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The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model.

Authors :
Rozikov, U.
Khakimov, R.
Source :
Theoretical & Mathematical Physics. Oct2012, Vol. 173 Issue 1, p1377-1386. 10p.
Publication Year :
2012

Abstract

We study the hard-core model on the Cayley tree. We show that this model admits only periodic Gibbs measures with the period two. We find sufficient conditions for all weakly periodic Gibbs measures to be translation invariant. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00405779
Volume :
173
Issue :
1
Database :
Academic Search Index
Journal :
Theoretical & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
83185122
Full Text :
https://doi.org/10.1007/s11232-012-0120-8