时间：7月4日13:00点-14:00点
地点：法商南楼135
报告人:陈昕，上海交通大学, 数学科学学院
报告题目：Random conductance models with stable-like jumps
报告简介：We study the quenched invariance principle and two-sided heat kernel estimates for random conductance models with long range jumps on $Z^d$, where the transition probability from x to y is in average comparable to $|x-y|^{-d-\alpha}$ with $\alpha\in(0,2)$ and the associated conductances are not uniformly elliptic. Under some moment conditions on the conductance, we prove the scaling limit of the Markov process is a symmetric $\alpha$-stable Levy process on $R^d$. We also prove that (elliptic) Harnack inequalities do not hold in the present setting. Our results could be applied to general discrete metric measure space. The talk is based on a joint paper with Takashi Kumagai and Jian Wang.