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A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree

M. M. RahmatullaevInstitute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
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We study the Potts model with q states in a Cayley tree of order k ≥ 2. For the ferromagnetic Potts model, we prove the existence of a weakly periodic Gibbs measure that is not translationinvariant.

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