##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability & Statistics

## Jean-Dominique Deuschel

#### TU Berlin

## Random Walks in Dynamical Balanced Environment

##### Abstract:

We prove a quenched invariance principle and local limit theorem for a random walk in an ergodic balanced time dependent environment on the lattice. Our proof relies on the parabolic Harnack inequality for the adjoint operator. This is joint work with X. Guo.

Tianyi Zheng

### October 5, 2017

### 10:00 AM

### AP&M 6402

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