Optimal homogenization rates in the stochastic homogenization in a balanced random environment

Abstract

In this talk we consider the stochastic homogenization of elliptic non-divergence form equations on the integer lattice and the corresponding model of random walks in random environment (RWRE) which is a martingale. We will derive the optimal rates of the homogenization for the Dirichlet problem. We will also discuss the correlation structure of the invariant measure and quantitative estimates for the quenched central limit theorem of the RWRE. Joint work with Hung V. Tran (UW-Madison).

Speaker

Xiaoqin Guo is an Assistant Professor of Mathematical Sciences at the University of Cincinnati. Current research interests: random motions in random media.