Math Colloquia: Large Time Behavior of Randomly Perturbed Dynamical Systems
Wednesday, November 15, 2017
3:00 PM-4:00 PM
Lenoid Koralov, University of Maryland
Abstract: We will discuss several asymptotic problems for randomly perturbed flows. One class of flows (with regions where a strong flow creates a trapping mechanism) leads to a new class of boundary value problems with non-standard boundary conditions. We will also discuss how large-deviation techniques can be used to study the asymptotic behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding diffusion processes.
Korman Center, Room 245, 15 South 33rd Street, Philadelphia, PA 19104