## Müller, Carl E.

Compute Distance To:
 Author ID: muller.carl-e Published as: Mueller, Carl; Mueller, C.; Mueller, Carl E.; Müller, Carl E. Homepage: http://web.math.rochester.edu/people/faculty/cmlr/ External Links: MGP
 Documents Indexed: 80 Publications since 1981 Co-Authors: 39 Co-Authors with 58 Joint Publications 1,030 Co-Co-Authors
all top 5

### Co-Authors

 19 single-authored 9 Tribe, Roger P. 8 Dalang, Robert C. 6 Fleischmann, Klaus 6 Mytnik, Leonid 5 Perkins, Edwin A. 4 Sowers, Richard B. 3 Dawson, Donald Andrew 3 Lee, Kijung 3 Xiao, Yimin 2 Goldberg, Samuel I. 2 Gomez, Alejandro 2 Joseph, Mathew 2 Khoshnevisan, Davar 2 Kim, Kunwoo 2 Lee, Jong Jun 2 Li, Yi 2 Neuman, Eyal 2 Quastel, Jeremy 2 Stan, Aurel Iulian 2 Weissler, Fred B. 2 Wu, Zhixin 2 Xiong, Jie 1 Athreya, Siva R. 1 Bakhtin, Yuri Yu. 1 Burdzy, Krzysztof 1 Cranston, Michael Craig 1 Doering, Charles Rogers 1 Lee, Cheuk-Yin 1 Liu, Li 1 Nualart, David 1 Pardoux, Etienne 1 Podszus, T. 1 Ryzhik, Lenya 1 Salins, Michael 1 Shiu, Shang-Yuan 1 Smereka, Peter 1 Starr, Shannon L. 1 Truong, Giang 1 Villalba-Chávez, S. 1 Vogt, Pascal 1 Wei, Ang 1 Zambotti, Lorenzo
all top 5

### Serials

 18 The Annals of Probability 9 Probability Theory and Related Fields 8 Electronic Journal of Probability 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Journal of Theoretical Probability 2 Stochastic Processes and their Applications 2 Stochastics and Stochastics Reports 2 Electronic Communications in Probability 2 Communications on Stochastic Analysis 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Physica A 1 Physics Letters. B 1 Studia Mathematica 1 Canadian Journal of Mathematics 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Markov Processes and Related Fields 1 Involve
all top 5

