CRM: Centro De Giorgi
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Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems

course: Markov processes and stochastic equations

speaker: Jerzy Zabczyk (Institute of Mathematics Polish Academy of Sciences, Warsaw, Poland)

abstract: The course is an introduction to the theory of Markov processes with general paths. Basic results on stochastic equations, sufficient to construct such processes are covered as well. The course is divided into 6 parts: 1. Markov processes in discrete time, 2. Markovian semigroups and Courrage theorem, 3. Levy processes, 4. Properties of trajectories, 5. Stochastic equations in finite and infinite dimensions. Literature: 1. G. Da Prato and J. Zabczyk, "Stochastic Equations in Infinite Dimensions", CUP, 1992. 2. I. I. Gikhman and A.V. Skorochod, "The Theory of Stochastic Processes", Springer,vol.1-3,1974-75- 79. 3. P. Protter, "Stochastic Integration and Differential Equations", Springer, 2004. 4. D. Stroock, "Markov Processes from Ito's Point of View", Princeton University Press, 2003. 5. J. Zabczyk, "Topics in Stochastic Processes", Quaderni, SNS Pisa, 2004.


timetable:
Tue 11 Apr, 10:30 - 12:00, Sala Conferenze Centro De Giorgi
Wed 12 Apr, 15:00 - 15:30, Sala Conferenze Centro De Giorgi
Thu 20 Apr, 15:00 - 16:30, Sala Conferenze Centro De Giorgi
Fri 21 Apr, 15:00 - 16:30, Sala Conferenze Centro De Giorgi
Mon 24 Apr, 15:00 - 16:30, Sala Conferenze Centro De Giorgi
Thu 27 Apr, 15:00 - 16:30, Sala Conferenze Centro De Giorgi
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