Large deviation for empirical distribution of branching random walks: Böttcher’s case

2017-07-10

学术报告通知


报告题目:Large deviation for empirical distribution of branching random walks: Böttcher’s case

时间: 2017713日下午1500-1600

地点:数学科学学院第七教室


报 告 人: 陈昕昕 (法国里昂一大)


摘要:Given a super-critical branching random walk on R started from the origin, let Zn(·) be the counting measure which counts the number of individuals at the n-th generation located in a given set. Under some mild conditions, it is known in Biggins (1990) that for any interval A, the empirical distribution of branching random walks converges a.s. to the standard Gaussian measure. In this talk, we investigate the large deviation for empirical distribution of branching random walk in Böttcher’s case where each individual has at least two children. This talk is based on joint works with Hui He.

邀请人: 马春华



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