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Fertile HC models with three states on a cayley tree.

Authors :
Rozikov, U. A.
Shoyusupov, Sh. A.
Source :
Theoretical & Mathematical Physics. Sep2008, Vol. 156 Issue 3, p1319-1330. 12p.
Publication Year :
2008

Abstract

We consider fertile hard-core (HC) models with three states on a homogeneous Cayley tree. It is known that four types of such models exist. For these models, we describe the translation-invariant and periodic HC Gibbs measures. We also construct a uncountable set of nonperiodic Gibbs measures. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00405779
Volume :
156
Issue :
3
Database :
Academic Search Index
Journal :
Theoretical & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
34631081
Full Text :
https://doi.org/10.1007/s11232-008-0109-5