Edit Profile Peszat, Szymon Compute Distance To: Compute Author ID: peszat.szymon Published as: Peszat, S.; Peszat, Szymon External Links: MGP Documents Indexed: 45 Publications since 1992, including 2 Books all top 5 Co-Authors 11 single-authored 10 Zabczyk, Jerzy 8 Brzeźniak, Zdzisław 5 Komorowski, Tomasz 4 Goldys, Beniamin 2 Capiński, Marek 2 Russo, Francesco 2 Stettner, Łukasz 2 Szarek, Tomasz Jakub 1 Chojnowska-Michalik, Anna 1 Constantin, Adrian 1 Crisan, Dan O. 1 Dong, Zhao 1 Fannjiang, Albert C. 1 Imkeller, Peter 1 Kondrat, Grzegorz 1 Otobe, Yoshiki 1 Priola, Enrico 1 Ryzhik, Lenya 1 Seidler, Jan 1 Talarczyk, Anna 1 Tindel, Samy 1 Xu, Lihu 1 Zegarlinski, Boguslaw all top 5 Serials 3 The Annals of Probability 3 Stochastic Processes and their Applications 2 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Probability Theory and Related Fields 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Journal of Evolution Equations 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal of Statistical Physics 1 Nonlinearity 1 Czechoslovak Mathematical Journal 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Differential and Integral Equations 1 Mathematica Bohemica 1 Journal of Physics A: Mathematical and General 1 Stochastics and Stochastics Reports 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bernoulli 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Banach Center Publications 1 Encyclopedia of Mathematics and Its Applications all top 5 Fields 42 Probability theory and stochastic processes (60-XX) 14 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 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 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 796 times in 607 Documents Cited by ▼ Year ▼ Stochastic partial differential equations with Lévy noise. An evolution equation approach. Zbl 1205.60122Peszat, S.; Zabczyk, J. 290 2007 Strong Feller property and irreducibility for diffusions on Hilbert spaces. Zbl 0831.60083Peszat, Szymon; Zabczyk, Jerzy 61 1995 Nonlinear stochastic wave and heat equations. Zbl 0959.60044Peszat, Szymon; Zabczyk, Jerzy 49 2000 Stochastic evolution equations with a spatially homogeneous Wiener process. Zbl 0943.60048Peszat, Szymon; Zabczyk, Jerzy 43 1997 Stochastic two dimensional Euler equations. Zbl 1032.60055Brzeźniak, Zdzisław; Peszat, Szymon 35 2001 On ergodicity of some Markov processes. Zbl 1214.60035Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz 34 2010 Large deviation principle for stochastic evolution equations. Zbl 0792.60057Peszat, Szymon 33 1994 The Cauchy problem for a nonlinear stochastic wave equation in any dimension. Zbl 1375.60109Peszat, Szymon 32 2002 Space-time continuous solutions to SPDE’s driven by a homogeneous Wiener process. Zbl 0944.60075Brzeźniak, Zdzisław; Peszat, Szymon 27 1999 Stochastic heat and wave equations driven by an impulsive noise. Zbl 1115.60320Peszat, Szymon; Zabczyk, Jerzy 22 2006 On the existence of a solution to stochastic Navier-Stokes equations. Zbl 0976.60063Capiński, Marek; Peszat, Szymon 19 2001 Time regularity of solutions to linear equations with Lévy noise in infinite dimensions. Zbl 1262.60061Peszat, S.; Zabczyk, J. 16 2013 Time irregularity of generalized Ornstein-Uhlenbeck processes. Zbl 1205.60119Brzeźniak, Zdzisław; Goldys, Ben; Imkeller, Peter; Peszat, Szymon; Priola, Enrico; Zabczyk, Jerzy 16 2010 Strong local and global solutions for stochastic Navier-Stokes equations. Zbl 