We consider a bounded step size random walk in an ergodic random environment with some ellipticity, on an integer lattice of arbitrary dimension. We prove a level 3 large deviation principle, under almost every environment, with rate function related to a relative entropy.
Publié le : 2011-02-15
Classification:
Random walk,
Random environment,
RWRE,
Large deviation,
Environment process,
Relative entropy,
Homogenization,
60K37,
60F10,
82D30,
82C44
@article{1294170236,
author = {Rassoul-Agha, Firas and Sepp\"al\"ainen, Timo},
title = {Process-level quenched large deviations for random walk in random environment},
journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
volume = {47},
number = {1},
year = {2011},
pages = { 214-242},
language = {en},
url = {http://dml.mathdoc.fr/item/1294170236}
}
Rassoul-Agha, Firas; Seppäläinen, Timo. Process-level quenched large deviations for random walk in random environment. Ann. Inst. H. Poincaré Probab. Statist., Tome 47 (2011) no. 1, pp. 214-242. http://gdmltest.u-ga.fr/item/1294170236/