Invariance principle for the random conductance model
نویسندگان
چکیده
منابع مشابه
Invariance principle for the Random Conductance Model
We study a continuous time random walk X in an environment of i.i.d. random conductances μe ∈ [0,∞) in Zd. We assume that P(μe > 0) > pc, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the μe. We prove a quenched invariance principle for X, and obtain Green’s functions bounds and an elliptic Harnack inequality.
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2012
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-012-0435-2