Logo

Recent Progress on the Random Conductance Model

Recent Progress on the Random Conductance Model
by

Publisher: arXiv
Number of pages: 80

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.

Home page url

Download or read it online for free here:
Download link
(1.3MB, PDF)

Similar books

Book cover: Almost None of the Theory of Stochastic ProcessesAlmost None of the Theory of Stochastic Processes
by - Carnegie Mellon University
Text for a second course in stochastic processes. It is assumed that you have had a first course on stochastic processes, using elementary probability theory. You will study stochastic processes within the framework of measure-theoretic probability.
(11977 views)
Book cover: Random Walks and Electric NetworksRandom Walks and Electric Networks
by - Dartmouth College
In this work we will look at the interplay of physics and mathematics in terms of an example where the mathematics involved is at the college level. The example is the relation between elementary electric network theory and random walks.
(7884 views)
Book cover: Lecture Notes on Free ProbabilityLecture Notes on Free Probability
by - arXiv
Contents: Non-commutative Probability Spaces; Distributions; Freeness; Asymptotic Freeness of Random Matrices; Asymptotic Freeness of Haar Unitary Matrices; Free Products of Probability Spaces; Law of Addition; Limit Theorems; Multivariate CLT; etc.
(7926 views)
Book cover: Lectures on Integrable ProbabilityLectures on Integrable Probability
by - arXiv
Topics include integrable models of random growth, determinantal point processes, Schur processes and Markov dynamics on them, Macdonald processes and their application to asymptotics of directed polymers in random media.
(8081 views)