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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 5, Pages 1163–1170
DOI: https://doi.org/10.17377/smzh.2015.56.515 (Mi smj2705) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree

M. M. Rahmatullaev

Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (290 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2015.56.515
Abstract: We study the Potts model with $q$ states in a Cayley tree of order $k\ge2$. For the ferromagnetic Potts model, we prove the existence of a weakly periodic Gibbs measure that is not translation-invariant.
Keywords: Cayley tree, Gibbs measure, Potts model, weakly periodic Gibbs measure.
Received: 17.11.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 5, Pages 929–935
DOI: https://doi.org/10.1134/S0037446615050158
Bibliographic databases:
Document Type: Article
UDC: 517.98+530.1
Language: Russian
Citation: M. M. Rahmatullaev, “A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree”, Sibirsk. Mat. Zh., 56:5 (2015), 1163–1170; Siberian Math. J., 56:5 (2015), 929–935
Citation in format AMSBIB
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\paper A weakly periodic Gibbs measure for the ferromagnetic Potts model on a~Cayley tree
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\vol 56
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\pages 1163--1170
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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