Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree
U. A. RozikovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, UzbekistanР. М. ХакимовNamangan State University, Namangan, UzbekistanF. Kh. KhaidarovMirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
ABI
Аннотация
We study translation-invariant Gibbs measures for the ferromagnetic Potts model with q states on the Cayley tree of order k and generalize some earlier results. We consider the question of the extremality of the known translation-invariant Gibbs measures for the Potts model with three states on the Cayley tree of order k = 3.
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