0985.35061Brzeźniak, Zdzisław; Peszat, Szymon 13 2000 Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations. Zbl 0882.60055Capiński, Marek; Peszat, Szymon 11 1997 Existence and uniqueness of the solution for stochastic equations on Banach spaces. Zbl 0886.60064Peszat, Szymon 11 1995 On a Sobolev space of functions of infinite number of variables. Zbl 0801.46040Peszat, Szymon 9 1993 Maximal inequalities and exponential estimates for stochastic convolutions in Banach spaces. Zbl 0978.60071Brzeźniak, Zdisław; Peszat, Szymon 8 2000 Continuity of stochastic convolutions. Zbl 1001.60056Brzeźniak, Zdzisław; Peszat, Szymon; Zabczyk, Jerzy 7 2001 Exponential tail estimates for infinite-dimensional stochastic convolutions. Zbl 0818.60050Peszat, Szymon 7 1992 Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator. Zbl 1231.47041Peszat, S. 5 2011 Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya 5 2009 Maximal inequalities and space-time regularity of stochastic convolutions. Zbl 0903.60047Peszat, Szymon; Seidler, Jan 5 1998 Second order PDEs with Dirichlet white noise boundary conditions. Zbl 1317.60075Brzeźniak, Zdzisław; Goldys, Ben; Peszat, Szymon; Russo, Francesco 4 2015 Time regularity for stochastic Volterra equations by the dilation theorem. Zbl 1322.60128Peszat, S.; Zabczyk, J. 4 2014 Hyperbolic equations with random boundary conditions. Zbl 1203.60082Brzeźniak, Zdzisław; Peszat, Szymon 4 2010 Lagrangian dynamics for a passive tracer in a class of Gaussian Markovian flows. Zbl 1058.60048Fannjiang, Albert; Komorowski, Tomasz; Peszat, Szymon 4 2002 Passive tracer in a flow corresponding to two-dimensional stochastic Navier-Stokes equations. Zbl 1273.76083Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz 3 2013 Stochastic heat and wave equations on a Lie group. Zbl 1203.60090Peszat, Szymon; Tindel, Samy 3 2010 Global existence of solutions of semilinear parabolic evolution equations. Zbl 1038.35025Constantin, Adrian; Peszat, Szymon 3 2000 Large-noise asymptotic for one-dimensional diffusions. Zbl 1072.60014Peszat, Szymon; Russo, Francesco 2 2005 Law equivalence of solutions of some linear stochastic equations in Hilbert spaces. Zbl 0809.60075Peszat, Szymon 2 1992 On some smoothening effects of the transition semigroup of a Lévy process. Zbl 1350.47056Dong, Zhao; Peszat, Szymon; Xu, Lihu 1 2016 Stochastic partial differential equations with Lévy noise (a few aspects). Zbl 1333.60142Peszat, Szymon 1 2015 Inverse problems for stochastic transport equations. Zbl 1322.35172Crisan, Dan; Otobe, Yoshiki; Peszat, Szymon 1 2015 Transport of a passive tracer by an irregular velocity field. Zbl 1157.76335Komorowski, Tomasz; Peszat, Szymon 1 2004 SPDEs driven by a homogeneous Wiener process. Zbl 1006.60060Peszat, Szymon 1 2002 Ergodicity for generalized Kawasaki dynamics. Zbl 0980.82019Kondrat, G.; Peszat, S.; Zegarlinski, B. 1 2000 Law equivalence of stochastic linear systems. Zbl 0933.60069Gołdys, Beniamin; Peszat, Szymon 1 1999 Sobolev spaces of functions on an infinite-dimensional domain. Zbl 0865.46022Peszat, Szymon 1 1996 Equivalence of distributions of some Ornstein-Uhlenbeck processes taking values in Hilbert space. Zbl 0772.60029Peszat, S. 1 1992 On some smoothening effects of the transition semigroup of a Lévy process. Zbl 1350.47056Dong, Zhao; Peszat, Szymon; Xu, Lihu 1 2016 Second order PDEs with Dirichlet white noise boundary conditions. Zbl 1317.60075Brzeźniak, Zdzisław; Goldys, Ben; Peszat, Szymon; Russo, Francesco 4 2015 