F. Kh. Khaidarov, R. A. Ilyasova, “On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree”, TMF, 2022, Volume 210, Number 2,Pages <nobr>302

This article is cited in 4 papers

On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree

F. Kh. Khaidarov^ab, R. A. Ilyasova^a

^a Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
^b AKFA University, Tashkent, Uzbekistan

Abstract: We give a full description of all index-$4$ subgroups of the group representation of a Cayley tree. Also, we give new weakly periodic Gibbs measures of the Ising model corresponding to index-$4$ subgroups of the group representation of the Cayley tree.

Keywords: Cayley tree, group representation of Cayley tree, subgroups, Ising model, Gibbs measure.

Received: 31.07.2021
Revised: 23.09.2021

DOI: 10.4213/tmf10156