# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 81 Publications since 1979, including 4 Books
all top 5

#### Co-Authors

 41 single-authored 5 Woyczynski, Wojbor A. 4 Hariya, Yuu 4 Yokoyama, Satoshi 4 Yor, Marc 2 Biler, Piotr 2 Bolthausen, Erwin 2 Gao, Yueyuan 2 Hilhorst, Danielle 2 Hirsch, Francis 2 Otobe, Tatsushi 2 Sasada, Makiko 2 Uchiyama, Kôhei 2 Xie, Bin 1 Chiyonobu, Taizo 1 De Masi, Anna 1 Dembo, Amir 1 Denis, Clément 1 Handa, Kenji 1 Hoshino, Masato 1 Inoue, Atsushi 1 Ishitani, Kensuke 1 Izuhara, Hirofumi 1 Lebowitz, Joel Louis 1 Mimura, Masayasu 1 Nagai, Hideo 1 Nishijima, Yuto 1 Nishikawa, Takao 1 Ohnawa, Masashi 1 Olla, Stefano 1 Osada, Hirofumi 1 Presutti, Errico 1 Quastel, Jeremy 1 Sakagawa, Hironobu 1 Sauer, Martin J. 1 Spohn, Herbert 1 Suda, Hayate 1 Surgailis, Donatas 1 Suzuki, Yukihito 1 Toukairin, Kou 1 Tsunoda, Kenkichi 1 Urabe, Chiyori 1 Vares, Maria Eulalia 1 Wakano, Joe Yuichiro 1 Yau, Horng-Tzer
all top 5

#### Serials

 8 Probability Theory and Related Fields 5 Stochastic Processes and their Applications 4 The Annals of Probability 4 Journal of the Mathematical Society of Japan 3 Communications in Mathematical Physics 3 Journal of Statistical Physics 2 Journal of Functional Analysis 2 Osaka Journal of Mathematics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Probability and Mathematical Statistics 1 Sūgaku 1 Sugaku Expositions 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Stochastics and Stochastics Reports 1 Electronic Communications in Probability 1 Markov Processes and Related Fields 1 Acta Mathematica Sinica. English Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Studies in Pure Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Mathematics 1 Networks and Heterogeneous Media 1 RIMS Kôkyûroku Bessatsu 1 Communications in Mathematics and Statistics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 SpringerBriefs in Probability and Mathematical Statistics
all top 5

#### Fields

 75 Probability theory and stochastic processes (60-XX) 35 Statistical mechanics, structure of matter (82-XX) 31 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

