Invariance Principle for the Random Conductance Model with dynamic bounded Conductances
Probability
2014-03-31 v2
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.
Cite
@article{arxiv.1202.0803,
title = {Invariance Principle for the Random Conductance Model with dynamic bounded Conductances},
author = {Sebastian Andres},
journal= {arXiv preprint arXiv:1202.0803},
year = {2014}
}