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Type: Artigo
Title: The Aggregate Path Coupling Method For The Potts Model On Bipartite Graph
Author: Hernandez
Jose C.; Kovchegov
Yevgeniy; Otto
Peter T.
Abstract: In this paper, we derive the large deviation principle for the Potts model on the complete bipartite graph K-n,K-n as n increases to infinity. Next, for the Potts model on K-n,K-n, we provide an extension of the method of aggregate path coupling that was originally developed in the work of Kovchegov, Otto, and Titus [J. Stat. Phys. 144(5), 10091027 (2011)] for the mean-field Blume-Capel model and in Kovchegov and Otto [J. Stat. Phys. 161(3), 553-576 (2015)] for a general mean-field setting that included the generalized Curie-Weiss-Potts model analyzed in the work of Jahnel et al. [Markov Process. Relat. Fields 20, 601-632 (2014)]. We use the aggregate path coupling method to identify and determine the threshold value beta(s) separating the rapid and slow mixing regimes for the Glauber dynamics of the Potts model on K-n,K-n. Published by AIP Publishing.
Editor: Amer Inst Physics
Citation: Journal Of Mathematical Physics. Amer Inst Physics, v. 58, p. , 2017.
Rights: fechado
Identifier DOI: 10.1063/1.4976502
Date Issue: 2017
Appears in Collections:Unicamp - Artigos e Outros Documentos

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