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

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  • Chen, Xinxin

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.

Suggested Citation

  • Chen, Xinxin, 2013. "Waiting times for particles in a branching Brownian motion to reach the rightmost position," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 3153-3182.
    • Handle: RePEc:eee:spapps:v:123:y:2013:i:8:p:3153-3182
    DOI: 10.1016/j.spa.2013.03.007
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    Cited by:

    1. Chen, Zengcai, 2024. "Lower deviation for the maximum of two-speed branching Brownian motion," Statistics & Probability Letters, Elsevier, vol. 206(C).

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