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

Xinxin Chen (1)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

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.

Mots clés: rightmost position; Branching Brownian motion; rightmost position.

Domaines: Probabilités [math.PR]

Xinxin Chen. Waiting times for particles in a branching Brownian motion to reach the rightmost position. Stochastic Processes and their Applications, 2013, 123 (8), pp.3153-3182. ⟨hal-00783023⟩