Matthew I. Roberts

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20082026

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

66 citations · 129 across the 23 of their papers we have counts for

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Showing 2012 · math.PRShow all

2 papers · 2 filters

math.PR2012

Fine asymptotics for the consistent maximal displacement of branching Brownian motion

Matthew I. Roberts

It is well-known that the maximal particle in a branching Brownian motion sits near $2 t - \frac{3}{2 2} lo g t$ at time $t$ . One may then ask about the paths of particles…

math.PR2012

Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential

Julien Berestycki, Éric Brunet, John W. Harris +2

We consider a branching particle system where each particle moves as an independent Brownian motion and breeds at a rate proportional to its distance from the origin raised to the…