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Upper tails for intersection local times of random walks in supercritical dimensions |
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| Authors: | Chen Xia; Morters Peter |
| Institution: | Department of Mathematics University of Tennessee Knoxville, TN 37996-1300 USA xchen@math.utk.edu |
| Abstract: | We determine the precise asymptotics of the logarithmic uppertail probability of the total intersection local time of p independentrandom walks in  d under the assumption p(d–2) > d.Our approach allows a direct treatment of the infinite timehorizon. |
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