Szymon Peszat (Associate Professor)

• E-Mail Address: napeszat[AT]cyf-kr.edu.pl
• Address: Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30/7, 31-027 Cracow, Poland.

Research Interests: Stochastic partial differential equations, stochastic fluid mechanics, statistical mechanics, Lévy processes, large deviations, stochastic control.

The most recent publications and pre-publications:

• Z. Brzezniak, B. Goldys, S. Peszat, and F. Russo, Second order PDEs with Dirichlet white noise boundary conditions, submitted. (pdf-file)
  
  
• S. Peszat and J. Zabczyk, Time regularity for stochastic Volterra equations by the dilation theorem, submitted. (pdf-file)
  
  
• S. Peszat, Stochastic partial differential equations with Lévy noise (a few aspects), submitted. (pdf-file)
  
  
• T. Komorowski, S. Peszat, and T. Szarek, Passive tracer in a flow corresponding to two dimensional stochastic Navier-Stokes equtions, Nonlinearity, to appear. (pdf-file)
  
  
• S. Peszat and J. Zabczyk, Time regularity of solutions to linear equations with Lévy noise in infinite dimensions, Stochastic Processes Appl. 123 (2013), 719-751. (pdf-file)
  
  
• S. Peszat, Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator, J. Funct. Anal. 260 (2011), 3457-3473.
  
  
• T. Komorowski, S. Peszat, and T. Szarek, On ergodicity of some Markov processes, Ann. Probab. 38 (2010), 1401-1443.
  
  
• S. Peszat and A. Talarczyk, Functional central limit theorem for additive functionals of α-stable processes, Potential Anal. 33 (2010), 199-209.
  
  
• S. Peszat and S. Tindel, Stochastic heat and wave equations on a Lie group, Stochastic Anal. Appl. 28 (2010), 662-695.
  
  
• Z. Brzezniak, B. Goldys, P. Imkeller, S. Peszat, E. Priola, and J. Zabczyk, Time irregularity of generalized Ornstein-Uhlenbeck processes C. R. Math. Acad. Sci. Paris 348 (2010), 273-276.
  
  
• Z. Brzezniak and S. Peszat, Hyperbolic equations with random boundary conditions, Recent Development in Stochastic Dynamics and Stochastic Analysis, (J. Duan, S. Luo and C. Wang, eds.) World Scientific, 2010, pp. 1-22. (pdf-file)
  
  
• T. Komorowski, S. Peszat, and L. Ryzhik, Limit of fluctuations of solutions of Wigner equations, Comm. Math. Phys. 292 (2009), 427-510.
  
  

Books:

• S. Peszat and J. Zabczyk, Stochastic Partial Differential Equations with Lévy Noise (an Evolution Equation Approach), Cambridge University Press, Cambridge, 2007.
  ERRATUM to Stochastic Partial Differential Equations with Lévy Noise