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Recent progress on the Random Conductance Model

book
Language:
Author: Marek Biskup
Url: http://arxiv.org/abs/1112.0104
Format: Ps, Pdf
Year: 2011
Category: Probability Theory
Pages: 80
Clicks: 1249

Description
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.

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