Student Probability Seminar

Behavioral Dichotomy for Z^2 stationary random walks

Speaker: Liying Li

Location: Warren Weaver Hall 1314

Date: Wednesday, October 4, 2017, 10 a.m.

Synopsis:

We consider a stationary field of nearest neighbor arrows on Z^2, one arrow at each lattice point.  A random walk trajectory is a path that follows the arrows.  Such models arise naturally in the study of infinite geodesic in FPP/LPP problems.  Under mild conditions, I will explain that there is a behavioral dichotomy: either there will be a.s. coalescence and no bi-infinite trajectories, or there will exist bi-infinite trajectories with positive density.  This talk is based on a paper by Chaika and Krishnan (arxiv.org/abs/1612.00434).