Elena Kosygina, Baruch College, City University of New York

Abstract

Generalized Ray-Knight theorems for edge local times have proved to be a very useful tool for studying the limiting behavior of a number of models of self-interacting random walks (SIRWs) on integers. I shall describe several classes of SIRWs introduced and studied by Balint Toth in late 1990s and discuss applications and limitations of generalized Ray-Knight theorems in establishing functional limit theorems for these models.

The talk is based on joint work with Thomas Mountford (EPFL) and Jonathon Peterson (Purdue University).

See: https://sites.google.com/view/rutgersdmseminar