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On three-state Potts model on a Cayley tree: periodic measures

Published 30 Mar 2014 in math-ph and math.MP | (1403.7809v2)

Abstract: In this paper we show that under some conditions on the parameter of the Potts model with three states with zero external field on the Cayley tree of order $k>2$, there are exactly two periodic (non translation-invariant) Gibbs measures.

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Authors (2)

  1. F. H. Haydarov 
  2. R. M. Khakimov 

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