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arxiv: 1610.04755 · v1 · pith:UE74VDU3new · submitted 2016-10-15 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords measurecayleyextremalitytranslation-invarianttreegibbshc-modelfound
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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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