Annealed upper tails for the energy of a polymer
Probability
2009-09-29 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0812.0443,
title = {Annealed upper tails for the energy of a polymer},
author = {Amine Asselah},
journal= {arXiv preprint arXiv:0812.0443},
year = {2009}
}
Comments
36 pages, focus on upper tails; the lower tails estimates make another paper