation times. Zbl 0952.60028
Takeda, Masayoshi
1999
The maximum Markovian self-adjoint extensions of generalized Schrödinger operators. Zbl 0819.47061
Takeda, Masayoshi
1992
Criticality of generalized Schrödinger operators and differentiability of spectral functions. Zbl 1063.60109
Takeda, Masayoshi; Tsuchida, Kaneharu
2004
On a large deviation for symmetric Markov processes with finite life time. Zbl 0868.60018
Takeda, Masayoshi
1996
Compactness of symmetric Markov semigroups and boundedness of eigenfunctions. Zbl 07110612
Takeda, Masayoshi
2019
A variational formula for Dirichlet forms and existence of ground states. Zbl 1312.60087
Takeda, Masayoshi
2014
Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms. Zbl 1252.60081
Takeda, Masayoshi; Trutnau, Gerald
2012
A tightness property of a symmetric Markov process and the uniform large deviation principle. Zbl 1274.60083
Takeda, Masayoshi
2013
Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric $$\alpha$$-stable processes. Zbl 1070.31006
Shiozawa, Yuichi; Takeda, Masayoshi
2005
Compactness of Markov and Schrödinger semigroups: a probabilistic approach. Zbl 1462.47029
Takeda, Masayoshi; Tawara, Yoshihiro; Tsuchida, Kaneharu
2017
A large deviation principle for symmetric Markov processes normalized by Feynman-Kac functionals. Zbl 1272.60014
Takeda, Masayoshi; Tawara, Yoshihiro
2013
Two classes of extensions for generalized Schrödinger operators. Zbl 0854.31005
Takeda, Masayoshi
1996
$$L^p$$-independence of the spectral radius of symmetric Markov semigroups. Zbl 0987.47031
Takeda, Masayoshi
2000
On uniqueness problem for local Dirichlet forms. Zbl 0870.31014
Kawabata, Toshihiro; Takeda, Masayoshi
1996
On a transformation of symmetric Markov process and recurrence property. Zbl 0634.60064
Oshima, Yoichi; Takeda, Masayoshi
1987
Feynman-Kac penalisations of symmetric stable processes. Zbl 1193.60096
Takeda, Masayoshi
2010
On exit times of symmetric Lévy processes from connected open sets. Zbl 0959.60032
Takeda, Masayoshi
1996
Large deviations and related LIL’s for Brownian motions on nested fractals. Zbl 0957.60033
Fukushima, Masatoshi; Shima, Tadashi; Takeda, Masayoshi
1999
Asymptotic properties of additive functionals of Brownian motion. Zbl 0887.60077
Takeda, Masayoshi; Zhang, Tusheng
1997
Some variational formulas on additive functionals of symmetric Markov chains. Zbl 0990.60021
Kim, Daehong; Takeda, Masayoshi; Ying, Jiangang
2002
A formula on scattering length of positive smooth measures. Zbl 1193.60095
Takeda, Masayoshi
2010
Criticality for Schrödinger type operators based on recurrent symmetric stable processes. Zbl 1347.60113
Takeda, Masayoshi
2016
$$L^p$$-independence of growth bounds of Feynman-Kac semigroups. Zbl 1235.60103
Takeda, Masayoshi
2011
Some topics connected with gaugeability for Feynman-Kac functionals. Zbl 1140.60039
Takeda, Masayoshi
2008
Branching Brownian motions on Riemannian manifolds: expectation of the number of branches hitting closed sets. Zbl 1158.60038
Takeda, M.
2007
On Dirichlet forms with random data-recurrence and homogenization. Zbl 0629.60085
Fukushima, M.; Nakao, S.; Takeda, M.
