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Invariance Principle for the Random Conductance Model with dynamic bounded conductances
"... We study a continuous time random walk X in an environment of dynamic random conductances in Z d. 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 ..."
Abstract

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We study a continuous time random walk X in an environment of dynamic random conductances in Z d. 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.
Directed random walk on the backbone of an oriented percolation cluster
, 2013
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