Invariance principle for the random conductance model with unbounded conductances
type: Item
instance of: scholarly article
title: Invariance principle for the random conductance model with unbounded conductances
zbMATH Open document ID: 1189.60187
DOI: 10.1214/09-AOP481
author: Martin T. Barlow
author: Jean-Dominique Deuschel
published in: The Annals of Probability
publication date: 2010-03-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/1001.4702
review text: The paper deals with a continuous time random walk \(X\) in an environment of i.i.d. random conductances. One considers more especially the long-range behaviour of \(X\) and one obtains heat kernel bounds for the transition density of \(X\) and a quenched or P-a.s. invariance principle for \(X\).
Mathematics Subject Classification ID: 60K37
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 82C41
zbMATH DE Number: 5678679
zbMATH Keywords: random conductance model
zbMATH Keywords: heat kernel
zbMATH Keywords: invariance principle
zbMATH Keywords: ergodic
zbMATH Keywords: corrector
reviewed by: Guy Jumarie
MaRDI profile type: Publication
arXiv ID: 1001.4702
cites work: Random walks on supercritical percolation clusters
cites work: Parabolic Harnack inequality and local limit theorem for percolation clusters
cites work: ON ARONSON'S UPPER BOUNDS FOR HEAT KERNELS
cites work: The construction of Brownian motion on the Sierpinski carpet
cites work: Aging in two-dimensional Bouchaud's model
cites work: Scaling limit for trap models on \(\mathbb Z^d\)
cites work: The arcsine law as a universal aging scheme for trap models
cites work: Uniform spanning forests
cites work: Quenched invariance principle for simple random walk on percolation clusters
cites work: Anomalous heat-kernel decay for random walk among bounded random conductances
cites work: Functional CLT for random walk among bounded random conductances
cites work: The ergodic theorem for additive cocycles of ℤd or ℝd
cites work: Upper bounds for symmetric Markov transition functions
cites work: Large Deviations for Heat Kernels on Graphs
cites work: Analysis on graphs and noncommutative geometry
cites work: An invariance principle for reversible Markov processes. Applications to random motions in random environments
cites work: Parabolic Harnack inequality and estimates of Markov chains on graphs
cites work: On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to \(\nabla\varphi\) interface model
cites work: Probability
cites work: A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
cites work: Dirichlet forms and symmetric Markov processes
cites work: THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
cites work: Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
cites work: Q3738376
cites work: Q4261780
cites work: Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
cites work: The method of averaging and walks in inhomogeneous environments
cites work: Quenched invariance principles for random walks on percolation clusters
cites work: Quenched invariance principles for random walks with random conductances
cites work: Continuity of Solutions of Parabolic and Elliptic Equations
cites work: Q3993586
cites work: Quenched invariance principles for walks on clusters of percolation or among random conduc\-tances
OpenAlex ID: W3101233967
description: scientific article