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

Xinxin Chen

Stochastic Processes and their Applications, 2013, vol. 123, issue 8, 3153-3182

Abstract: 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.

Keywords: Branching Brownian motion; Rightmost position (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2013.03.007

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