On the boundary at infinity for branching random walk

2022/05/30 by Candellero, Elisabetta, Hutchcroft, Tom · 2 citations
#FOS: Mathematics #Group Theory (math.GR) #Probability (math.PR)

paper · doi:10.48550/arxiv.2205.15287

Abstract

We prove that supercritical branching random walk on a transient graph converges almost surely under rescaling to a random measure on the Martin boundary of the graph. Several open problems and conjectures about this limiting measure are presented.

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• On the critical parameters of branching random walks

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