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Potts model on a Cayley tree: a new class of Gibbs measures

M. M. RakhmatullaevRomanovsky Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, UzbekistanJ. D. DehkonovAndijan State University, Andijan, Uzbekistan
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Аннотация

We obtain a wide class of new Gibbs measures for the Potts model on a Cayley tree. We present a review of known Gibbs measures of the Potts model on trees, which we compare with our new measures.

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