Department of Mathematics - Mathematics Colloquium - Some recent results on stochastic homogenization for stable-like process

In this talk we will introduce some recent results on stochastic homogenization for stable-like process, including stochastic homogenization for stable-like process with possibly degenerate jumping kernel, the quantification of stochastic homogenization for stable-like random walk in random conductance model, the quantification of stochastic homogenization for the Dirichlet problem associated with stable-like process in periodic environment. This talk is based on some joint works with Zhen-qing Chen, Takashi Kumagai and Jian Wang.