M. M. Rahmatullaev, Zh. D. Dekhkonov, “Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order <nobr>$k=2$</nobr>”, TMF, 2021, Volume 206, Number 2,Pages <nobr>210

This article is cited in 2 papers

Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $k=2$

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

^a Namagan Department of the Romanovski Mathematics Institute, Academy of Sciences of Uzbekistan, Namangan, Uzbekistan
^b Andijan State Uneversity, Andijan, Uzbekistan

Abstract: We prove the existence of weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $k=2$ with respect to a normal divisor of index 4.

Keywords: Cayley tree, Gibbs measure, Ising model, weakly periodic measure.

Received: 12.08.2020
Revised: 12.08.2020

DOI: 10.4213/tmf9970