Probability Seminar——Yaglom theorems for 2-dim and 4-dim critical branching random walks
报告人:Xinxin Chen(Beijing Normal University)
时间:2021-11-01 14:00-15:00
地点:Online(Tencent Meeting)
Abstract: We consider a discrete-time branching simple random walk in Zd 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. The classical Yaglom theorem says that conditioned on the survival up to time n , the number of alive particles at time n is of order n . When d = 2, we study this critical branching random walk (CBRW) conditioned on hitting a given site at time n and when d = 4, we study the CBRW conditioned on hitting some far away site x . We will talk about Yaglom-type theorems in both cases.
Tencent Meeting:https://meeting.tencent.com/dm/Rvr0HvRqPyNo
Meeting ID:298 348 110
Passcode:123123