Periodic Gibbs measures for the two states HC model on a Cayley tree

A complete description of two-periodic Gibbs measures on the Cayley tree of orders two and three for HC model with two states is obtained and using the reconstruction method, the extremality of these measures in the area of their existence is proved.

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-11
Main Authors: Rozikov, U, Khakimov, R, Makhammadaliev, M
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A complete description of two-periodic Gibbs measures on the Cayley tree of orders two and three for HC model with two states is obtained and using the reconstruction method, the extremality of these measures in the area of their existence is proved.
ISSN:2331-8422