Xinxin Chen

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math.PR2020

The fixed points of Branching Brownian Motion

Xinxin Chen, Christophe Garban, Atul Shekhar

In this work, we characterize all the point processes $θ = \sum_{i \in N} δ_{x_{i}}$ on $R$ which are left invariant under branching Brownian motions with critical dri…

math.PR2018

Lower deviation and moderate deviation probabilities for maximum of a branching random walk

Xinxin Chen, Hui He

Given a super-critical branching random walk on $R$ started from the origin, let $M_{n}$ be the maximal position of individuals at the $n$ -th generation. Under some mild cond…