A note on quenched moderate deviations for Sinai’s random walk in random environment

Comets, Francis, and Popov, Serguei. "A note on quenched moderate deviations for Sinai’s random walk in random environment." ESAIM: Probability and Statistics 8 (2004): 56-65. <http://eudml.org/doc/244669>.

@article{Comets2004,
abstract = {We consider the continuous time, one-dimensional random walk in random environment in Sinai’s regime. We show that the probability for the particle to be, at time $t$ and in a typical environment, at a distance larger than $t^a$ ($0&lt;a&lt;1$) from its initial position, is $\exp \lbrace -\{\rm Const\}\cdot t^a / [(1-a)\ln t] (1+o(1))\rbrace $.},
author = {Comets, Francis, Popov, Serguei},
journal = {ESAIM: Probability and Statistics},
keywords = {random walk in random environment; Sinai’s regime; $t$-stable point; moderate deviations; Random walk in random environment; Sinai's regime; -stable point},
language = {eng},
pages = {56-65},
publisher = {EDP-Sciences},
title = {A note on quenched moderate deviations for Sinai’s random walk in random environment},
url = {http://eudml.org/doc/244669},
volume = {8},
year = {2004},
}

TY - JOUR
AU - Comets, Francis
AU - Popov, Serguei
TI - A note on quenched moderate deviations for Sinai’s random walk in random environment
JO - ESAIM: Probability and Statistics
PY - 2004
PB - EDP-Sciences
VL - 8
SP - 56
EP - 65
AB - We consider the continuous time, one-dimensional random walk in random environment in Sinai’s regime. We show that the probability for the particle to be, at time $t$ and in a typical environment, at a distance larger than $t^a$ ($0&lt;a&lt;1$) from its initial position, is $\exp \lbrace -{\rm Const}\cdot t^a / [(1-a)\ln t] (1+o(1))\rbrace $.
LA - eng
KW - random walk in random environment; Sinai’s regime; $t$-stable point; moderate deviations; Random walk in random environment; Sinai's regime; -stable point
UR - http://eudml.org/doc/244669
ER -