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November 1998 Nonreversible stationary measures for exchange processes
Amine Asselah
Ann. Appl. Probab. 8(4): 1303-1311 (November 1998). DOI: 10.1214/aoap/1028903382

Abstract

We consider nonreversible exchange dynamics in $Z^d$ and prove that the stationary, translation invariant measures satisfy the following property: if one of them is a Gibbs measure with a summable potential ${J_R, R \subset Z^d}$, then all of them are convex combinations of Gibbs measures with the same potential, but different chemical potentials $J_{\{0\}}$.

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Amine Asselah. "Nonreversible stationary measures for exchange processes." Ann. Appl. Probab. 8 (4) 1303 - 1311, November 1998. https://doi.org/10.1214/aoap/1028903382

Information

Published: November 1998
First available in Project Euclid: 9 August 2002

zbMATH: 0951.60096
MathSciNet: MR1661196
Digital Object Identifier: 10.1214/aoap/1028903382

Subjects:
Primary: 28D10 , 60K35 , 82C22

Keywords: Gibbs measures , nonreversible stationary measures , Relative entropy

Rights: Copyright © 1998 Institute of Mathematical Statistics

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Vol.8 • No. 4 • November 1998
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