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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 2, Pages 300–312
DOI: https://doi.org/10.4213/tmf8423 (Mi tmf8423) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Periodic Gibbs measures for the Potts model on the Cayley tree

U. A. Rozikova, R. M. Khakimovb

a Institute of Mathematics, Tashkent, Uzbekistan
b Namangan State University, Namangan, Uzbekistan
Full-text PDF (444 kB) Citations (23)
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DOI: https://doi.org/10.4213/tmf8423
Abstract: We study the Potts model on the Cayley tree. We demonstrate that for this model with a zero external field, periodic Gibbs measures on some invariant sets are translation invariant. Furthermore, we find the conditions under which the Potts model with a nonzero external field admits periodic Gibbs measures.
Keywords: Cayley tree, configuration, Potts model, Gibbs measure, periodic measure, translation-invariant measure.
Received: 08.10.2012
Revised: 26.12.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 2, Pages 699–709
DOI: https://doi.org/10.1007/s11232-013-0055-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. A. Rozikov, R. M. Khakimov, “Periodic Gibbs measures for the Potts model on the Cayley tree”, TMF, 175:2 (2013), 300–312; Theoret. and Math. Phys., 175:2 (2013), 699–709
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v175/i2/p300
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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