Functional CLT for Random Walk Among Bounded Random Conductances
نویسندگان
چکیده
منابع مشابه
Functional Clt for Random Walk among Bounded Random Conductances
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: Electronic Journal of Probability
سال: 2007
ISSN: 1083-6489
DOI: 10.1214/ejp.v12-456