Upper tails for intersection local times of random walks in supercritical dimensions

X Chen, Peter Morters

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of p independent random walks in Z(d) under the assumption p(d - 2) > d. Our approach allows a direct treatment of the infinite time horizon.
Original languageEnglish
Pages (from-to)186-210
Number of pages25
JournalJournal of the London Mathematical Society
Volume79
Issue number1
Early online date11 Dec 2008
DOIs
Publication statusPublished - Feb 2009

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