Stochastic partial differential equations with Lévy noise (a few aspects). Zbl 1333.60142Peszat, Szymon 1 2015 Inverse problems for stochastic transport equations. Zbl 1322.35172Crisan, Dan; Otobe, Yoshiki; Peszat, Szymon 1 2015 Time regularity for stochastic Volterra equations by the dilation theorem. Zbl 1322.60128Peszat, S.; Zabczyk, J. 4 2014 Time regularity of solutions to linear equations with Lévy noise in infinite dimensions. Zbl 1262.60061Peszat, S.; Zabczyk, J. 16 2013 Passive tracer in a flow corresponding to two-dimensional stochastic Navier-Stokes equations. Zbl 1273.76083Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz 3 2013 Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator. Zbl 1231.47041Peszat, S. 5 2011 On ergodicity of some Markov processes. Zbl 1214.60035Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz 34 2010 Time irregularity of generalized Ornstein-Uhlenbeck processes. Zbl 1205.60119Brzeźniak, Zdzisław; Goldys, Ben; Imkeller, Peter; Peszat, Szymon; Priola, Enrico; Zabczyk, Jerzy 16 2010 Hyperbolic equations with random boundary conditions. Zbl 1203.60082Brzeźniak, Zdzisław; Peszat, Szymon 4 2010 Stochastic heat and wave equations on a Lie group. Zbl 1203.60090Peszat, Szymon; Tindel, Samy 3 2010 Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya 5 2009 Stochastic partial differential equations with Lévy noise. An evolution equation approach. Zbl 1205.60122Peszat, S.; Zabczyk, J. 290 2007 Stochastic heat and wave equations driven by an impulsive noise. Zbl 1115.60320Peszat, Szymon; Zabczyk, Jerzy 22 2006 Large-noise asymptotic for one-dimensional diffusions. Zbl 1072.60014Peszat, Szymon; Russo, Francesco 2 2005 Transport of a passive tracer by an irregular velocity field. Zbl 1157.76335Komorowski, Tomasz; Peszat, Szymon 1 2004 The Cauchy problem for a nonlinear stochastic wave equation in any dimension. Zbl 1375.60109Peszat, Szymon 32 2002 Lagrangian dynamics for a passive tracer in a class of Gaussian Markovian flows. Zbl 1058.60048Fannjiang, Albert; Komorowski, Tomasz; Peszat, Szymon 4 2002 SPDEs driven by a homogeneous Wiener process. Zbl 1006.60060Peszat, Szymon 1 2002 Stochastic two dimensional Euler equations. Zbl 1032.60055Brzeźniak, Zdzisław; Peszat, Szymon 35 2001 On the existence of a solution to stochastic Navier-Stokes equations. Zbl 0976.60063Capiński, Marek; Peszat, Szymon 19 2001 Continuity of stochastic convolutions. Zbl 1001.60056Brzeźniak, Zdzisław; Peszat, Szymon; Zabczyk, Jerzy 7 2001 Nonlinear stochastic wave and heat equations. Zbl 0959.60044Peszat, Szymon; Zabczyk, Jerzy 49 2000 Strong local and global solutions for stochastic Navier-Stokes equations. Zbl 0985.35061Brzeźniak, Zdzisław; Peszat, Szymon 13 2000 Maximal inequalities and exponential estimates for stochastic convolutions in Banach spaces. Zbl 0978.60071Brzeźniak, Zdisław; Peszat, Szymon 8 2000 Global existence of solutions of semilinear parabolic evolution equations. Zbl 1038.35025Constantin, Adrian; Peszat, Szymon 3 2000 Ergodicity for generalized Kawasaki dynamics. Zbl 0980.82019Kondrat, G.; Peszat, S.; Zegarlinski, B. 1 2000 Space-time continuous solutions to SPDE’s driven by a homogeneous Wiener process. Zbl 0944.60075Brzeźniak, Zdzisław; Peszat, Szymon 27 1999 Law equivalence of stochastic linear systems. Zbl 0933.60069Gołdys, Beniamin; Peszat, Szymon 1 1999 Maximal inequalities and space-time regularity of stochastic convolutions. Zbl 0903.60047Peszat, Szymon; Seidler, Jan 5 1998 Stochastic