On the tail of the branching random walk local time

Omer Angel, Tom Hutchcroft, Antal Jarai

Research output: Contribution to journalArticle

Abstract

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
Publication statusAcceptance date - 21 Oct 2020

ASJC Scopus subject areas

  • Mathematics(all)

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