Periodic Gibbs measures for the two states HC model on a Cayley tree
U. Rozikov, R.Khakimov, M.Makhammadaliev
TL;DR
This paper characterizes two-periodic Gibbs measures for a two-state HC model on Cayley trees of orders two and three, and proves their extremality within their existence region using the reconstruction method.
Contribution
It provides a complete description of two-periodic Gibbs measures for the two-state HC model on specific Cayley trees and establishes their extremality.
Findings
Complete description of two-periodic Gibbs measures
Proof of extremality of these measures
Application of the reconstruction method
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsOpinion Dynamics and Social Influence · Theoretical and Computational Physics · Stochastic processes and statistical mechanics