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arXiv:1502.07723 [math-ph]AbstractReferencesReviewsResources

Uniqueness of the translation-invariant Gibbs measure for Hard-Core models with four-states on the Cayley tree

R. M. Khakimov

Published 2015-01-12Version 1

We consider fertile HC-models with four-states and the parametre activity on a Cayley tree. It is known that three types of such models exist. For each of these models we prove uniqueness of the translation-invarinat Gibbs measure on a Cayley tree of order two.

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