Rate functions for random walks on Random conuctance Models and related topics

Abstract

We consider laws of the iterated logarithm and the rate function for sample paths of random walks on random conductance models under the assumption that the random walks enjoy long time sub-Gaussian heat kernel estimates.

24 pages

References in corpus (2)

• Random walks on supercritical percolation clusters
• Law of the Iterated Logarithm for the random walk on the infinite percolation cluster