07月02日 北京大学孙振尧博士学术报告

发布时间:2018-07-02   浏览次数:349

报 告 人:孙振尧 博士(北京大学)

报告题目:Spine decompositions and limit theorems for a class of critical superprocesses

报告时间:2018年7月2日(周一)16:00-16:40

报告地点:静远楼1709室

报告摘要:

  We first establish a spine decomposition theorem and a 2-spine decomposition theorem for some critical superprocesses. These two kinds of decompositions are unified as a decomposition theorem for size-biased Poisson random measures. Then we use these decompositions to give probabilistic proofs of the asymptotic behavior of the survival probability and Yaglom's exponential limit law for some critical superprocesses. This is a joint work with Yan-Xia Ren and Renming Song.