Recent progress on the Random Conductance Model
Probability
2012-01-04 v3 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Abstract
Recent progress on the understanding of the Random Conductance Model is reviewed and commented. A particular emphasis is on the results on the scaling limit of the random walk among random conductances for almost every realization of the environment, observations on the behavior of the effective resistance as well as the scaling limit of certain models of gradient fields with non-convex interactions. The text is an expanded version of the lecture notes for a course delivered at the 2011 Cornell Summer School on Probability.
Cite
@article{arxiv.1112.0104,
title = {Recent progress on the Random Conductance Model},
author = {Marek Biskup},
journal= {arXiv preprint arXiv:1112.0104},
year = {2012}
}
Comments
80 pages, version published in Prob. Surveys