Process-level quenched large deviations for random walk in random environment
Rassoul-Agha, Firas ; Seppäläinen, Timo
Annales de l'I.H.P. Probabilités et statistiques, Tome 47 (2011), p. 214-242 / Harvested from Numdam
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Nous considérons une marche aléatoire en environnement aléatoire ergodique. La marche est elliptique et à pas bornés. Nous prouvons un principe de grandes déviations au niveau 3, sous presque tout environnement, avec une fonctionnelle d'action liée à une entropie relative.

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 : 2011-01-01
DOI : https://doi.org/10.1214/10-AIHP369
Classification:  60K37,  60F10,  82D30,  82C44 
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     author = {Rassoul-Agha, Firas and Sepp\"al\"ainen, Timo},
     title = {Process-level quenched large deviations for random walk in random environment},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {47},
     year = {2011},
     pages = {214-242},
     doi = {10.1214/10-AIHP369},
     mrnumber = {2779403},
     zbl = {pre05864081},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_2011__47_1_214_0}
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Rassoul-Agha, Firas; Seppäläinen, Timo. Process-level quenched large deviations for random walk in random environment. Annales de l'I.H.P. Probabilités et statistiques, Tome 47 (2011) pp. 214-242. doi : 10.1214/10-AIHP369. http://gdmltest.u-ga.fr/item/AIHPB_2011__47_1_214_0/

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