English

On three-state Potts model on a Cayley tree: periodic measures

Mathematical Physics 2015-12-18 v2 math.MP

Abstract

In this paper we show that under some conditions on the parameter of the Potts model with three states with zero external field on the Cayley tree of order k>2k>2, there are exactly two periodic (non translation-invariant) Gibbs measures.

Keywords

Cite

@article{arxiv.1403.7809,
  title  = {On three-state Potts model on a Cayley tree: periodic measures},
  author = {F. H. Haydarov and R. M. Khakimov},
  journal= {arXiv preprint arXiv:1403.7809},
  year   = {2015}
}

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in Russian

R2 v1 2026-06-22T03:38:31.267Z