Weak quenched limiting distributions for transient one-dimensional random walk in a random environment
نویسندگان
چکیده
منابع مشابه
Weak Quenched Limiting Distributions for Transient One-dimensional Random Walk in a Random Environment
We consider a one-dimensional, transient random walk in a random i.i.d. environment. The asymptotic behaviour of such random walk depends to a large extent on a crucial parameter κ > 0 that determines the fluctuations of the process. When 0 < κ < 2, the averaged distributions of the hitting times of the random walk converge to a κ-stable distribution. However, it was shown recently that in this...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2013
ISSN: 0246-0203
DOI: 10.1214/11-aihp474