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.
Publié le : 2011-02-15
Classification:
Random polymer,
Large deviations,
Random walk in random scenery,
Self-intersection local times,
60K35,
82C22,
60J25
@article{1294170231,
author = {Asselah, Amine},
title = {Annealed upper tails for the energy of a charged polymer},
journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
volume = {47},
number = {1},
year = {2011},
pages = { 80-110},
language = {en},
url = {http://dml.mathdoc.fr/item/1294170231}
}
Asselah, Amine. Annealed upper tails for the energy of a charged polymer. Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, pp. 80-110. http://gdmltest.u-ga.fr/item/1294170231/