Fertile Three State Hard-Core Models on a Cayley Tree

Fertile Three State Hard-Core Models on a Cayley Tree

We consider nearest-neighbor fertile hard-core models, with three states, on a homogeneous Cayley tree. It is known that there are four type of such models. We investigate all of them and describe translation-invariant and periodic hard-core Gibbs measures. Also we construct a continuum set of non-p...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Rozikov, U. A, Shoyusupov, Sh. A
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Mathematical Physics
Mathematics - Probability
Physics - Mathematical Physics
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider nearest-neighbor fertile hard-core models, with three states, on a homogeneous Cayley tree. It is known that there are four type of such models. We investigate all of them and describe translation-invariant and periodic hard-core Gibbs measures. Also we construct a continuum set of non-periodic Gibbs measures.
DOI:10.48550/arxiv.math-ph/0703039