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Periodic Gibbs measures for the Potts model on the Cayley tree |
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| Authors: | U. A. Rozikov R. M. Khakimov |
| Affiliation: | 1. Institute of Mathematics, Tashkent, Uzbekistan 2. Namangan State University, Namangan, Uzbekistan |
| Abstract: | We study the Potts model on the Cayley tree. We demonstrate that for this model with a zero external field, periodic Gibbs measures on some invariant sets are translation invariant. Furthermore, we find the conditions under which the Potts model with a nonzero external field admits periodic Gibbs measures. |
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