66 Publications have been cited 742 times in 581 Documents Cited by Year
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1998
Motion by mean curvature from the Ginzburg-Landau $$\nabla\phi$$ interface model. Zbl 0884.58098
Funaki, T.; Spohn, H.
1997
Random motion of strings and related stochastic evolution equations. Zbl 0531.60095
1983
A certain class of diffusion processes associated with nonlinear parabolic equations. Zbl 0546.60081
1984
Probabilistic construction of the solution of some higher order parabolic differential equation. Zbl 0433.35039
1979
Stochastic interface models. Zbl 1119.60081
2005
Fluctuations for $$\nabla \varphi$$ interface model on a wall. Zbl 1055.60096
2001
The scaling limit for a stochastic PDE and the separation of phases. Zbl 0834.60066
Funaki, T.
1995
KPZ equation, its renormalization and invariant measures. Zbl 1327.60128
2015
Stationary states of random Hamiltonian systems. Zbl 0801.60093
Fritz, J.; Funaki, T.; Lebowitz, J. L.
1994
The reversible measures of multi-dimensional Ginzburg-Landau type continuum model. Zbl 0767.60052
1991
A stochastic partial differential equation with values in a manifold. Zbl 0768.60055
1992
Gibbs-Cox random fields and Burgers turbulence. Zbl 0838.60016
Funaki, T.; Surgailis, D.; Woyczynski, W. A.
1995
Regularity properties for stochastic partial differential equations of parabolic type. Zbl 0770.60062
1991
Singular limit for stochastic reaction-diffusion equation and generation of random interfaces. Zbl 0943.60060
Funaki, T.
1999
On a new derivation of the Navier-Stokes equation. Zbl 0404.35079
1979
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1999
A coupled KPZ equation, its two types of approximations and existence of global solutions. Zbl 1370.60104
2017
The diffusion approximation of the spatially homogeneous Boltzmann equation. Zbl 0612.60095
1985
Integration by parts formulae for Wiener measures on a path space between two curves. Zbl 1114.60046
2007
Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams. Zbl 1204.82005
2010
Hydrodynamic limit for lattice gas reversible under Bernoulli measures. Zbl 0840.60091
Funaki, T.; Uchiyama, K.; Yau, H. T.
1996
Construction of a solution of random transport equation with boundary condition. Zbl 0405.60067
Funaki, T.
1979
Large deviations for $$\nabla\varphi$$ interface model and derivation of free boundary problems. Zbl 1221.60138
2004
A stochastic heat equation with the distributions of Lévy processes as its invariant measures. Zbl 1157.60063
2009
Hydrodynamic limit for $$\nabla\varphi$$ interface model on a wall. Zbl 1029.60079
2003
A link between microscopic and macroscopic models of self-organized aggregation. Zbl 1262.35202
Funaki, Tadahisa; Izuhara, Hirofumi; Mimura, Masayasu; Urabe, Chiyori
2012
Lectures on random interfaces. Zbl 1416.60007
2016
Concentration under scaling limits for weakly pinned Gaussian random walks. Zbl 1180.60077
Bolthausen, Erwin; Funaki, Tadahisa; Otobe, Tatsushi
2009
Hydrodynamic limit of one-dimensional exclusion processes with speed change. Zbl 0725.60114
Funaki, T.; Handa, K.; Uchiyama, K.
1991
Zero temperature limit for interacting Brownian particles. I: Motion of a single body. Zbl 1121.82028
2004
Free boundary problem from stochastic lattice gas model. Zbl 0935.60094
Funaki, T.
1999
Hydrodynamic limit for exclusion processes. Zbl 1404.60150
2018
Degenerative convergence of diffusion process toward a submanifold by strong drift. Zbl 0788.58059
1993
Zero temperature limit for interacting Brownian particles. II: Coagulation in one dimension. Zbl 1122.82029
2004
Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model. Zbl 0671.60104
1989
Dichotomy in a scaling limit under Wiener measure with density. Zbl 1128.60021
2007
Wiener integrals for centered Bessel and related processes. II. Zbl 1112.60042
Funaki, Tadahisa; Hariya, Yuu; Yor, Marc
2006
Fast-reaction limit for Glauber-Kawasaki dynamics with two components. Zbl 07083098
De Masi, A.; Funaki, T.; Presutti, E.; Vares, M. E.
2019
Motion by mean curvature from Glauber-Kawasaki dynamics. Zbl 07115612
2019
Large deviations for the Ginzburg-Landau $$\nabla \varphi$$ interface model. Zbl 1011.60082
Funaki, T.; Nishikawa, T.
2001
Interacting particle approximation for fractal Burgers equation. Zbl 0931.60087
Funaki, T.; Woyczyński, W. A.
1998
Fluctuations in an evolutional model of two-dimensional Young diagrams. Zbl 1271.82013
2013
Lectures on probability theory and statistics. Ecole d’Eté de Probabilités de Saint-Flour XXXIII – 2003. Lectures given at the 33rd probability summer school, Saint-Flour, France, July 6–23, 2003. Zbl 1084.60005
2005
Convergence of a finite volume scheme for a stochastic conservation law involving a $$Q$$-Brownian motion. Zbl 1395.65038
Funaki, Tadahisa; Gao, Yueyuan; Hilhorst, Danielle
2018
On diffusive motion of closed curves. Zbl 0629.58030
1988
Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model. Zbl 0659.60132
