Resumen de Quenched invariance principle for random walks with time-dependent ergodic degenerate weights

Sebastian Andres, Alberto Chiarini, Jean-Dominique Deuschel, Martin Slowik

• We study a continuous-time random walk, XX, on ZdZd in an environment of dynamic random conductances taking values in (0,∞)(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 XX under some moment conditions on the environment. The key result on the sublinearity of the corrector is obtained by Moser’s iteration scheme.