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

Xinxin Chen

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arXiv · 1301.7606

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

Xinxin Chen

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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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Xinxin Chen. 2013-01-31. Waiting times for particles in a branching Brownian motion to reach the rightmost position. https://arxiv.org/abs/1301.7606

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