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arXiv · 1202.0803

Invariance Principle for the Random Conductance Model with dynamic bounded Conductances

Sebastian Andres
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Abstract

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.

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Sebastian Andres. 2012-02-03. Invariance Principle for the Random Conductance Model with dynamic bounded Conductances. https://doi.org/10.1214/12-aihp527

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