Quenched limits for transient, ballistic, sub-Gaussian one-dimensional random walk in random environment
نویسندگان
چکیده
منابع مشابه
Quenched limits for transient, ballistic, sub-Gaussian one-dimensional random walk in random environment
We consider a nearest-neighbor, one-dimensional random walk {Xn}n≥0 in a random i.i.d. environment, in the regime where the walk is transient with speed vP > 0 and there exists an s ∈ (1,2) such that the annealed law of n−1/s(Xn − nvP ) converges to a stable law of parameter s. Under the quenched law (i.e., conditioned on the environment), we show that no limit laws are possible. In particular ...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2009
ISSN: 0246-0203
DOI: 10.1214/08-aihp149