题目：On Large Deviation Probabilities for the Empirical Distribution of Branching Random Walks with Heavy Tails

报告人：张树雄（安徽师范大学）

报告时间：2026年7月7日，10：00-11:30

报告地点：新楼310

摘要： 

Given a branching random walk (Zn)n≥0 on R, let Zn(A) be the number of particles located in interval A at generation n. 

It is well known that under some mild conditions, Zn(\sqrt nA)/Zn(R) converges almost surely to ν(A) as n → ∞, where ν is the standard Gaussian measure. 

In this talk, we investigate its large-deviation probabilities under the condition that the step size or offspring law has a heavy tail, i.e. the decay 

rate of P(Zn(\sqrt nA)/Zn(R) > p) as n → ∞, where p ∈ (ν(A),1).