1987
Large time asymptotics of Feynman-Kac functionals for symmetric stable processes. Zbl 1359.31007
2016
Large deviations for discontinuous additive functionals of symmetric stable processes. Zbl 1222.60057
Takeda, Masayoshi; Tsuchida, Kaneharu
2011
Recent topics on Dirichlet forms and symmetric Markov processes. Zbl 1013.31006
Takeda, Masayoshi
1997
On the uniqueness of the Markovian self-adjoint extension. Zbl 0634.60065
Takeda, Masayoshi
1987
Tightness property for symmetric diffusion processes. Zbl 0667.60077
Takeda, Masayoshi
1988
On Donsker-Varadhan’s entropy and its application. Zbl 0704.60080
Takeda, Masayoshi
1990
The bottom of the spectrum of time-changed processes and the maximum principle of Schrödinger operators. Zbl 1405.31012
Takeda, Masayoshi
2018
Existence and uniqueness of quasi-stationary distributions for symmetric Markov processes with tightness property. Zbl 1450.60039
Takeda, Masayoshi
2019
Compactness of symmetric Markov semigroups and boundedness of eigenfunctions. Zbl 07110612
Takeda, Masayoshi
2019
Existence and uniqueness of quasi-stationary distributions for symmetric Markov processes with tightness property. Zbl 1450.60039
Takeda, Masayoshi
2019
The bottom of the spectrum of time-changed processes and the maximum principle of Schrödinger operators. Zbl 1405.31012
Takeda, Masayoshi
2018
Compactness of Markov and Schrödinger semigroups: a probabilistic approach. Zbl 1462.47029
Takeda, Masayoshi; Tawara, Yoshihiro; Tsuchida, Kaneharu
2017
Criticality for Schrödinger type operators based on recurrent symmetric stable processes. Zbl 1347.60113
Takeda, Masayoshi
2016
Large time asymptotics of Feynman-Kac functionals for symmetric stable processes. Zbl 1359.31007
2016
Criticality and subcriticality of generalized Schrödinger forms. Zbl 1317.31019
Takeda, Masayoshi
2014
A variational formula for Dirichlet forms and existence of ground states. Zbl 1312.60087
Takeda, Masayoshi
2014
A tightness property of a symmetric Markov process and the uniform large deviation principle. Zbl 1274.60083
Takeda, Masayoshi
2013
A large deviation principle for symmetric Markov processes normalized by Feynman-Kac functionals. Zbl 1272.60014
Takeda, Masayoshi; Tawara, Yoshihiro
2013
Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms. Zbl 1252.60081
Takeda, Masayoshi; Trutnau, Gerald
2012
Dirichlet forms and symmetric Markov processes. 2nd revised and extended ed. Zbl 1227.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
2011
A large deviation principle for symmetric Markov processes with Feynman-Kac functional. Zbl 1237.60065
Takeda, Masayoshi
2011
$$L^p$$-independence of growth bounds of Feynman-Kac semigroups. Zbl 1235.60103
Takeda, Masayoshi
2011
Large deviations for discontinuous additive functionals of symmetric stable processes. Zbl 1222.60057
Takeda, Masayoshi; Tsuchida, Kaneharu
2011
Feynman-Kac penalisations of symmetric stable processes. Zbl 1193.60096
Takeda, Masayoshi
2010
A formula on scattering length of positive smooth measures. Zbl 1193.60095
Takeda, Masayoshi
2010
$$L^{p}$$-independence of spectral bounds of non-local Feynman-Kac semigroups. Zbl 1187.60058
Takeda, Masayoshi; Tawara, Yoshihiro
2009
Large deviations for additive functionals of symmetric stable processes. Zbl 1139.60313
Takeda, Masayoshi
2008
Some topics connected with gaugeability for Feynman-Kac functionals. Zbl 1140.60039
Takeda, Masayoshi
2008
Differentiability of spectral functions for symmetric $$\alpha$$-stable processes. Zbl 1112.60058
Takeda, Masayoshi; Tsuchida, Kaneharu
2007
$$L^p$$-independence of spectral bounds of Schrödinger type semigroups. Zbl 1130.47023
Takeda, Masayoshi
2007
Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds. Zbl 1111.60059
Takeda, Masayoshi
2007
Branching Brownian motions on Riemannian manifolds: expectation of the number of branches hitting closed sets. Zbl 1158.60038
Takeda, M.