evolution equations with a spatially homogeneous Wiener process. Zbl 0943.60048Peszat, Szymon; Zabczyk, Jerzy 43 1997 Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations. Zbl 0882.60055Capiński, Marek; Peszat, Szymon 11 1997 Sobolev spaces of functions on an infinite-dimensional domain. Zbl 0865.46022Peszat, Szymon 1 1996 Strong Feller property and irreducibility for diffusions on Hilbert spaces. Zbl 0831.60083Peszat, Szymon; Zabczyk, Jerzy 61 1995 Existence and uniqueness of the solution for stochastic equations on Banach spaces. Zbl 0886.60064Peszat, Szymon 11 1995 Large deviation principle for stochastic evolution equations. Zbl 0792.60057Peszat, Szymon 33 1994 On a Sobolev space of functions of infinite number of variables. Zbl 0801.46040Peszat, Szymon 9 1993 Exponential tail estimates for infinite-dimensional stochastic convolutions. Zbl 0818.60050Peszat, Szymon 7 1992 Law equivalence of solutions of some linear stochastic equations in Hilbert spaces. Zbl 0809.60075Peszat, Szymon 2 1992 Equivalence of distributions of some Ornstein-Uhlenbeck processes taking values in Hilbert space. Zbl 0772.60029Peszat, S. 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 611 Authors 29 Brzeźniak, Zdzisław 17 Zabczyk, Jerzy 15 Peszat, Szymon 14 Hausenblas, Erika 13 Duan, Jinqiao 12 Razafimandimby, Paul André 11 Manna, Utpal 11 Zhang, Tusheng S. 10 Benth, Fred Espen 10 Komorowski, Tomasz 10 Szarek, Tomasz Jakub 9 Albeverio, Sergio A. 9 Gao, Hongjun 9 Goldys, Beniamin 9 Lang, Annika 9 Ondreját, Martin 9 Tappe, Stefan 8 Dalang, Robert C. 8 Redmann, Martin 8 Röckner, Michael 8 Sango, Mamadou 8 Xu, Lihu 7 Balan, Raluca M. 7 Cerrai, Sandra 7 Gess, Benjamin 7 Huang, Jianhua 7 Liu, Wei 7 Maslowski, Bohdan 7 Quer-Sardanyons, Lluís 7 Riedle, Markus 7 Xie, Bin 6 Blömker, Dirk 6 Da Prato, Giuseppe 6 Deugoue, Gabriel 6 Dong, Zhao 6 Glatt-Holtz, Nathan E. 6 Majee, Ananta K. 6 Millet, Annie 6 Mohan, Manil Thankamani 6 Priola, Enrico 6 Süss, André 6 Świȩch, Andrzej 6 Tindel, Samy 6 Zhai, Jianliang 5 Barski, Michał 5 Barth, Andrea 5 Chong, Carsten 5 Debussche, Arnaud 5 Flandoli, Franco 5 Khoshnevisan, Davar 5 Marinelli, Carlo 5 Temam, Roger Meyer 5 Wang, Ran 5 Zhao, Huaizhong 4 Benner, Peter 4 Bessaih, Hakima 4 Criens, David 4 Di Persio, Luca 4 Ferrario, Benedetta 4 Hille, Sander Cornelis 4 Hofmanová, Martina 4 Horbacz, Katarzyna 4 Krühner, Paul 4 Liu, Jicheng 4 Liu, Kai 4 Masiero, Federica 4 Mikulevicius, Remigijus 4 Mukherjee, Debopriya 4 Rüdiger, Barbara 4 Sanz-Solé, Marta 4 Schwab, Christoph 4 Shen, Tianlong 4 van Neerven, Jan M. A. M. 4 Wang, Jian 4 Wu, Jianglun 4 Yamazaki, Kazuo 3 Ascanelli, Alessia 3 Bao, Jianhai 3 Barbu, Viorel 3 Bierkens, Joris 3 Biswas, Imran H. 3 Breit, Dominic 3 Chen, Yong 3 Chow, Pao-Liu 3 Conus, Daniel 3 Feng, Chunrong 3 Freidlin, Mark I. 3 Fuhrman, Marco 3 Guo, Boling 3 Hepperger, Peter 3 Huan, Diem Dang 3 Kapica, Rafał 3 Kirchner, Kristin 3 Koley, Ujjwal 3 Kovács, Mihály 3 Kulik, Alexey M. 3 Kunze, Markus Christian 3 Leszczyński, Henryk 3 Li, Yuhong 3 Lindner, Felix ...and 511 more Authors all top 5 Cited in 147 Serials 56 Stochastic Processes and their Applications 33 Journal of Differential Equations 29 Stochastic Analysis and Applications 27 Journal of Mathematical Analysis and Applications 25 Potential Analysis 20 Journal of Functional Analysis 18 The Annals of Probability 16 Journal of Theoretical Probability 14 Stochastic and Partial Differential Equations. Analysis and Computations 12 Applied