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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The aggregate path coupling method for the Potts model on bipartite graph

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Hernandez, Jose C. ; Kovchegov, Yevgeniy ; Otto, Peter T.
Total Authors: 3
Document type: Journal article
Source: Journal of Mathematical Physics; v. 58, n. 2 FEB 2017.
Web of Science Citations: 0

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. (AU)

FAPESP's process: 15/16407-8 - Phase transition and critical phenomena in two-dimensional discrete quantum gravity
Grantee:José Javier Cerda Hernández
Support type: Scholarships abroad - Research Internship - Post-doctor