2007
Gaugeability for Feynman-Kac functionals with applications to symmetric $$\alpha$$-stable processes. Zbl 1091.60017
Takeda, Masayoshi
2006
Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric $$\alpha$$-stable processes. Zbl 1070.31006
Shiozawa, Yuichi; Takeda, Masayoshi
2005
Absolute continuity of symmetric Markov processes. Zbl 1053.60084
Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S.
2004
Subcriticality and gaugeability for symmetric $$\alpha$$-stable processes. Zbl 1068.60094
Takeda, Masayoshi; Uemura, Toshihiro
2004
Criticality of generalized Schrödinger operators and differentiability of spectral functions. Zbl 1063.60109
Takeda, Masayoshi; Tsuchida, Kaneharu
2004
Large deviation principle for additive functionals of Brownian motion corresponding to Kato measures. Zbl 1018.60029
Takeda, Masayoshi
2003
Conditional gaugeability and subcriticality of generalized Schrödinger operators. Zbl 1002.60063
Takeda, Masayoshi
2002
Some variational formulas on additive functionals of symmetric Markov chains. Zbl 0990.60021
Kim, Daehong; Takeda, Masayoshi; Ying, Jiangang
2002
$$L^p$$-independence of the spectral radius of symmetric Markov semigroups. Zbl 0987.47031
Takeda, Masayoshi
2000
Exponential decay of lifetimes and a theorem of Kac on total occupation times. Zbl 0952.60028
Takeda, Masayoshi
1999
Large deviations and related LIL’s for Brownian motions on nested fractals. Zbl 0957.60033
Fukushima, Masatoshi; Shima, Tadashi; Takeda, Masayoshi
1999
Asymptotic properties of generalized Feynman-Kac functionals. Zbl 0920.60009
Takeda, Masayoshi
1998
Asymptotic properties of additive functionals of Brownian motion. Zbl 0887.60077
Takeda, Masayoshi; Zhang, Tusheng
1997
Recent topics on Dirichlet forms and symmetric Markov processes. Zbl 1013.31006
Takeda, Masayoshi
1997
On a large deviation for symmetric Markov processes with finite life time. Zbl 0868.60018
Takeda, Masayoshi
1996
Two classes of extensions for generalized Schrödinger operators. Zbl 0854.31005
Takeda, Masayoshi
1996
On uniqueness problem for local Dirichlet forms. Zbl 0870.31014
Kawabata, Toshihiro; Takeda, Masayoshi
1996
On exit times of symmetric Lévy processes from connected open sets. Zbl 0959.60032
Takeda, Masayoshi
1996
Dirichlet forms and symmetric Markov processes. Zbl 0838.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
1994
The maximum Markovian self-adjoint extensions of generalized Schrödinger operators. Zbl 0819.47061
Takeda, Masayoshi
1992
On the conservativeness of the Brownian motion on a Riemannian manifold. Zbl 0748.60070
Takeda, Masayoshi
1991
On Donsker-Varadhan’s entropy and its application. Zbl 0704.60080
Takeda, Masayoshi
1990
On a martingale method for symmetric diffusion processes and its applications. Zbl 0717.60090
Takeda, Masayoshi
1989
Tightness property for symmetric diffusion processes. Zbl 0667.60077
Takeda, Masayoshi
1988
On a transformation of symmetric Markov process and recurrence property. Zbl 0634.60064
Oshima, Yoichi; Takeda, Masayoshi
1987
On Dirichlet forms with random data-recurrence and homogenization. Zbl 0629.60085
Fukushima, M.; Nakao, S.; Takeda, M.
