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2012 Symmetric exclusion as a model of non-elliptic dynamical random conductances
Luca Avena
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Electron. Commun. Probab. 17: 1-8 (2012). DOI: 10.1214/ECP.v17-2081


We consider a finite range symmetric exclusion process on the integer lattice in any dimension. We interpret it as a non-elliptic time-dependent random conductance model by setting conductances equal to one over the edges with end points occupied by particles of the exclusion process and to zero elsewhere. We prove a law of large number and a central limit theorem for the random walk driven by such a dynamical field of conductances using the Kipnis-Varhadan martingale approximation. Unlike the tagged particle in the exclusion process, which is in some sense similar to this model, this random walk is diffusive even in the one-dimensional nearest-neighbor symmetric case.


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Luca Avena. "Symmetric exclusion as a model of non-elliptic dynamical random conductances." Electron. Commun. Probab. 17 1 - 8, 2012.


Accepted: 1 October 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1252.60097
MathSciNet: MR2988390
Digital Object Identifier: 10.1214/ECP.v17-2081

Primary: 60K37
Secondary: 82C22

Keywords: Exclusion process , invariance principle , Law of Large Numbers , Random conductances


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