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Invariance Principle for the one-dimensional dynamic Random Conductance Model under Moment Conditions (1604.03826v2)
Published 13 Apr 2016 in math.PR
Abstract: Recent progress in the understanding of quenched invariance principles (QIP) for a continuous-time random walk on $\mathbb{Z}d$ in an environment of dynamical random conductances is reviewed and extended to the $1$-dimensional case. The law of the conductances is assumed to be ergodic with respect to time-space shifts and satisfies certain integrability conditions.