Process-level quenched large deviations for random walk in random environment

Firas Rassoul-Agha; Timo Seppäläinen

Annales de l'I.H.P. Probabilités et statistiques (2011)

  • Volume: 47, Issue: 1, page 214-242
  • ISSN: 0246-0203

Abstract

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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.

How to cite

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Rassoul-Agha, Firas, and Seppäläinen, Timo. "Process-level quenched large deviations for random walk in random environment." Annales de l'I.H.P. Probabilités et statistiques 47.1 (2011): 214-242. <http://eudml.org/doc/243826>.

@article{Rassoul2011,
abstract = {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.},
author = {Rassoul-Agha, Firas, Seppäläinen, Timo},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random walk; random environment; RWRE; large deviation; environment process; relative entropy; homogenization},
language = {eng},
number = {1},
pages = {214-242},
publisher = {Gauthier-Villars},
title = {Process-level quenched large deviations for random walk in random environment},
url = {http://eudml.org/doc/243826},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Rassoul-Agha, Firas
AU - Seppäläinen, Timo
TI - Process-level quenched large deviations for random walk in random environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2011
PB - Gauthier-Villars
VL - 47
IS - 1
SP - 214
EP - 242
AB - 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.
LA - eng
KW - random walk; random environment; RWRE; large deviation; environment process; relative entropy; homogenization
UR - http://eudml.org/doc/243826
ER -

References

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