1989
The diffusion approximation of the Boltzmann equation of Maxwellian molecules. Zbl 0536.60098
1983
Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations. Zbl 1310.34080
Funaki, Tadahisa; Ohnawa, Masashi; Suzuki, Yukihito; Yokoyama, Satoshi
2015
Infinitesimal invariance for the coupled KPZ equations. Zbl 1334.60109
2015
A scaling limit for weakly pinned Gaussian random walks. Zbl 1135.60341
2008
Wiener integrals for centered powers of Bessel processes. I. Zbl 1123.60035
Funaki, T.; Hariya, Y.; Yor, M.
2007
Dynamic approach to a stochastic domination: the FKG and Brascamp-Lieb inequalities. Zbl 1139.82016
2007
Invariant measures in coupled KPZ equations. Zbl 1442.82019
2019
Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation. Zbl 1418.60075
2019
Curvature motion perturbed by a direction-dependent colored noise. Zbl 1405.60090
Denis, Clément; Funaki, Tadahisa; Yokoyama, Satoshi
2018
Nonlinear stochastic PDEs. Hydrodynamic limit and Burgers’ turbulence. Based on the proceedings of a workshop held at IMA, University of Minnesota, MN, USA during the 1993-94 IMA program on emerging applications of probability. Zbl 0832.00040
Funaki, Tadahisa (ed.); Woyczynski, Wojbor A. (ed.)
1996
Stochastic analysis on large scale interacting systems. Papers from the 11th international conference, Hayama, Japan, July 17–26, 2002 and the international conference on stochastic analysis and statistical mechanics, Kyoto, Japan, July 29–30, 2002. Zbl 1050.60001
2004
Equivalence of ensembles under inhomogeneous conditioning and its applications to random Young diagrams. Zbl 1302.82010
2014
Derivation of replicator-mutator equations from a model in population genetics. Zbl 1371.92092
Wakano, Joe Yuichiro; Funaki, Tadahisa; Yokoyama, Satoshi
2017
Probability models for phase separation and the equations of motion for interfaces. Zbl 1246.82066
1998
On the construction of Wiener integrals with respect to certain pseudo-Bessel processes. Zbl 1110.60055
Funaki, T.; Hariya, Y.; Hirsch, F.; Yor, M.
2006
On some Fourier aspects of the construction of certain Wiener integrals. Zbl 1113.60055
Funaki, T.; Hariya, Y.; Hirsch, F.; Yor, M.
2007
Random motion of strings and stochastic differential equations on the space $$C([0,1],R^ d)$$. Zbl 0546.60059
1984
Scaling limits for weakly pinned random walks with two large deviation minimizers. Zbl 1197.60090
2010
The hydrodynamic limit for a system with interactions prescribed by Ginzburg-Landau type random Hamiltonian. Zbl 0729.60105
1991
Fast-reaction limit for Glauber-Kawasaki dynamics with two components. Zbl 07083098
De Masi, A.; Funaki, T.; Presutti, E.; Vares, M. E.
2019
Motion by mean curvature from Glauber-Kawasaki dynamics. Zbl 07115612
2019
Invariant measures in coupled KPZ equations. Zbl 1442.82019
2019
Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation. Zbl 1418.60075
2019
Hydrodynamic limit for exclusion processes. Zbl 1404.60150
2018
Convergence of a finite volume scheme for a stochastic conservation law involving a $$Q$$-Brownian motion. Zbl 1395.65038
Funaki, Tadahisa; Gao, Yueyuan; Hilhorst, Danielle
2018
Curvature motion perturbed by a direction-dependent colored noise. Zbl 1405.60090
Denis, Clément; Funaki, Tadahisa; Yokoyama, Satoshi
2018
A coupled KPZ equation, its two types of approximations and existence of global solutions. Zbl 1370.60104
2017
Derivation of replicator-mutator equations from a model in population genetics. Zbl 1371.92092
Wakano, Joe Yuichiro; Funaki, Tadahisa; Yokoyama, Satoshi
2017
Lectures on random interfaces. Zbl 1416.60007
2016
KPZ equation, its renormalization and invariant measures. Zbl 1327.60128
2015
Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations. Zbl 1310.34080
Funaki, Tadahisa; Ohnawa, Masashi; Suzuki, Yukihito; Yokoyama, Satoshi
2015
Infinitesimal invariance for the coupled KPZ equations. Zbl 1334.60109
2015
Equivalence of ensembles under inhomogeneous conditioning and its applications to random Young diagrams. Zbl 1302.82010
2014
Fluctuations in an evolutional model of two-dimensional Young diagrams. Zbl 1271.82013
2013
A link between microscopic and macroscopic models of self-organized aggregation. Zbl 1262.35202
Funaki, Tadahisa; Izuhara, Hirofumi; Mimura, Masayasu; Urabe, Chiyori
2012
Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams. Zbl 1204.82005
2010
Scaling limits for weakly pinned random walks with two large deviation minimizers. Zbl 1197.60090
2010
A stochastic heat equation with the distributions of Lévy processes as its invariant measures. Zbl 1157.60063
2009
Concentration under scaling limits for weakly pinned Gaussian random walks. Zbl 1180.60077
Bolthausen, Erwin; Funaki, Tadahisa; Otobe, Tatsushi
2009
A scaling limit for weakly pinned Gaussian random walks. Zbl 1135.60341
2008
Integration by parts formulae for Wiener measures on a path space between two curves. Zbl 1114.60046
2007
