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April 2009 Rate of relaxation for a mean-field zero-range process
Benjamin T. Graham
Ann. Appl. Probab. 19(2): 497-520 (April 2009). DOI: 10.1214/08-AAP549

Abstract

We study the zero-range process on the complete graph. It is a Markov chain model for a microcanonical ensemble. We prove that the process converges to a fluid limit. The fluid limit rapidly relaxes to the appropriate Gibbs distribution.

Citation

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Benjamin T. Graham. "Rate of relaxation for a mean-field zero-range process." Ann. Appl. Probab. 19 (2) 497 - 520, April 2009. https://doi.org/10.1214/08-AAP549

Information

Published: April 2009
First available in Project Euclid: 7 May 2009

zbMATH: 1166.60338
MathSciNet: MR2521877
Digital Object Identifier: 10.1214/08-AAP549

Subjects:
Primary: 60K35
Secondary: 82C20

Keywords: balls , boxes , log Sobolev , Markov chain , Mean field , relaxation , spectral gap , Zero-range process

Rights: Copyright © 2009 Institute of Mathematical Statistics

Vol.19 • No. 2 • April 2009
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