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Critical branching random walk conditioned to survive at a given set in Z^2

发布日期:2025-06-01点击数:

报告人:陈昕昕 教授(北京师范大学)

时间:2025年06月03日 10:30-

地点:数统公司LD106


摘要:We consider a discrete-time branching simple random walk in Z^2 where each particle independently makes simple random walk and produces a random number of children so that the offspring law is of mean 1 and of finite variance. We study the asymptotic behaviours of the critical branching random walk (CBRW) conditioned to hit a given site at large time n and obtain a Yaglom theorem. We also discuss the joint survival probabilities that the CBRW hits two sites which are of distances Θ(na) at large time n, as well as the number of occupied sites.


邀请人:数学研究中心


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