1987
On the uniqueness of the Markovian self-adjoint extension. Zbl 0634.60065
Takeda, Masayoshi
1987
On the uniqueness of Markovian self-adjoint extension of diffusion operators on infinite dimensional spaces. Zbl 0611.60074
Takeda, Masayoshi
1985
A transformation of a symmetric Markov process and the Donsker-Varadhan theory. Zbl 0542.60077
Fukushima, Masatoshi; Takeda, Masayoshi
1984
(r,p)-capacity on the Wiener space and properties of Brownian motion. Zbl 0573.60068
Takeda, Masayoshi
1984
all top 5

#### Cited by 717 Authors

 57 Chen, Zhen-Qing 32 Röckner, Michael 27 Takeda, Masayoshi 24 Fukushima, Masatoshi 23 Grigor’yan, Alexander Asaturovich 21 Kim, Panki 21 Klimsiak, Tomasz 20 Kumagai, Takashi 19 Ying, Jiangang 19 Zhang, Tusheng S. 18 Albeverio, Sergio A. 17 Song, Renming 16 Kuwae, Kazuhiro 16 Saloff-Coste, Laurent 16 Wang, Jian 15 Uemura, Toshihiro 14 Hinz, Michael 14 Keller, Matthias 14 Shiozawa, Yuichi 14 Sun, Wei 13 Hu, Jiaxin 13 Kaneko, Hiroshi 12 Lenz, Daniel H. 12 Teplyaev, Alexander 11 Fitzsimmons, Patrick J. 11 Hino, Masanori 11 Li, Liping 11 Trutnau, Gerald 10 Bendikov, Alexander D. 10 Kim, Daehong 10 Ma, Zhi-Ming 10 Robinson, Derek W. 9 Barlow, Martin T. 9 Bass, Richard F. 9 Cipriani, Fabio 9 Coulhon, Thierry 9 Huang, Xueping 9 Masamune, Jun 9 Rozkosz, Andrzej 9 Schilling, René Leander 9 Schmidt, Marcel 8 Beznea, Lucian 8 Lancia, Maria Rosaria 8 Lau, Kasing 7 Ambrosio, Luigi 7 Bogdan, Krzysztof 7 Burdzy, Krzysztof 7 Grothaus, Martin 7 Jørgensen, Palle E. T. 7 Kondrat’yev, Yuriĭ Grygorovych 7 Osada, Hirofumi 7 Shanmugalingam, Nageswari 7 Sturm, Karl-Theodor 7 Tsuchida, Kaneharu 7 Vondraček, Zoran 7 Warma, Mahamadi 6 Atsuji, Atsushi 6 Baudoin, Fabrice 6 Ben Amor, Ali 6 Bouleau, Nicolas 6 He, Ping 6 Jiang, Renjin 6 Kajino, Naotaka 6 Khoshnevisan, Davar 6 Kigami, Jun 6 Linetsky, Vadim 6 Mathieu, Pierre 6 Oshima, Yoichi 6 Ouhabaz, El Maati 6 Rogers, Luke G. 6 Zambotti, Lorenzo 5 Chen, Xin 5 Grillo, Gabriele 5 Jacob, Niels 5 Jakubowski, Tomasz 5 Kassmann, Moritz 5 Knopova, Victoria Pavlovna 5 Kuwada, Kazumasa 5 Li, Lingfei 5 Lierl, Janna 5 Miclo, Laurent 5 Murugan, Mathav Kishore 5 Pearse, Erin Peter James 5 Shin, Jiyong 5 Sikora, Adam S. 5 Sun, Wenjie 5 Tawara, Yoshihiro 5 Vernole, Paola Gioia 5 Wojciechowski, Radosław Krzysztof 5 Zhu, RongChan 4 Alonso-Ruiz, Patricia 4 Bernicot, Frédéric 4 Bogachev, Vladimir Igorevich 4 Capitanelli, Raffaela 4 Chen, Chuanzhong 4 Chen, Mu-Fa 4 Croydon, David A. 4 Denis, Laurent 4 D’Ovidio, Mirko 4 Dyda, Bartłomiej ...and 617 more Authors
all top 5

#### Cited in 169 Serials

 101 Journal of Functional Analysis 83 Potential Analysis 52 The Annals of Probability 41 Probability Theory and Related Fields 40 Transactions of the American Mathematical Society 39 Stochastic Processes and their Applications 28 Journal of Theoretical Probability 24 Journal of Mathematical Analysis and Applications 21 Proceedings of the American Mathematical Society 21 Journal of Evolution Equations 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Forum Mathematicum 15 Tohoku Mathematical Journal. Second Series 14 Mathematische Zeitschrift 14 Acta Mathematica Sinica. English Series 13 Advances in Mathematics 13 Mathematische Nachrichten 12 Journal of Differential Equations 12 Journal of the Mathematical Society of Japan 12 Electronic Journal of Probability 10 Calculus of Variations and Partial Differential Equations 9 Communications in Mathematical Physics 9 Osaka Journal of Mathematics 9 Science China. Mathematics 8 Communications on Pure and Applied Mathematics 8 Bernoulli 7 Illinois Journal of Mathematics 7 Mathematische