Translation-invariant Gibbs measures for the fertile HC-models with three states on a Cayley tree

Translation-invariant Gibbs measures for the fertile HC-models with three states on a Cayley tree

We consider fertile HC-models with three states on a Cayley tree. It is known that four types of such models exist. For these models we describe the translation-invarinat Gibbs measures on a Cayley tree of order three.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2014-05
1. Verfasser: Khakimov, Rustam
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
Mathematics - Mathematical Physics
Physics - Mathematical Physics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider fertile HC-models with three states on a Cayley tree. It is known that four types of such models exist. For these models we describe the translation-invarinat Gibbs measures on a Cayley tree of order three.
ISSN:2331-8422
DOI:10.48550/arxiv.1406.0473