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arXiv · 1404.0422

A note on the frontier of a branching reflected Brownian motion

Wenpin Tang
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Abstract

In this note, we study the asymptotical frontier behavior of a branching reflected Brownian motion. There is essentially no difference in maximal displacement between a branching Brownian motion and its reflected counterpart. We provide two proofs of this fact, one via a soft argument on the dependance of two-sided extremal particles in a branching Brownian motion and the other based on direct computations as in Roberts. The asymptotics of minimal displacement is also given.

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Wenpin Tang. 2014-04-04. A note on the frontier of a branching reflected Brownian motion. https://arxiv.org/abs/1404.0422

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