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Matematicheskie Zametki, 2022, Volume 112, Issue 1, Pages 106–117
DOI: https://doi.org/10.4213/mzm13390 (Mi mzm13390) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree

M. M. Rahmatullaeva, M. A. Rasulovab

a Institute of Mathematics, National University of Uzbekistan named by after Mirzo Ulugbek
b Namangam State University
Full-text PDF (544 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13390
Abstract: For the Potts model with external field and a countable set of spin values on the Cayley tree of order $k\ge2$, the set of periodic ground states corresponding to normal divisors of indices 2 and 4 of the group presentation of the Cayley tree is described and the set of nonperiodic ground states is studied.
Keywords: Cayley tree, Potts model with external field, ground states.
Funding agency Grant number
Commitee for coordination science and technologies under Cabinet Ministers of the Republic of Uzbekistan Ф-ФА-2021-425
This work was supported by the State Grant F-FA-2021-425 of the Republic of Uzbekistan.
Received: 10.12.2021
Revised: 15.03.2022
Published: 29.06.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 1, Pages 116–125
DOI: https://doi.org/10.1134/S0001434622070136
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: M. M. Rahmatullaev, M. A. Rasulova, “Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree”, Mat. Zametki, 112:1 (2022), 106–117; Math. Notes, 112:1 (2022), 116–125
Citation in format AMSBIB
\Bibitem{RahRas22}
\by M.~M.~Rahmatullaev, M.~A.~Rasulova
\paper Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 1
\pages 106--117
\mathnet{http://mi.mathnet.ru/mzm13390}
\crossref{https://doi.org/10.4213/mzm13390}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4461334}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 1
\pages 116--125
\crossref{https://doi.org/10.1134/S0001434622070136}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136677658}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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