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

14 Jan 2017 Hernandez Jose C. Kovchegov Yevgeniy Otto Peter T.

In this paper, we derive the large deviations principle for the Potts model on the complete bipartite graph $K_{n,n}$ as $n$ increases to infinity. Next, for the Potts model on $K_{n,n}$, we provide an extension of the method of aggregate path coupling that was originally developed in Kovchegov et al 2011 for the mean-field Blume-Capel model and in Kovchegov and Otto 2015 for a general mean-field setting that included the Generalized Curie-Weiss-Potts model analyzed in Cuff et al 2012... (read more)

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  • PROBABILITY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS