Rustam Khakimov
Published 2015-12-13Version 1
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.
New weakly periodic Gibbs measures for HC model on a Cayley tree of order two
Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six
An extremality of the translation-invariant Gibbs measure for the HC-model on a Cayley tree
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