%0 Journal Article
%T Quenched limits for the fluctuations of transient random walks in random environment on Z
%A Nathana£¿l Enriquez
%A Christophe Sabot
%A Laurent Tournier
%A Olivier Zindy
%J Mathematics
%D 2010
%I arXiv
%R 10.1214/12-AAP867
%X We consider transient nearest-neighbor random walks in random environment on Z. For a set of environments whose probability is converging to 1 as time goes to infinity, we describe the fluctuations of the hitting time of a level n, around its mean, in terms of an explicit function of the environment. Moreover, their limiting law is described using a Poisson point process whose intensity is computed. This result can be considered as the quenched analog of the classical result of Kesten, Kozlov and Spitzer [Compositio Math. 30 (1975) 145-168].
%U http://arxiv.org/abs/1012.1959v3