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Probability seminar: Xinxin Chen

Audience: Member of University - ALL Format: In Person
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Critical branching random walk in Z^d

Wednesday, 27 May 2026, 11am to 12pm

Title: Critical branching random walk in Z^d

Abstract: We consider a discrete-time branching simple random walk in Z^d 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. When d=2, we study the asymptotic behaviors of the critical branching random walk (CBRW) conditioned to survival at large time n and obtain asymptotics for local statistics, range, 1-multiplicity range etc. We will also discuss some open problems. This is based on the joint walk with Tianyi Bai (AMSS) and Shen Lin (Sorbonne University).

Speaker(s): Xinxin Chen (Beijing Normal University)

Series: Probability seminar

Venue: Woodstock Road - Mathematical Institute - Mathematical Institute Woodstock Road Oxford Oxfordshire OX2 6GG United Kingdom

Department: Statistics (Department)

Organiser: Christina Goldschmidt, James Martin, Julien Berestycki