On the maximal displacement of subcritical branching random walks with or without killing

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报告题目:On the maximal displacement of subcritical branching random walks with or without killing

报告人:张树雄 讲师  安徽师范大学

报告时间:2026年6月11日下午14:00

线下报告地点:红瓦楼726

报告内容简介: Consider a subcritical branching random walk $\{Z_k\}_{k\geq 0}$. Let $M_n$ denote the rightmost position reached by $\{Z_k\}_{k\geq 0}$ up to generation $n$, and define $M := \sup_{n\geq 0} M_n$. In this talk, we  give asymptotics of tail probability of $M$ under optimal assumptions for the offspring law and step size. Moreover, we confirm the conjecture of Neuman and Zheng (2017, PTRF) by establishing the existence of a critical value, which leads to a phase transition in the tail probabilities of $M_n$. Finally, we extend these results to the maximal displacement of branching random walks with killing. Based on an ongoing joint work with Haojie Hou.

报告人简介: 张树雄为安徽师范大学讲师,硕士生导师。2021年博士毕业于北京师范大学。2021年至2023年在南方科技大学从事博士后研究。张树雄从事测度值分支过程及其相关领域工作,研究了分支随机游动及超布朗运动的大偏差,空球,与中心极限定理展开等,在Bernoulli,SPA,ECP等概率期刊发表了多篇学术论文。

报告邀请人:朱雅萍