Mark Freidlin, University of Maryland, College Park

Title: LONGTIME INFLUENCE OF SMALL PERTURBATIONS 
Abstract: I will consider deterministic and stochastic perturbations of dynamical systems and stochastic processes. The perturbed system has a slow and fast components and the slow component is the most important characteristic of the long time behavior of the perturbed system. The slow component lives on the simplex of normalized invariant measures of the nonperturbed system. In an appropriate time scale, the limiting slow motion is defined by a modified averaging principle or by large deviations. I will demonstrate how this general approach works for LandauLifshitz magnitization equation and for some PDEs with a small parameter.
