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Matematicheskie Trudy, 2015, Volume 18, Number 2, Pages 112–132
DOI: https://doi.org/10.17377/mattrudy.2015.18.207 (Mi mt296) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree

M. A. Rasulovaa, M. M. Rahmatullaevb

a Namangan State University, Namangan, Uzbekistan
b National University of Uzbekistan, Institute of Mathematics, Tashkent, Uzbekistan
Full-text PDF (248 kB) Citations (15)
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DOI: https://doi.org/10.17377/mattrudy.2015.18.207
Abstract: We consider the Potts model with competing interactions on the Cayley tree of order $k$ with $k\geq 2$. We describe the sets of periodic and weakly periodic ground states corresponding to normal subgroups of the group representation of the Cayley tree of index $4$.
Key words: Cayley tree, Potts model, periodic and weakly periodic ground states.
Received: 09.07.2014
English version:
Siberian Advances in Mathematics, 2016, Volume 26, Issue 3, Pages 215–229
DOI: https://doi.org/10.3103/S1055134416030056
Bibliographic databases:
Document Type: Article
UDC: 517.98+530.1
Language: Russian
Citation: M. A. Rasulova, M. M. Rahmatullaev, “Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree”, Mat. Tr., 18:2 (2015), 112–132; Siberian Adv. Math., 26:3 (2016), 215–229
Citation in format AMSBIB
\Bibitem{RasRah15}
\by M.~A.~Rasulova, M.~M.~Rahmatullaev
\paper Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 2
\pages 112--132
\mathnet{http://mi.mathnet.ru/mt296}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588294}
\elib{https://elibrary.ru/item.asp?id=24639784}
\transl
\jour Siberian Adv. Math.
\yr 2016
\vol 26
\issue 3
\pages 215--229
\crossref{https://doi.org/10.3103/S1055134416030056}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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