An improvement of extremality regions for Gibbs measures of the Potts model on a Cayley tree

Algebra, Analysis and Quantum Probability

Haydarov, Farhod^1 ; Khakimov, Rustam^2

National University of Uzbekistan, Tashkent, Uzbekistan^1

Institute of Mathematics, National University of Uzbekistan, Do'rmon Yo'li str.,29, Tashkent

100125, Uzbekistan^2

关键词: Cayley trees;    Gibbs measure;    Q-state Potts model;    Translation invariants;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012019/pdf
DOI  :  10.1088/1742-6596/697/1/012019

来源: IOP

【 摘 要 】

We give a condition of extemelity for translation-invariant Gibbs measures of q - state Potts model on a Cayley tree. We'll improve the regions of extremality for some measures considered in [14]. Moreover, some results in [14] are generalized.