Waiting times for particles in a branching Brownian motion to reach the rightmost position

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:123

Article

Chen, Xinxin

关键词: Branching Brownian motion;    Rightmost position;   

DOI  :  10.1016/j.spa.2013.03.007

来源: Elsevier

【 摘 要 】

It has been proved by Lalley and Sellke (1987) [13] that every particle born in a branching Brownian motion has a descendant reaching the rightmost position at some future time. The main goal of the present paper is to estimate asymptotically as s goes to infinity, the first time that every particle alive at the time s has a descendant reaching the rightmost position. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

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