Dichotomy in a scaling limit under Wiener measure with density. Zbl 1128.60021
2007
Wiener integrals for centered powers of Bessel processes. I. Zbl 1123.60035
Funaki, T.; Hariya, Y.; Yor, M.
2007
Dynamic approach to a stochastic domination: the FKG and Brascamp-Lieb inequalities. Zbl 1139.82016
2007
On some Fourier aspects of the construction of certain Wiener integrals. Zbl 1113.60055
Funaki, T.; Hariya, Y.; Hirsch, F.; Yor, M.
2007
Wiener integrals for centered Bessel and related processes. II. Zbl 1112.60042
Funaki, Tadahisa; Hariya, Yuu; Yor, Marc
2006
On the construction of Wiener integrals with respect to certain pseudo-Bessel processes. Zbl 1110.60055
Funaki, T.; Hariya, Y.; Hirsch, F.; Yor, M.
2006
Stochastic interface models. Zbl 1119.60081
2005
Lectures on probability theory and statistics. Ecole d’Eté de Probabilités de Saint-Flour XXXIII – 2003. Lectures given at the 33rd probability summer school, Saint-Flour, France, July 6–23, 2003. Zbl 1084.60005
2005
Large deviations for $$\nabla\varphi$$ interface model and derivation of free boundary problems. Zbl 1221.60138
2004
Zero temperature limit for interacting Brownian particles. I: Motion of a single body. Zbl 1121.82028
2004
Zero temperature limit for interacting Brownian particles. II: Coagulation in one dimension. Zbl 1122.82029
2004
Stochastic analysis on large scale interacting systems. Papers from the 11th international conference, Hayama, Japan, July 17–26, 2002 and the international conference on stochastic analysis and statistical mechanics, Kyoto, Japan, July 29–30, 2002. Zbl 1050.60001
2004
Hydrodynamic limit for $$\nabla\varphi$$ interface model on a wall. Zbl 1029.60079
2003
Fluctuations for $$\nabla \varphi$$ interface model on a wall. Zbl 1055.60096
2001
Large deviations for the Ginzburg-Landau $$\nabla \varphi$$ interface model. Zbl 1011.60082
Funaki, T.; Nishikawa, T.
2001
Singular limit for stochastic reaction-diffusion equation and generation of random interfaces. Zbl 0943.60060
Funaki, T.
1999
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1999
Free boundary problem from stochastic lattice gas model. Zbl 0935.60094
Funaki, T.
1999
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1998
Interacting particle approximation for fractal Burgers equation. Zbl 0931.60087
Funaki, T.; Woyczyński, W. A.
1998
Probability models for phase separation and the equations of motion for interfaces. Zbl 1246.82066
1998
Motion by mean curvature from the Ginzburg-Landau $$\nabla\phi$$ interface model. Zbl 0884.58098
Funaki, T.; Spohn, H.
1997
Hydrodynamic limit for lattice gas reversible under Bernoulli measures. Zbl 0840.60091
Funaki, T.; Uchiyama, K.; Yau, H. T.
1996
Nonlinear stochastic PDEs. Hydrodynamic limit and Burgers’ turbulence. Based on the proceedings of a workshop held at IMA, University of Minnesota, MN, USA during the 1993-94 IMA program on emerging applications of probability. Zbl 0832.00040
1996
The scaling limit for a stochastic PDE and the separation of phases. Zbl 0834.60066
Funaki, T.
1995
Gibbs-Cox random fields and Burgers turbulence. Zbl 0838.60016
Funaki, T.; Surgailis, D.; Woyczynski, W. A.
1995
Stationary states of random Hamiltonian systems. Zbl 0801.60093
Fritz, J.; Funaki, T.; Lebowitz, J. L.
1994
Degenerative convergence of diffusion process toward a submanifold by strong drift. Zbl 0788.58059
1993
A stochastic partial differential equation with values in a manifold. Zbl 0768.60055
1992
The reversible measures of multi-dimensional Ginzburg-Landau type continuum model. Zbl 0767.60052
1991
Regularity properties for stochastic partial differential equations of parabolic type. Zbl 0770.60062
1991
Hydrodynamic limit of one-dimensional exclusion processes with speed change. Zbl 0725.60114
Funaki, T.; Handa, K.; Uchiyama, K.
1991
The hydrodynamic limit for a system with interactions prescribed by Ginzburg-Landau type random Hamiltonian. Zbl 0729.60105
1991
Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model. Zbl 0671.60104
1989
Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model. Zbl 0659.60132
1989
On diffusive motion of closed curves. Zbl 0629.58030
1988
The diffusion approximation of the spatially homogeneous Boltzmann equation. Zbl 0612.60095
1985
A certain class of diffusion processes associated with nonlinear parabolic equations. Zbl 0546.60081
1984
Random motion of strings and stochastic differential equations on the space $$C([0,1],R^ d)$$. Zbl 0546.60059
1984
Random motion of strings and related stochastic evolution equations. Zbl 0531.60095
1983
The diffusion approximation of the Boltzmann equation of Maxwellian molecules. Zbl 0536.60098
1983
Probabilistic construction of the solution of some higher order parabolic differential equation. Zbl 0433.35039
1979
On a new derivation of the Navier-Stokes equation. Zbl 0404.35079
1979
Construction of a solution of random transport equation with boundary condition. Zbl 0405.60067
Funaki, T.
1979
all top 5

