Invariance principle for the random conductance model in a degenerate ergodic environment Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik

We study a continuous time random walk, X, on Zd in an environment of random conductances taking values in (0,.). We assume that the law of the conductances is ergodic with respect to space shifts. We prove a quenched invariance principle for X under some moment conditions of the environment. The key result on the sublinearity of the corrector is obtained by Moser.s iteration scheme.