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Translation-invariant and weakly periodic Gibbs measures for HC-models on a Cayley tree (1601.02558v1)
Published 13 Dec 2015 in math-ph and math.MP
Abstract: In this paper is studied HC-models on a Cayley tree. two states HC-model on a Cayley tree and Under some conditions on parameters of the two state HC-model we prove existence exactly two of the weakly periodic (non periodic) Gibbs measures. Furthermore, it considered translation-invariant Gibbs measures for fertile four state HC-models and for one of them it proved the non-uniqueness of the translation-invariant Gibbs measure.
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