Abstract
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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Original Russian Text Copyright © 2015 Rahmatullaev M.M.
Tashkent. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 5, pp. 1163–1170, September–October, 2015; DOI: 10.17377/smzh.2015.56.515.
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Rahmatullaev, M.M. A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree. Sib Math J 56, 929–935 (2015). https://doi.org/10.1134/S0037446615050158
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DOI: https://doi.org/10.1134/S0037446615050158