We study a continuous-time random walk, X, on Zd in an environment of dynamic random conductances taking values in (0,∞). We assume that the law of the conductances is ergodic with respect to space-time shifts. We prove a quenched invariance principle for the Markov process X under some moment conditions on the environment. The key result on the sublinearity of the corrector is obtained by Moser's iteration scheme.
Quenched invariance principle for random walks with time-dependent ergodic degenerate weights
Chiarini A.;
2018
Abstract
We study a continuous-time random walk, X, on Zd in an environment of dynamic random conductances taking values in (0,∞). We assume that the law of the conductances is ergodic with respect to space-time shifts. We prove a quenched invariance principle for the Markov process X under some moment conditions on the environment. The key result on the sublinearity of the corrector is obtained by Moser's iteration scheme.
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