Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	王健教授，福建师范大学
Inviter:
Title:	Homogenization of jump processes: limits and convergence rates
Time & Venue:	2021.10.14 16:00-17:00 南楼613
Abstract:	In this talk, we study homogenization problems for non-local $\alpha$-stable-like operators and their quantitative results. In particular, consider random conductance models with long range jumps on $\Z^d$, where the transition probability from $x$ to $y$ is given by $w_{x,y}\|x-y\|^{-d-\alpha}$ with $\alpha\in (0,2)$. Assume that $\{w_{x,y}\}_{(x,y)\in E}$ are independent, identically distributed and uniformly bounded with $\Ee w_{x,y}=1$, where $E$ is the set of all unordered pairs on $\Z^d$. We obtain a quantitative version of stochastic homogenization for these random walks, with the speed $t^{-(\alpha\wedge (2-\alpha))/2}$ up to logarithmic corrections.