Probability and Statistics Seminar——Invariance principle for the maximal position process of branching Brownian motion in random environment.
报告人: Haojie Hou (Peking University)
时间:2022-10-24 14:00-15:00
地点:Room 1114, Sciences Building No. 1
Abstract:
In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process $\xi = \left(\xi(x)\right)_{x\in\mathbb{R}}$ satisfying certain conditions. We show that the maximum position $M_t$ of particles alive at time $t$ satisfies a quenched strong law of large numbers and an annealed invariance principle. This talk is based on a joint work with Yanxia Ren and Renming Song.
About the Speaker:
侯浩杰, 北京大学数学科学学院博士,指导老师为任艳霞教授。

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