### Fields

 75 Probability theory and stochastic processes (60-XX) 41 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

70 Publications have been cited 784 times in 553 Documents Cited by Year
On the support of solutions to the heat equation with noise. Zbl 0749.60057
Mueller, Carl
1991
The heat equation with Lévy noise. Zbl 0934.60056
Mueller, Carl
1998
Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022
Mueller, Carl E.; Weissler, Fred B.
1982
Hitting properties of a random string. Zbl 1010.60059
Mueller, C.; Tribe, R.
2002
Hitting properties of parabolic s.p.d.e.’s with reflection. Zbl 1128.60050
Dalang, Robert C.; Mueller, C.; Zambotti, L.
2006
Stochastic p.d.e.’s arising from the long range contact and long range voter processes. Zbl 0827.60050
Müller, Carl E.; Tribe, R.
1995
Single point blow-up for a general semilinear heat equation. Zbl 0597.35057
Mueller, Carl E.; Weissler, Fred B.
1985
Effect of noise on front propagation in reaction-diffusion equations of KPP type. Zbl 1222.35105
Mueller, Carl; Mytnik, Leonid; Quastel, Jeremy
2011
Some non-linear s. p. d. e’s that are second order in time. Zbl 1013.60044
Dalang, Robert C.; Mueller, Carl
2003
Long time existence for the wave equation with a noise term. Zbl 0884.60054
Mueller, Carl
1997
Random travelling waves for the KPP equation with noise. Zbl 0820.60039
Mueller, Carl; Sowers, Richard B.
1995
Long time existence for the heat equation with a noise term. Zbl 0729.60055
Mueller, Carl
1991
Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality. Zbl 1025.60027
Doering, Charles R.; Mueller, Carl; Smereka, Peter
2003
The compact support property for solutions to the heat equation with noise. Zbl 0767.60054
Mueller, Carl; Perkins, Edwin A.
1992
Coupling and invariant measures for the heat equation with noise. Zbl 0795.60056
Mueller, Carl
1993
Blowup for the heat equation with a noise term. Zbl 0792.60056
Mueller, Carl; Sowers, Richard
1993
Intermittency properties in a hyperbolic Anderson problem. Zbl 1196.60116
Dalang, Robert C.; Mueller, Carl
2009
A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other p.d.e.’s. Zbl 1149.60040
Dalang, Robert C.; Mueller, Carl; Tribe, Roger
2008
Regularity of the density for the stochastic heat equation. Zbl 1191.60077
Mueller, Carl E.; Nualart, David
2008
Nonuniqueness for a parabolic SPDE with $$\frac{3}{4}-\varepsilon$$-Hölder diffusion coefficients. Zbl 1301.60080
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2014
The critical parameter for the heat equation with a noise term to blow up in finite time. Zbl 1044.60051
Mueller, Carl
2000
The length of the longest increasing subsequence of a random Mallows permutation. Zbl 1270.60014
Mueller, Carl; Starr, Shannon
2013
A unification of Strassen’s law and Levy’s modulus of continuity. Zbl 0463.60031
Mueller, Carl
1981
Polarity of points for Gaussian random fields. Zbl 1390.60135
Dalang, Robert C.; Mueller, Carl; Xiao, Yimin
2017
A phase transition for a stochastic PDE related to the contact process. Zbl 0809.60072
Mueller, Carl; Tribe, Roger
1994
The heat equation with time-independent multiplicative stable Lévy noise. Zbl 1120.60060
Mueller, Carl; Mytnik, Leonid; Stan, Aurel
2006
Long-time existence for signed solutions of the heat equation with a noise term. Zbl 0897.60072
Mueller, Carl
1998
Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations. Zbl 1260.60116
Burdzy, K.; Mueller, C.; Perkins, E. A.
2010
Strong uniqueness for an SPDE via backward doubly stochastic differential equations. Zbl 1286.60065
Gomez, Alejandro; Lee, Kijung; Mueller, Carl; Wei, Ang; Xiong, Jie
2013
Some tools and results for parabolic stochastic partial differential equations. Zbl 1168.60004
Mueller, Carl
2009
Strong invariance and noise-comparison principles for some parabolic stochastic PDEs. Zbl 1367.60082
Joseph, Mathew; Khoshnevisan, Davar; Mueller, Carl
2017
The critical exponent for a stochastic PDE to hit zero. Zbl 0922.60057
Mueller, Carl; Pardoux, Etienne
1999
Small noise asymptotics of traveling waves. Zbl 1155.60325
Mueller, C.; Mytnik, L.; Quastel, J.
2008
Finite width for a random stationary interface. Zbl 0890.60056
