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

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2008-02

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Oberwolfach Preprints (OWP)

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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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Abstract

We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of p independent random walks in Zd under the assumption p(d−2)>d. Our approach allows a direct treatment of the infinite time horizon.

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Keywords GND

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Report

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publishedVersion

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