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 and in a typical environment, at a distance larger than () from its initial position, is .
Keywords: random walk in random environment, Sinai’s regime, $t$-stable point, moderate deviations
@article{PS_2004__8__56_0,
author = {Comets, Francis and Popov, Serguei},
title = {A note on quenched moderate deviations for {Sinai's} random walk in random environment},
journal = {ESAIM: Probability and Statistics},
pages = {56--65},
year = {2004},
publisher = {EDP Sciences},
volume = {8},
doi = {10.1051/ps:2004001},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ps:2004001/}
}
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 SP - 56 EP - 65 VL - 8 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ps:2004001/ DO - 10.1051/ps:2004001 LA - en ID - PS_2004__8__56_0 ER -
%0 Journal Article %A Comets, Francis %A Popov, Serguei %T A note on quenched moderate deviations for Sinai's random walk in random environment %J ESAIM: Probability and Statistics %D 2004 %P 56-65 %V 8 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ps:2004001/ %R 10.1051/ps:2004001 %G en %F PS_2004__8__56_0
Comets, Francis; Popov, Serguei. A note on quenched moderate deviations for Sinai's random walk in random environment. ESAIM: Probability and Statistics, Tome 8 (2004), pp. 56-65. doi: 10.1051/ps:2004001
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