#### Cited by 676 Authors

 33 Funaki, Tadahisa 12 Albeverio, Sergio A. 12 Woyczynski, Wojbor A. 11 Röckner, Michael 10 Bernardin, Cédric 10 Xie, Bin 9 Olla, Stefano 8 Deuschel, Jean-Dominique 8 Mazzucchi, Sonia 8 Zambotti, Lorenzo 7 Allouba, Hassan 7 Shaposhnikov, Stanislav V. 7 Zhang, Tusheng S. 6 Andres, Sebastian 6 Bertini, Lorenzo Bertini 6 Brzeźniak, Zdzisław 6 Jara, Milton D. 6 Leonenko, Nikolai N. 6 Simon, Marielle 6 Toninelli, Fabio Lucio 6 Yokoyama, Satoshi 5 Alibaud, Nathaël 5 Buttà, Paolo 5 Duan, Jinqiao 5 Hariya, Yuu 5 Khoshnevisan, Davar 5 Kondrat’yev, Yuriĭ Grygorovych 5 Külske, Christof 5 Landim, Claudio 5 Muravnik, Andreĭ Borisovich 5 Nane, Erkan 5 Orsingher, Enzo 5 Sasada, Makiko 5 Weber, Hendrik 5 Wu, Jianglun 4 Biler, Piotr 4 Blömker, Dirk 4 Conlon, Joseph G. 4 Cotar, Codina 4 Giacomin, Giambattista 4 Gonçalves, Patrícia C. 4 Gubinelli, Massimiliano 4 Hairer, Martin 4 Kaikina, Elena Igorevna 4 Karch, Grzegorz 4 Kawabi, Hiroshi 4 Liu, Jianguo 4 Lv, Guangying 4 Manita, Oxana A. 4 Otobe, Tatsushi 4 Perkowski, Nicolas 4 Röger, Matthias 4 Shen, Hao 4 Spencer, Thomas C. 4 Spohn, Herbert 4 Tsunoda, Kenkichi 4 Tugaut, Julian 4 Wang, Weike 4 Xu, Lihu 4 Xu, Lu 4 Zabczyk, Jerzy 4 Zhang, Xicheng 3 Biskup, Marek 3 Bogachev, Vladimir Igorevich 3 Bonaccorsi, Stefano 3 Brassesco, Stella 3 Csörgő, Miklós 3 Dawson, Donald Andrew 3 D’Ovidio, Mirko 3 Droniou, Jérôme 3 Foondun, Mohammud 3 Gao, Hongjun 3 Goudenège, Ludovic 3 Grothaus, Martin 3 Hayashi, Nakao 3 Joseph, Mathew 3 Kim, Yong Jung 3 Lacoin, Hubert 3 Liu, Zuhan 3 Lu, Jianfeng 3 Méléard, Sylvie 3 Naumkin, Pavel Ivanovich 3 Nishikawa, Takao 3 Pasurek, Tatiana 3 Quastel, Jeremy 3 Ruiz-Medina, María Dolores 3 Souganidis, Panagiotis E. 3 Tarasov, Vasily E. 2 Achleitner, Franz 2 Ambrosio, Luigi 2 Andreianov, Boris 2 Anh, Vo V. 2 Antonopoulou, Dimitra C. 2 Beghin, Luisa 2 Belopol’skaya, Yana Isaevna 2 Bianchi, Luigi Amedeo 2 Bolthausen, Erwin 2 Bounebache, Said Karim 2 Budhiraja, Amarjit S. 2 Chandra, Ajay ...and 576 more Authors
all top 5

