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arXiv:1610.04755 [math-ph]AbstractReferencesReviewsResources

An extremality of the translation-invariant Gibbs measure for the HC-model on a Cayley tree

U. A. Rozikov, R. M. Khakimov

Published 2016-10-15Version 1

In this paper we study the extremality of translation-invariant Gibbs measure for the HC-model on a Cayley tree. It is known that for this model the translation-invariant measure is unique. We give a new proof of this statement and found regions of the extremality of this measure on the Cayley tree of order k.

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