Invariance Principle for the Random Conductance Model with dynamic bounded Conductances

Details Invariance Principle for the Random Conductance Model with dynamic bounded Conductances Invariance Principle for the Random Conductance Model with dynamic bounded Conductances

2012-02-03

arxiv.org/abs/1202.0803v1

Mathematics

Probability

Scientific paper

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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