Quenched exit estimates and ballisticity conditions for higher-dimensional random walk in random environment
نویسندگان
چکیده
منابع مشابه
Quenched Exit Estimates and Ballisticity Conditions for Higher-dimensional Random Walk in Random Environment by Alexander Drewitz
Consider a random walk in an i.i.d. uniformly elliptic environment in dimensions larger than one. In 2002 Sznitman introduced for each γ ∈ (0, 1) the ballisticity condition (T )γ and the condition (T ′) defined as the fulfillment of (T )γ for each γ ∈ (0, 1). Sznitman proved that (T ′) implies a ballistic law of large numbers. Furthermore, he showed that for all γ ∈ (0.5, 1), (T )γ is equivalen...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2012
ISSN: 0091-1798
DOI: 10.1214/10-aop637