Annalen 7 Statistics & Probability Letters 6 Journal d’Analyse Mathématique 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Acta Applicandae Mathematicae 6 Discrete and Continuous Dynamical Systems 5 Journal of Statistical Physics 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Zeitschrift für Analysis und ihre Anwendungen 5 Stochastic Analysis and Applications 5 The Annals of Applied Probability 5 The Journal of Geometric Analysis 5 Journal of the European Mathematical Society (JEMS) 5 Complex Analysis and Operator Theory 5 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 5 Journal of Fractal Geometry 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Bulletin of the American Mathematical Society. New Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Mathematical Sciences (New York) 4 NoDEA. Nonlinear Differential Equations and Applications 4 The Journal of Fourier Analysis and Applications 3 Journal of Mathematical Physics 3 Annales de l’Institut Fourier 3 Applied Mathematics and Optimization 3 Bulletin of the London Mathematical Society 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Japan Academy. Series A 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Journal on Mathematical Analysis 3 Bulletin des Sciences Mathématiques 3 Mathematical Finance 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Fractional Calculus & Applied Analysis 3 Stochastics and Dynamics 3 Communications on Pure and Applied Analysis 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Israel Journal of Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Nonlinearity 2 Studia Mathematica 2 The Annals of Statistics 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Inventiones Mathematicae 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 SIAM Journal on Control and Optimization 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Constructive Approximation 2 Revista Matemática Iberoamericana 2 Science in China. Series A 2 Sugaku Expositions 2 Annales Mathématiques Blaise Pascal 2 Finance and Stochastics 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Mathematical Physics, Analysis and Geometry 2 Positivity 2 Annals of Mathematics. Second Series 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Frontiers of Mathematics in China 2 International Journal of Stochastic Analysis 2 Kyoto Journal of Mathematics ...and 69 more Serials
all top 5

#### Cited in 44 Fields

 707 Probability theory and stochastic processes (60-XX) 338 Potential theory (31-XX) 286 Partial differential equations (35-XX) 201 Operator theory (47-XX) 95 Measure and integration (28-XX) 94 Global analysis, analysis on manifolds (58-XX) 86 Functional analysis (46-XX) 43 Differential geometry (53-XX) 41 Statistical mechanics, structure of matter (82-XX) 29 Quantum theory (81-XX) 26 Combinatorics (05-XX) 21 Real functions (26-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Functions of a complex variable (30-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 12 Abstract harmonic analysis (43-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Ordinary differential equations (34-XX) 10 Number theory (11-XX) 8 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 7 General topology (54-XX) 7 Statistics (62-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Systems theory; control (93-XX) 5 Topological groups, Lie groups (22-XX) 5 Mechanics of deformable solids (74-XX) 4 Difference and functional equations (39-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Operations research, mathematical programming (90-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)