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|Title:||The Aggregate Path Coupling Method For The Potts Model On Bipartite Graph|
Jose C.; Kovchegov
|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|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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