A note on the frontier of a branching reflected Brownian motion

2014/04/02 by Tang, Wenpin
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1404.0422

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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