Speaker: Elena Kosygina, CUNY
ABSTRACT
Excited random walks (ERWs), a.k.a. cookie random walks or "brownie" motions, are a large class of self-interacting random walks, for which the transition probabilities at a given time and location of the walker depend on the local time of the walker at that location. The first ERW model was introduced in 2003 by Itai Benjamini and David B. Wilson, and since then ERWs were studied by many authors.
The talk will describe some of the ERW models and results and concentrate on open problems concerning ERWs and closely related processes. It is partially based on the joint work with Martin P.W. Zerner (University of Tuebingen, Germany).