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Invariance principle for the random conductance model with dynamic bounded conductances

Sebastian Andres (2014)

Annales de l'I.H.P. Probabilités et statistiques

We study a continuous time random walk X in an environment of dynamic random conductances in 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.

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