English

On $p$-state $p$-adic Potts model on a Cayley tree

Functional Analysis 2014-03-31 v1

Abstract

This work is devoted to description of all translation-invariant pp-adic Gibbs measures for the qq-state Potts model on a Cayley tree. In particular for the Cayley tree of order three we give exact number of such measures.

Cite

@article{arxiv.1402.7171,
  title  = {On $p$-state $p$-adic Potts model on a Cayley tree},
  author = {Otabek Khakimov},
  journal= {arXiv preprint arXiv:1402.7171},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1310.6220, arXiv:math-ph/0510025, arXiv:1208.3366, arXiv:1011.1395, arXiv:1107.4884, arXiv:0705.0244, arXiv:1402.6150 by other authors

R2 v1 2026-06-22T03:17:41.069Z