Invariance Principle for the Random Conductance Model with dynamic bounded Conductances
نویسنده
چکیده
We study a continuous time random walk X in an environment of dynamic random conductances in Zd. We assume that the conductances are stationary ergodic, uniformly bounded and bounded away from zero and polynomially mixing in space and time. We prove a quenched invariance principle for X, and obtain Green’s functions bounds and a local limit theorem. We also discuss a connection to stochastic interface models.
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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تاریخ انتشار 2012