Mathematics and Computation 11 Applied Mathematics and Optimization 11 Stochastics and Dynamics 10 NoDEA. Nonlinear Differential Equations and Applications 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Communications in Mathematical Physics 8 Statistics & Probability Letters 8 Probability Theory and Related Fields 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Journal of Evolution Equations 7 Journal of Computational and Applied Mathematics 7 The Annals of Applied Probability 7 SIAM Journal on Mathematical Analysis 7 Discrete and Continuous Dynamical Systems 7 Discrete and Continuous Dynamical Systems. Series B 7 Stochastics 6 Czechoslovak Mathematical Journal 6 Physica D 6 Abstract and Applied Analysis 5 Transactions of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Electronic Journal of Probability 5 Finance and Stochastics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 International Journal of Stochastic Analysis 4 Archive for Rational Mechanics and Analysis 4 Communications in Partial Differential Equations 4 Stochastics and Stochastics Reports 4 Random Operators and Stochastic Equations 4 Advances in Difference Equations 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 BIT 3 Theory of Probability and Mathematical Statistics 3 Mathematical Finance 3 Nonlinear Analysis. Real World Applications 3 Kinetic and Related Models 3 Probability Surveys 3 Science China. Mathematics 2 Advances in Applied Probability 2 Computers & Mathematics with Applications 2 Journal of Mathematical Biology 2 Chaos, Solitons and Fractals 2 Integral Equations and Operator Theory 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Applied Mathematics and Mechanics. (English Edition) 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 MCSS. Mathematics of Control, Signals, and Systems 2 Forum Mathematicum 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Bulletin des Sciences Mathématiques 2 Electronic Communications in Probability 2 Bernoulli 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 International Journal of Theoretical and Applied Finance 2 Journal of Mathematical Fluid Mechanics 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Communications on Pure and Applied Analysis 2 Frontiers of Mathematics in China 2 SIAM Journal on Financial Mathematics 2 Communications in Mathematics and Statistics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Nonlinear Analysis. Theory, Methods & Applications 2 Chinese Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 Journal of Computational Physics 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Quarterly of Applied Mathematics ...and 47 more Serials all top 5 Cited in 35 Fields 547 Probability theory and stochastic processes (60-XX) 259 Partial differential equations (35-XX) 66 Fluid mechanics (76-XX) 56 Dynamical systems and ergodic theory (37-XX) 52 Operator theory (47-XX) 46 Numerical analysis (65-XX) 41 Ordinary differential equations (34-XX) 34 Systems theory; control (93-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Functional analysis (46-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 14 Biology and other natural sciences (92-XX) 11 Measure and integration (28-XX) 11 Integral equations (45-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Real functions (26-XX) 6 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Geophysics (86-XX) 4 Abstract harmonic analysis (43-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year