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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 1, Pages 60–70
DOI: https://doi.org/10.4213/tmf6966 (Mi tmf6966) 		 
This article is cited in 7 scientific papers (total in 7 papers)

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

U. A. Rozikova, R. M. Khakimovb

a Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
b Namangan State University, Namangan, Uzbekistan
Full-text PDF (411 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6966
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.
Keywords: Cayley tree, configuration, hard-core model, Gibbs measure, periodic measure, weakly periodic measure.
Received: 20.02.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 1, Pages 1377–1386
DOI: https://doi.org/10.1007/s11232-012-0120-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. A. Rozikov, R. M. Khakimov, “The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model”, TMF, 173:1 (2012), 60–70; Theoret. and Math. Phys., 173:1 (2012), 1377–1386
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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