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

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.

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Year of publication:	2013
Authors:	Chen, Xinxin
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 123.2013, 8, p. 3153-3182
Publisher:	Elsevier
Subject:	Branching Brownian motion \| Rightmost position

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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