English

New periodic Gibbs measures for Potts model with q-states on a Cayley tree

Mathematical Physics 2015-01-28 v1 math.MP

Abstract

In this paper under some conditions on parameters of the Potts model with q-states on a Cayley tree of order k it is proved existence of the periodic (non translation-invariant)Gibbs measures. Also given a theorem about the number of these measures.

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Cite

@article{arxiv.1406.0472,
  title  = {New periodic Gibbs measures for Potts model with q-states on a Cayley tree},
  author = {Rustam Khakimov},
  journal= {arXiv preprint arXiv:1406.0472},
  year   = {2015}
}

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