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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 215, Number 1, Pages 150–162
DOI: https://doi.org/10.4213/tmf10374 (Mi tmf10374) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Potts model on a Cayley tree: a new class of Gibbs measures

M. M. Rahmatullaeva, Zh. D. Dekhkonovb

a Romanovsky Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
b Andijan State University, Andijan, Uzbekistan
Full-text PDF (509 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10374
Abstract: We obtain a wide class of new Gibbs measures for the Potts model on a Cayley tree. We present a review of known Gibbs measures of the Potts model on trees, which we compare with our new measures.
Keywords: Cayley tree, Potts model, Gibbs measure, weakly periodic Gibbs measures.
Received: 17.09.2022
Revised: 17.11.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 215, Issue 1, Pages 586–597
DOI: https://doi.org/10.1134/S0040577923040086
Bibliographic databases:
Document Type: Article
MSC: 82B05, 82B20, 60K35
Language: Russian
Citation: M. M. Rahmatullaev, Zh. D. Dekhkonov, “Potts model on a Cayley tree: a new class of Gibbs measures”, TMF, 215:1 (2023), 150–162; Theoret. and Math. Phys., 215:1 (2023), 586–597
Citation in format AMSBIB
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\by M.~M.~Rahmatullaev, Zh.~D.~Dekhkonov
\paper Potts model on a~Cayley tree: a~new class of Gibbs measures
\jour TMF
\yr 2023
\vol 215
\issue 1
\pages 150--162
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\crossref{https://doi.org/10.4213/tmf10374}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...215..586R}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 215
\issue 1
\pages 586--597
\crossref{https://doi.org/10.1134/S0040577923040086}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85152945612}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:29
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