On the tail of the branching random walk local time

Omer Angel, Tom Hutchcroft, Antal Jarai

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Consider a critical branching random walk on Zd, 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.
Original languageEnglish
JournalProbability Theory and Related Fields
Early online date6 Nov 2020
Publication statusE-pub ahead of print - 6 Nov 2020

ASJC Scopus subject areas

  • Mathematics(all)

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