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Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems

course: Averaging principle and long time behavior of weakly coupled oscillators

speaker: Mark Freidlin (Department of Mathematics, Univ.of Maryland, College Park, MD 20742)

abstract: I will consider small perturbations of a simple completely integrable system with many degrees of freedom: a collection of independent one-degree of freedom oscillators (in the perturbed system the individual oscillators are no longer independent). It turns out that the long time behavior of such a system, even in the case of pure deterministic perturbations, should, in general, be described as a stochastic process. The limiting stochastic process is a Markov process on an open book space corresponding to the collection of first integrals of the non-perturbed system.

timetable:
Wed 31 May, 10:30 - 11:45, Sala Conferenze Centro De Giorgi
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