Exceptional times for the instantaneous propagation of superprocess
数学专题报告
报告题目(Title)：Exceptional times for the instantaneous propagation of superprocess
报告人(Speaker)：洪杰梁 博士（Technion-Israel Institute of Technology）
地点(Place)：后主楼1220
时间(Time)：2022年11月9日（周三），10:30-11:30
邀请人(Inviter)：何辉
报告摘要
For a Dawson-Watanabe superprocess X on R^d, it is shown in Perkins (1990) that if the underlying spatial motion belongs to a certain class of Levy processes that admit jumps, then with probability one the closed support of X_t is the whole space for almost all t>0 before extinction, the so-called ``instantaneous propagation'' property. We prove that exceptional times exist at which the support is compact and nonempty. Moreover, the set of exceptional times is dense and its Hausdorff dimension equals 1. This talk is based on a joint work with Leonid Mytnik.
主讲人简介
Jieliang Hong is a postdoc at Technion-Israel Institute of Technology. He obtained his Bachelor's degree from Peking University in 2015. Later in 2021 he obtained the Ph.D degree at the University of British Columbia under the supervision of Prof. Edwin Perkins. His research interests include superprocess, SPDE, branching process, and interacting particle system.
