Invariance Principle for the one-dimensional dynamic Random Conductance   Model under Moment Conditions
  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. 
Jean-Dominique Deuschel, Martin Slowik
math.PR