EVENT DETAILS AND ABSTRACT

Title: Weak Universality in Random Walks in Random Environments
Speaker: Sayan Das
Speaker Info: University of Chicago
Brief Description: Weak Universality in Random Walks in Random Environments
Special Note:
Abstract:

We consider one dimensional simple random walks whose all one step transition probabilities are iid [0,1]-valued mean 1/2 random variables. In this talk, we will explain how under a certain moderate deviation scaling the quenched density of the walk converges weakly to Stochastic Heat Equation with multiplicative noise. Our result captures universality in the sense that it holds for all non-trivial laws for random environments. Time permitting, we will discuss briefly how our proof techniques depart from the existing techniques in literature. Based on a joint work with Hindy Drillick and Shalin Parekh.