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October 2002 Entropy inequalities for unbounded spin systems
Paolo Dai Pra, Anna Maria Paganoni, Gustavo Posta
Ann. Probab. 30(4): 1959-1976 (October 2002). DOI: 10.1214/aop/1039548378

Abstract

We consider nonconservative, reversible spin systems, with unbounded discrete spins. We show that for a class of these dynamics in a high temperature regime, the relative entropy with respect to the equilibrium distribution decays exponentially in time, although the logarithmic-Sobolev inequality fails. To this end we prove a weaker modification of the logarithmic-Sobolev inequality.

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Paolo Dai Pra. Anna Maria Paganoni. Gustavo Posta. "Entropy inequalities for unbounded spin systems." Ann. Probab. 30 (4) 1959 - 1976, October 2002. https://doi.org/10.1214/aop/1039548378

Information

Published: October 2002
First available in Project Euclid: 10 December 2002

zbMATH: 1013.60076
MathSciNet: MR1944012
Digital Object Identifier: 10.1214/aop/1039548378

Subjects:
Primary: 60K35, 82C22

Rights: Copyright © 2002 Institute of Mathematical Statistics

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Vol.30 • No. 4 • October 2002
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