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UPPER TAILS FOR INTERSECTION LOCAL TIMES OF RANDOM WALKS IN SUPERCRITICAL DIMENSIONS

By Xia Chen and Peter Mörters

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

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.160.5936
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