WIAS Preprint No. 1625, (2011)

A simple path to asymptotics for the frontier of a branching Brownian motion



Authors

  • Roberts, Matthew I.

2010 Mathematics Subject Classification

  • 60J80

Keywords

  • Branching Brownian motion, KPP equation, change of measure

Abstract

We give proofs of two results about the position of the extremal particle in a branching Brownian motion, one concerning the median position and another the almost sure behaviour. Our methods are based on a many-to-two lemma which allows us to estimate the effect of the branching structure on the system by considering two dependent Bessel processes.

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