Mueller, C.; Tribe, R.
1997
Finite time extinction of superprocesses with catalysts. Zbl 1044.60073
Dawson, Donald A.; Fleischmann, Klaus; Mueller, Carl
2000
A super-Brownian motion with a locally infinite catalytic mass. Zbl 0924.60076
Fleischmann, Klaus; Mueller, Carl
1997
On the boundary of the support of super-Brownian motion. Zbl 1412.60123
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2017
Strassen’s law for local time. Zbl 0516.60031
Mueller, Carl
1983
Brownian motion, geometry, and generalizations of Picard’s little theorem. Zbl 0523.60073
Goldberg, S. I.; Mueller, C.
1983
A singular parabolic {A}nderson model. Zbl 1071.60055
Mueller, Carl; Tribe, Roger
2004
The support of measure-valued branching processes in a random environment. Zbl 0853.60065
Dawson, Donald A.; Li, Y.; Mueller, C.
1995
A phase diagram for a stochastic reaction diffusion system. Zbl 1232.60051
Mueller, Carl; Tribe, Roger
2011
Erratum: “A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand”. Zbl 1247.60095
Mueller, Carl; Wu, Zhixin
2012
A stochastic moving boundary value problem. Zbl 1264.35285
Kim, Kunwoo; Mueller, Carl; Sowers, Richard B.
2010
Multiple points of the Brownian sheet in critical dimensions. Zbl 1386.60181
Dalang, Robert C.; Mueller, Carl
2015
Singularity of super-Brownian local time at a point catalyst. Zbl 0830.60079
Dawson, Donald A.; Fleischmann, Klaus; Li, Yi; Mueller, Carl
1995
The speed of a random front for stochastic reaction-diffusion equations with strong noise. Zbl 1466.35005
Mueller, Carl; Mytnik, Leonid; Ryzhik, Lenya
2021
Solutions of semilinear wave equation via stochastic cascades. Zbl 1331.60126
Bakhtin, Yuri; Mueller, Carl
2010
Some properties of superprocesses under a stochastic flow. Zbl 1171.60011
Lee, Kijung; Mueller, Carl; Xiong, Jie
2009
Limit results for two stochastic partial differential equations. Zbl 0749.60056
Mueller, Carl
1991
A connection between Strassen’s and Donsker-Varadhan’s laws of the iterated logarithm. Zbl 0691.60028
Mueller, Carl
1991
Singular initial conditions for the heat equation with a noise term. Zbl 0854.60057
Mueller, Carl
1996
A measure-valued process related to the parabolic Anderson model. Zbl 1030.60051
Mueller, C.; Tribe, R.
2002
Finite time extinction of catalytic branching processes. Zbl 0967.60082
Fleischmann, Klaus; Mueller, Carl
2000
A stochastic PDE arising as the limit of a long-range contact process, and its phase transition. Zbl 0812.60047
Mueller, Carl; Tribe, Roger
1994
Multiple points of Gaussian random fields. Zbl 1480.60089
Dalang, Robert C.; Lee, Cheuk Yin; Mueller, Carl; Xiao, Yimin
2021
The large scale behavior of super-Brownian motion in three dimensions with a single point source. Zbl 1328.60213
Fleischmann, Klaus; Mueller, Carl; Vogt, Pascal
2007
Stochastic PDE from the point of view of particle systems and duality. Zbl 1333.60141
Mueller, Carl
2015
A characterization of BMO and BMO$$_\rho$$. Zbl 0407.60086
Mueller, Carl
1982
On the extinction of measure-valued critical branching Brownian motion. Zbl 0694.60043
Liu, Li; Mueller, Carl
1989
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand. Zbl 1190.60053
Mueller, Carl E.; Wu, Zhixin
2009
Polarization-operator approach to optical signatures of axion-like particles in strong laser pulses. Zbl 1370.81215
Villalba-Chávez, S.; Podszus, T.; Müller, C.
2017
Can the stochastic wave equation with strong drift hit zero? Zbl 1412.60092
Lin, Kevin; Mueller, Carl
2019
Dissipation in parabolic SPDEs. Zbl 1434.60158
Khoshnevisan, Davar; Kim, Kunwoo; Mueller, Carl; Shiu, Shang-Yuan
2020
Exit times of diffusions. Zbl 0483.60078
Mueller, Carl
1982
Extinction for two parabolic stochastic PDE’s on the lattice. Zbl 0966.60060
Mueller, C.; Perkins, E.
2000
Brownian motion, geometry, and generalizations of Picard’s little theorem. Zbl 0501.58016
Goldberg, S. I.; Mueller, C.
1982
Super-Brownian motion with extra birth at one point. Zbl 1083.60069
Fleischmann, Klaus; Mueller, Carl
2004
A modulus for the 3-dimensional wave equation with noise: Dealing with a singular kernel. Zbl 0796.60070
Mueller, C.
1993
Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension. Zbl 07441186
