Weakly Periodic Gibbs Measures in the HC-Model for a Normal Divisor of Index Four

We study an HC-model on a Cayley tree. Under certain restrictions imposed on the parameters of the HC-model, we prove the existence of weakly periodic (nonperiodic) Gibbs measures for a normal divisor of index four.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2016-03, Vol.67 (10), p.1584-1598
Main Author: Khakimov, R. M.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:We study an HC-model on a Cayley tree. Under certain restrictions imposed on the parameters of the HC-model, we prove the existence of weakly periodic (nonperiodic) Gibbs measures for a normal divisor of index four.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1174-9