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arXiv · 2008.02162

Extremality of the unique translation-invariant Gibbs measure for HC models on the Cayley tree of order three

R. M. Khakimov·K. O. Umirzakova
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Abstract

We consider fertile three-state hard core models with the activity parameter on an order-three Cayley tree. It is known that there exist four types of such models: in two of them the regions of extremality of the unique translation-invariant Gibbs measure were found.

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R. M. Khakimov, K. O. Umirzakova. 2020-08-03. Extremality of the unique translation-invariant Gibbs measure for HC models on the Cayley tree of order three. https://arxiv.org/abs/2008.02162

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