The speed of biased random walk among random conductances
نویسندگان
چکیده
منابع مشابه
On the speed of Random Walks among Random Conductances
We consider random walk among random conductances where the conductance environment is shift invariant and ergodic. We study which moment conditions of the conductances guarantee speed zero of the random walk. We show that if there exists α > 1 such that E[log ωe] < ∞, then the random walk has speed zero. On the other hand, for each α < 1 we provide examples of random walks with non-zero speed ...
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ABSTRACT. We consider the nearest-neighbor simple random walk on Z, d ≥ 2, driven by a field of i.i.d. random nearest-neighbor conductances ωxy ∈ [0, 1]. Apart from the requirement that the bonds with positive conductances percolate, we pose no restriction on the law of the ω’s. We prove that, for a.e. realization of the environment, the path distribution of the walk converges weakly to that of...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2019
ISSN: 0246-0203
DOI: 10.1214/18-aihp901