#### Cited in 164 Serials

 60 Stochastic Processes and their Applications 31 Communications in Mathematical Physics 31 Probability Theory and Related Fields 28 Journal of Statistical Physics 25 The Annals of Probability 15 Journal of Functional Analysis 15 The Annals of Applied Probability 14 Journal of Differential Equations 14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Transactions of the American Mathematical Society 11 Journal of Theoretical Probability 10 Archive for Rational Mechanics and Analysis 10 Journal of Mathematical Analysis and Applications 10 Potential Analysis 9 Journal of Mathematical Physics 9 Electronic Journal of Probability 9 Stochastics and Dynamics 5 Computers & Mathematics with Applications 5 Nonlinearity 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Stochastic Analysis and Applications 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Bulletin des Sciences Mathématiques 5 Acta Mathematica Sinica. English Series 5 Journal of Evolution Equations 5 Stochastics 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Journal of the Mathematical Society of Japan 4 Statistics & Probability Letters 4 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Sciences (New York) 4 Discrete and Continuous Dynamical Systems. Series B 3 Reviews in Mathematical Physics 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Applied Numerical Mathematics 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 3 Doklady Mathematics 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Science China. Mathematics 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Automatica 2 Czechoslovak Mathematical Journal 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Osaka Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 SIAM Journal on Control and Optimization 2 Acta Mathematicae Applicatae Sinica. English Series 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Stochastics and Stochastics Reports 2 Journal of Nonlinear Science 2 SIAM Journal on Scientific Computing 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Electronic Communications in Probability 2 Bernoulli 2 Nonlinear Dynamics 2 Methodology and Computing in Applied Probability 2 Annales Henri Poincaré 2 Brazilian Journal of Probability and Statistics 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Hyperbolic Differential Equations 2 Complex Variables and Elliptic Equations 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Networks and Heterogeneous Media 2 Probability Surveys 2 Communications in Mathematics and Statistics 1 International Journal of Modern Physics B 1 Advances in Applied Probability 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Physica A 1 Physics Reports 1 Stochastics 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 BIT 1 Duke Mathematical Journal 1 Journal of Applied Probability 1 Mathematische Nachrichten ...and 64 more Serials
all top 5

#### Cited in 38 Fields

 423 Probability theory and stochastic processes (60-XX) 281 Partial differential equations (35-XX) 175 Statistical mechanics, structure of matter (82-XX) 40 Numerical analysis (65-XX) 37 Fluid mechanics (76-XX) 26 Dynamical systems and ergodic theory (37-XX) 23 Real functions (26-XX) 23 Operator theory (47-XX) 17 Biology and other natural sciences (92-XX) 16 Quantum theory (81-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Ordinary differential equations (34-XX) 10 Potential theory (31-XX) 10 Mechanics of deformable solids (74-XX) 8 Measure and integration (28-XX) 8 Integral equations (45-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Differential geometry (53-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Functional analysis (46-XX) 4 Combinatorics (05-XX) 4 Statistics (62-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)