报告题目：Periodic homogenization of discontinuous Markov processes

报告人：陈振庆教授 美国华盛顿大学

报告时间：2022.11.18（周五）上午9:00-10:00

腾讯会议：ID 600-511-452，密码123456

报告摘要：In this talk, I will present some recent results on homogenization of discontinuous Markov processes with L\'evy type generators in periodic media. Under a proper scaling, the scaled Markov process is shown to converge weakly to a L\'evy process. Different phenomena occur depending on the tails of the jumping kernel of the discontinuous Markov process. These results can be viewed as the non-local counterparts of the celebrated work of Bensoussan-Lions-Papanicoaou and Bhattacharya for diffusions. I will also present quantitative results on the homogenization rates.

Based on joint work with Xin Chen, Takashi Kumagai and Jian Wang,

报告人简介:

陈振庆，美国华盛顿大学教授，国家海外高层次人才计划入选者，美国数学学会会员，美国数理统计学会会员，华盛顿大学维克多·克莱(Victor Klee)教职会员，2019年荣获伊藤奖（lto Prize)。主要的研究方向包括概率论以及随机分析，马尔可夫过程以及迪利克雷空间，随机微分方程，扩散过程，稳定过程以及偏微分方程中的概率论过程等。著名期刊Potential Analysis主编，Proceedings of the American Mathematical Society, Journal of Theoretical Probability, Probability, Uncertainty and Quantitative Risk等杂志的编委，目前已有173篇发表或将要刊出的学术论文，一部学术论著。