M. M. Rahmatullaev, Zh. D. Dekhkonov, “Potts model on a Cayley tree: a new class of Gibbs measures”, TMF, 2023, Volume 215, Number 1,Pages <nobr>150

This article is cited in 1 paper

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

M. M. Rahmatullaev^a, Zh. D. Dekhkonov^b

^a Romanovsky Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
^b Andijan State University, Andijan, Uzbekistan

Abstract: We obtain a wide class of new Gibbs measures for the Potts model on a Cayley tree. We present a review of known Gibbs measures of the Potts model on trees, which we compare with our new measures.

Keywords: Cayley tree, Potts model, Gibbs measure, weakly periodic Gibbs measures.

MSC: 82B05, 82B20, 60K35

Received: 17.09.2022
Revised: 17.11.2022

DOI: 10.4213/tmf10374