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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 11, Pages 54–63 (Mi ivm9052)  
This article is cited in 8 scientific papers (total in 8 papers)

New weakly periodic Gibbs measures of Ising model on Cayley tree

M. M. Rakhmatullaev

Mathematical Institute at the National University of Uzbekistan, 29 Do'rmon Yo'li str., Tashkent, 100125 Republic of Uzbekistan
Full-text PDF (233 kB) Citations (8)
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Abstract: We consider the Ising model on the Cayley tree. For the Ising model, we find a new weakly periodic Gibbs measures corresponding to normal subgroups of index two in the group representation of a Cayley tree.
Keywords: Cayley tree, Gibbs measure, Ising model, weakly periodic measure.
Received: 02.04.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 11, Pages 45–53
DOI: https://doi.org/10.3103/S1066369X15110055
Bibliographic databases:
Document Type: Article
UDC: 517.98+530.1
Language: Russian
Citation: M. M. Rakhmatullaev, “New weakly periodic Gibbs measures of Ising model on Cayley tree”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 11, 54–63; Russian Math. (Iz. VUZ), 59:11 (2015), 45–53
Citation in format AMSBIB
\Bibitem{Rah15}
\by M.~M.~Rakhmatullaev
\paper New weakly periodic Gibbs measures of Ising model on Cayley tree
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 11
\pages 54--63
\mathnet{http://mi.mathnet.ru/ivm9052}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 11
\pages 45--53
\crossref{https://doi.org/10.3103/S1066369X15110055}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84945192331}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:53
     
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