Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree |
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Authors: | U. A. Rozikov R. M. Khakimov F. Kh. Khaidarov |
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Affiliation: | 1.Romanovskii Institute of Mathematics,Uzbekistan Academy of Sciences,Tashkent,Uzbekistan;2.Namangan State University,Namangan,Uzbekistan;3.Mirzo Ulugbek National University of Uzbekistan,Tashkent,Uzbekistan |
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Abstract: | ![]() 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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