Wednesday, November 12, 2014 at 5:00pm, in the Conference Room

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 non-perturbed 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 Landau-Lifshitz magnitization equation and for some PDEs with a small parameter.