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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 3, Pages 297–304 (Mi jsfu374)  
This article is cited in 6 scientific papers (total in 6 papers)

New periodic Gibbs measures for $q$-state Potts model on a Cayley tree

Rustamjon M. Khakimov

Institute of Mathematics, National University of Uzbekistan, Do’rmon Yo’li, 29, Tashkent, 100125, Uzbekistan
Full-text PDF (162 kB) Citations (6)
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Abstract: In this paper under some conditions on parameters of the $q$-state Potts model on a Cayley tree of order k we prove existence of the periodic (non translation-invariant) Gibbs measures. Also we give a result about the number of such measures.
Keywords: Cayley tree, configuration, Potts model, Gibbs measure, periodic Gibbs measures, translation-invariant measures.
Received: 06.03.2014
Received in revised form: 29.04.2014
Accepted: 26.05.2014
Document Type: Article
UDC: 517.98
Language: English
Citation: Rustamjon M. Khakimov, “New periodic Gibbs measures for $q$-state Potts model on a Cayley tree”, J. Sib. Fed. Univ. Math. Phys., 7:3 (2014), 297–304
Citation in format AMSBIB
\Bibitem{Kha14}
\by Rustamjon~M.~Khakimov
\paper New periodic Gibbs measures for $q$-state Potts model on a Cayley tree
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 3
\pages 297--304
\mathnet{http://mi.mathnet.ru/jsfu374}
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    • This publication is cited in the following 6 articles:
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