English

The Potts model on a Cayley tree: the new class of Gibbs measures

Mathematical Physics 2022-11-23 v1 math.MP

Abstract

For the Potts model on Cayley trees, a very wide class of new Gibbs measures is given. We give a review of all known Gibbs measures of the Potts model on trees and compare them with our new measures.

Keywords

Cite

@article{arxiv.2211.12128,
  title  = {The Potts model on a Cayley tree: the new class of Gibbs measures},
  author = {Muzaffar M. Rahmatullaev and Dekhkonov D. Jasur},
  journal= {arXiv preprint arXiv:2211.12128},
  year   = {2022}
}

Comments

18 pages, in Russian language, 4 figures