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.
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).