Annealed upper tails for the energy of a polymer

Details Annealed upper tails for the energy of a polymer Annealed upper tails for the energy of a polymer

2008-12-02

arxiv.org/abs/0812.0443v3

Mathematics

Probability

36 pages, focus on upper tails; the lower tails estimates make another paper

Scientific paper

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.

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