New periodic Gibbs measures for Potts model with q-states on a Cayley tree

Published 16 Apr 2014 in math-ph and math.MP | (1406.0472v1)

Abstract: In this paper under some conditions on parameters of the Potts model with q-states on a Cayley tree of order k it is proved existence of the periodic (non translation-invariant)Gibbs measures. Also given a theorem about the number of these measures.

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Rustam Khakimov

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