- 应用分析讨论班

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

组织者

荆文甲

演讲者

郭小钦

时间

2023年07月04日 16:20 至 17:20

地点

JCY-3

线上

Zoom 293 812 9202 (BIMSA)

摘要

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).