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arXiv:0812.0443 [math.PR]AbstractReferencesReviewsResources

Annealed upper tails for the energy of a polymer

Amine Asselah

Published 2008-12-02, updated 2009-09-29Version 3

We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider annealed estimates, that is when we average over both randomness, in dimension three or more. We obtain a large deviation principle, and an explicit rate function for a large class of charge distributions.

Comments: 36 pages, focus on upper tails; the lower tails estimates make another paper
Categories: math.PR, math-ph, math.MP
Subjects: 60K35, 82C22
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