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

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Date
2008-03-06MFO Scientific Program
Research in Pairs 2007Series
Oberwolfach Preprints;2008,02Author
Chen, Xia
Mörters, Peter
Metadata
Show full item recordOWP-2008-02
Abstract
We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of $p$ independent random walks in $\mathbb{Z}^d$ under the assumption $p(d-2)>d$. Our approach allows a direct treatment of the infinite time horizon.