Dalang, Robert C.; Mueller, Carl; Xiao, Yimin
2021
The speed of a random front for stochastic reaction-diffusion equations with strong noise. Zbl 1466.35005
Mueller, Carl; Mytnik, Leonid; Ryzhik, Lenya
2021
Multiple points of Gaussian random fields. Zbl 1480.60089
Dalang, Robert C.; Lee, Cheuk Yin; Mueller, Carl; Xiao, Yimin
2021
Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension. Zbl 07441186
Dalang, Robert C.; Mueller, Carl; Xiao, Yimin
2021
Dissipation in parabolic SPDEs. Zbl 1434.60158
Khoshnevisan, Davar; Kim, Kunwoo; Mueller, Carl; Shiu, Shang-Yuan
2020
Can the stochastic wave equation with strong drift hit zero? Zbl 1412.60092
Lin, Kevin; Mueller, Carl
2019
Polarity of points for Gaussian random fields. Zbl 1390.60135
Dalang, Robert C.; Mueller, Carl; Xiao, Yimin
2017
Strong invariance and noise-comparison principles for some parabolic stochastic PDEs. Zbl 1367.60082
Joseph, Mathew; Khoshnevisan, Davar; Mueller, Carl
2017
On the boundary of the support of super-Brownian motion. Zbl 1412.60123
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2017
Polarization-operator approach to optical signatures of axion-like particles in strong laser pulses. Zbl 1370.81215
Villalba-Chávez, S.; Podszus, T.; Müller, C.
2017
Multiple points of the Brownian sheet in critical dimensions. Zbl 1386.60181
Dalang, Robert C.; Mueller, Carl
2015
Stochastic PDE from the point of view of particle systems and duality. Zbl 1333.60141
Mueller, Carl
2015
Nonuniqueness for a parabolic SPDE with $$\frac{3}{4}-\varepsilon$$-Hölder diffusion coefficients. Zbl 1301.60080
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
2014
The length of the longest increasing subsequence of a random Mallows permutation. Zbl 1270.60014
Mueller, Carl; Starr, Shannon
2013
Strong uniqueness for an SPDE via backward doubly stochastic differential equations. Zbl 1286.60065
Gomez, Alejandro; Lee, Kijung; Mueller, Carl; Wei, Ang; Xiong, Jie
2013
Erratum: “A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand”. Zbl 1247.60095
Mueller, Carl; Wu, Zhixin
2012
Effect of noise on front propagation in reaction-diffusion equations of KPP type. Zbl 1222.35105
Mueller, Carl; Mytnik, Leonid; Quastel, Jeremy
2011
A phase diagram for a stochastic reaction diffusion system. Zbl 1232.60051
Mueller, Carl; Tribe, Roger
2011
Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations. Zbl 1260.60116
Burdzy, K.; Mueller, C.; Perkins, E. A.
2010
A stochastic moving boundary value problem. Zbl 1264.35285
Kim, Kunwoo; Mueller, Carl; Sowers, Richard B.
2010
Solutions of semilinear wave equation via stochastic cascades. Zbl 1331.60126
Bakhtin, Yuri; Mueller, Carl
2010
Intermittency properties in a hyperbolic Anderson problem. Zbl 1196.60116
Dalang, Robert C.; Mueller, Carl
2009
Some tools and results for parabolic stochastic partial differential equations. Zbl 1168.60004
Mueller, Carl
2009
Some properties of superprocesses under a stochastic flow. Zbl 1171.60011
Lee, Kijung; Mueller, Carl; Xiong, Jie
2009
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand. Zbl 1190.60053
Mueller, Carl E.; Wu, Zhixin
2009
A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other p.d.e.’s. Zbl 1149.60040
Dalang, Robert C.; Mueller, Carl; Tribe, Roger
2008
Regularity of the density for the stochastic heat equation. Zbl 1191.60077
Mueller, Carl E.; Nualart, David
2008
Small noise asymptotics of traveling waves. Zbl 1155.60325
Mueller, C.; Mytnik, L.; Quastel, J.
2008
The large scale behavior of super-Brownian motion in three dimensions with a single point source. Zbl 1328.60213
Fleischmann, Klaus; Mueller, Carl; Vogt, Pascal
2007
Hitting properties of parabolic s.p.d.e.’s with reflection. Zbl 1128.60050
Dalang, Robert C.; Mueller, C.; Zambotti, L.
2006
The heat equation with time-independent multiplicative stable Lévy noise. Zbl 1120.60060
Mueller, Carl; Mytnik, Leonid; Stan, Aurel
2006
A singular parabolic {A}nderson model. Zbl 1071.60055
Mueller, Carl; Tribe, Roger
2004
Super-Brownian motion with extra birth at one point. Zbl 1083.60069
Fleischmann, Klaus; Mueller, Carl
2004
