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Periodic Gibbs measures for the two states HC model on a Cayley tree

Mathematical Physics 2021-11-23 v1 math.MP

Abstract

A complete description of two-periodic Gibbs measures on the Cayley tree of orders two and three for HC model with two states is obtained and using the reconstruction method, the extremality of these measures in the area of their existence is proved.

Keywords

Cite

@article{arxiv.2111.11163,
  title  = {Periodic Gibbs measures for the two states HC model on a Cayley tree},
  author = {U. Rozikov and R. Khakimov and M. Makhammadaliev},
  journal= {arXiv preprint arXiv:2111.11163},
  year   = {2021}
}

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