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

2013/01/31 by Xinxin Chen, Chen, Xinxin · 1 citation
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1301.7606

arxiv created 2013/01/31 · arxiv updated 2013/02/01

Abstract

It has been proved by Lalley and Sellke [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.

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