Some non-linear s. p. d. e’s that are second order in time. Zbl 1013.60044
Dalang, Robert C.; Mueller, Carl
2003
Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality. Zbl 1025.60027
Doering, Charles R.; Mueller, Carl; Smereka, Peter
2003
Hitting properties of a random string. Zbl 1010.60059
Mueller, C.; Tribe, R.
2002
A measure-valued process related to the parabolic Anderson model. Zbl 1030.60051
Mueller, C.; Tribe, R.
2002
The critical parameter for the heat equation with a noise term to blow up in finite time. Zbl 1044.60051
Mueller, Carl
2000
Finite time extinction of superprocesses with catalysts. Zbl 1044.60073
Dawson, Donald A.; Fleischmann, Klaus; Mueller, Carl
2000
Finite time extinction of catalytic branching processes. Zbl 0967.60082
Fleischmann, Klaus; Mueller, Carl
2000
Extinction for two parabolic stochastic PDE’s on the lattice. Zbl 0966.60060
Mueller, C.; Perkins, E.
2000
The critical exponent for a stochastic PDE to hit zero. Zbl 0922.60057
Mueller, Carl; Pardoux, Etienne
1999
The heat equation with Lévy noise. Zbl 0934.60056
Mueller, Carl
1998
Long-time existence for signed solutions of the heat equation with a noise term. Zbl 0897.60072
Mueller, Carl
1998
Long time existence for the wave equation with a noise term. Zbl 0884.60054
Mueller, Carl
1997
Finite width for a random stationary interface. Zbl 0890.60056
Mueller, C.; Tribe, R.
1997
A super-Brownian motion with a locally infinite catalytic mass. Zbl 0924.60076
Fleischmann, Klaus; Mueller, Carl
1997
Singular initial conditions for the heat equation with a noise term. Zbl 0854.60057
Mueller, Carl
1996
Stochastic p.d.e.’s arising from the long range contact and long range voter processes. Zbl 0827.60050
Müller, Carl E.; Tribe, R.
1995
Random travelling waves for the KPP equation with noise. Zbl 0820.60039
Mueller, Carl; Sowers, Richard B.
1995
The support of measure-valued branching processes in a random environment. Zbl 0853.60065
Dawson, Donald A.; Li, Y.; Mueller, C.
1995
Singularity of super-Brownian local time at a point catalyst. Zbl 0830.60079
Dawson, Donald A.; Fleischmann, Klaus; Li, Yi; Mueller, Carl
1995
A phase transition for a stochastic PDE related to the contact process. Zbl 0809.60072
Mueller, Carl; Tribe, Roger
1994
A stochastic PDE arising as the limit of a long-range contact process, and its phase transition. Zbl 0812.60047
Mueller, Carl; Tribe, Roger
1994
Coupling and invariant measures for the heat equation with noise. Zbl 0795.60056
Mueller, Carl
1993
Blowup for the heat equation with a noise term. Zbl 0792.60056
Mueller, Carl; Sowers, Richard
1993
A modulus for the 3-dimensional wave equation with noise: Dealing with a singular kernel. Zbl 0796.60070
Mueller, C.
1993
The compact support property for solutions to the heat equation with noise. Zbl 0767.60054
Mueller, Carl; Perkins, Edwin A.
1992
On the support of solutions to the heat equation with noise. Zbl 0749.60057
Mueller, Carl
1991
Long time existence for the heat equation with a noise term. Zbl 0729.60055
Mueller, Carl
1991
Limit results for two stochastic partial differential equations. Zbl 0749.60056
Mueller, Carl
1991
A connection between Strassen’s and Donsker-Varadhan’s laws of the iterated logarithm. Zbl 0691.60028
Mueller, Carl
1991
On the extinction of measure-valued critical branching Brownian motion. Zbl 0694.60043
Liu, Li; Mueller, Carl
1989
Single point blow-up for a general semilinear heat equation. Zbl 0597.35057
Mueller, Carl E.; Weissler, Fred B.
1985
Strassen’s law for local time. Zbl 0516.60031
Mueller, Carl
1983
Brownian motion, geometry, and generalizations of Picard’s little theorem. Zbl 0523.60073
Goldberg, S. I.; Mueller, C.
1983
Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere. Zbl 0506.46022
Mueller, Carl E.; Weissler, Fred B.
1982
A characterization of BMO and BMO$$_\rho$$. Zbl 0407.60086
Mueller, Carl
1982
Exit times of diffusions. Zbl 0483.60078
Mueller, Carl
1982
Brownian motion, geometry, and generalizations of Picard’s little theorem. Zbl 0501.58016
Goldberg, S. I.; Mueller, C.
1982
A unification of Strassen’s law and Levy’s modulus of continuity. Zbl 0463.60031
Mueller, Carl
1981
all top 5

