On the tail of the branching random walk local time

2020/02/27 by Angel, Omer, Hutchcroft, Tom, Járai, Antal A. · 1 citation
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2002.12188

Abstract

Consider a critical branching random walk on ℤ^d, d≥ 1, started with a single particle at the origin, and let L(x) be the total number of particles that ever visit a vertex x. We study the tail of L(x) under suitable conditions on the offspring distribution. In particular, our results hold if the offspring distribution has an exponential moment.

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