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arXiv:1202.0803 [math.PR]AbstractReferencesReviewsResources

Invariance Principle for the Random Conductance Model with dynamic bounded Conductances

Sebastian Andres

Published 2012-02-03, updated 2012-10-11Version 2

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

Journal: Ann. Inst. H. Poincar\'e Probab. Statist. , Volume 50, Number 2 (2014), 315-713
Categories: math.PR
Subjects: 60K37, 60F17, 82C41
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