### Cited by 619 Authors

 24 Müller, Carl E. 21 Khoshnevisan, Davar 18 Dalang, Robert C. 16 Xiao, Yimin 11 Fleischmann, Klaus 11 Zhang, Tusheng S. 10 Balan, Raluca M. 9 Etheridge, Alison Mary 9 Foondun, Mohammud 9 Kim, Kunwoo 9 Mytnik, Leonid 9 Wang, Yongjin 8 Chen, Le 8 Perkins, Edwin A. 7 Bobkov, Sergey Germanovich 7 Corwin, Ivan Z. 7 Sanz-Solé, Marta 7 Tribe, Roger P. 7 Xie, Bin 7 Xiong, Jie 7 Zambotti, Lorenzo 6 Chen, Xia 6 Chen, Zhenlong 6 Conus, Daniel 6 Quastel, Jeremy 6 Sun, Xichao 5 Bo, Lijun 5 Chow, Pao-Liu 5 Dolbeault, Jean 5 Esteban, Maria J. 5 Joseph, Mathew 5 Nualart, David 5 Wu, Dongsheng 5 Yan, Litan 5 Yang, Juan 5 Yang, Xue 4 Brzeźniak, Zdzisław 4 Chong, Carsten 4 Cox, J. Theodore 4 Dawson, Donald Andrew 4 Groisman, Pablo 4 Hu, Yaozhong 4 Huang, Zhehao 4 Liu, Zhengrong 4 Loss, Michael 4 Nualart, Eulalia 4 Sowers, Richard B. 4 Tsai, Li-cheng 4 Tudor, Ciprian A. 4 Wu, Jianglun 3 Albeverio, Sergio A. 3 Borodin, Alexei 3 Chen, Yu-Ting 3 Derrida, Bernard 3 Funaki, Tadahisa 3 Han, Beom-Seok 3 Hausenblas, Erika 3 Herrero, Miguel Ángel 3 Kim, KyeongHun 3 Klenke, Achim 3 Kühn, Christian 3 Labbé, Cyril 3 Lacey, Andrew A. 3 Ledoux, Michel 3 Lee, Cheuk-Yin 3 Liu, Wei 3 Mountford, Thomas S. 3 Neuman, Eyal 3 Niu, Min 3 Peled, Ron 3 Quer-Sardanyons, Lluís 3 Shi, KeHua 3 Shiu, Shang-Yuan 3 Tayachi, Slim 3 Wang, Ran 3 Wang, Zhenzhen 3 Zhai, Jianliang 3 Zhou, Xiaowen 2 Athreya, Siva R. 2 Awonusika, Richard Olu 2 Bahlali, Khaled 2 Baldi, Paolo 2 Barbu, Viorel 2 Bentaleb, Abdellatif 2 Bertini, Lorenzo Bertini 2 Bezdek, Pavel 2 Bhatnagar, Nayantara 2 Blath, Jochen 2 Blömker, Dirk 2 Bodmann, Bernhard G. 2 Cancrini, Nicoletta 2 Cannizzaro, Giuseppe 2 Chen, Guanyu 2 Chen, Zhen-Qing 2 Da Prato, Giuseppe 2 Debussche, Arnaud 2 Doering, Charles Rogers 2 Duan, Jinqiao 2 Elad Altman, Henri 2 Evans, Steven Neil ...and 519 more Authors
all top 5

### Cited in 135 Serials

 54 Stochastic Processes and their Applications 49 The Annals of Probability 34 Probability Theory and Related Fields 25 Journal of Differential Equations 18 Electronic Journal of Probability 16 Journal of Theoretical Probability 16 The Annals of Applied Probability 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 14 Communications in Mathematical Physics 14 Journal of Functional Analysis 12 Journal of Mathematical Analysis and Applications 12 Journal of Statistical Physics 11 Statistics & Probability Letters 11 Potential Analysis 11 Bernoulli 11 Stochastic and Partial Differential Equations. Analysis and Computations 8 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 Stochastic Analysis and Applications 7 Stochastics and Dynamics 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Acta Mathematica Sinica. English Series 4 Theoretical Population Biology 4 Journal of Mathematical Sciences (New York) 4 Discrete and Continuous Dynamical Systems 4 Abstract and Applied Analysis 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Computers & Mathematics with Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Osaka Journal of Mathematics 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Physica D 3 Science in China. Series A 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Expositiones Mathematicae 3 Nonlinear Analysis. Real World Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Difference Equations 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Frontiers of Mathematics in China 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Bulletin of Mathematical Biology 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Advances in Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Random Operators and Stochastic Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Electronic Communications in Probability 2 The Journal of Fourier Analysis and Applications 2 Mathematical Problems in Engineering 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Science China. Mathematics 2 International Journal of Stochastic Analysis 2 Communications in Mathematics and Statistics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Semigroup Forum 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Acta Mathematica Sinica. New Series 1 Journal of Dynamics and Differential Equations 1 The Journal of Analysis ...and 35 more Serials
all top 5

### Cited in 40 Fields

 464 Probability theory and stochastic processes (60-XX) 240 Partial differential equations (35-XX) 49 Statistical mechanics, structure of matter (82-XX) 31 Biology and other natural sciences (92-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Numerical analysis (65-XX) 15 Operator theory (47-XX) 14 Real functions (26-XX) 12 Functional analysis (46-XX) 11 Measure and integration (28-XX) 9 Combinatorics (05-XX) 9 Systems theory; control (93-XX) 8 Potential theory (31-XX) 8 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 7 Special functions (33-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistics (62-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)