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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 206, Number 2, Pages 210–224
DOI: https://doi.org/10.4213/tmf9970 (Mi tmf9970) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order k=2k=2

M. M. Rahmatullaeva, Zh. D. Dekhkonovb

a Namagan Department of the Romanovski Mathematics Institute, Academy of Sciences of Uzbekistan, Namangan, Uzbekistan
b Andijan State Uneversity, Andijan, Uzbekistan
Full-text PDF (477 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9970
Abstract: We prove the existence of weakly periodic Gibbs measures for the Ising model on the Cayley tree of order k=2k=2 with respect to a normal divisor of index 4.
Keywords: Cayley tree, Gibbs measure, Ising model, weakly periodic measure.
Received: 12.08.2020
Revised: 12.08.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 206, Issue 2, Pages 185–198
DOI: https://doi.org/10.1134/S0040577921020069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. M. Rahmatullaev, Zh. D. Dekhkonov, “Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order k=2k=2”, TMF, 206:2 (2021), 210–224; Theoret. and Math. Phys., 206:2 (2021), 185–198
Citation in format AMSBIB
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\by M.~M.~Rahmatullaev, Zh.~D.~Dekhkonov
\paper Weakly periodic Gibbs measures for the~Ising model on the~Cayley tree of order $k=2$
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\vol 206
\issue 2
\pages 210--224
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\jour Theoret. and Math. Phys.
\yr 2021
\vol 206
\issue 2
\pages 185--198
\crossref{https://doi.org/10.1134/S0040577921020069}
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  • https://www.mathnet.ru/eng/tmf9970
  • https://doi.org/10.4213/tmf9970
  • https://www.mathnet.ru/eng/tmf/v206/i2/p210
    • This publication is cited in the following 3 articles:
    1. Muzaffar M. Rahmatullaev, Zulxumor T. Abdukaxorova, “On H-Weakly Periodic P-Adic Generalized Gibbs Measures of P-Adic Ising Model with an External Field on a Cayley Tree”, Reports on Mathematical Physics, 95:1 (2025), 93  crossref
    2. M. M. Rahmatullaev, B. M. Isakov, “Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree”, Theoret. and Math. Phys., 219:3 (2024), 1048–1059  mathnet  crossref  crossref  mathscinet  adsnasa
    3. M. M. Rakhmatullaev, Zh. D. Dekhkonov, “Suschestvovanie slabo periodicheskikh mer Gibbsa dlya modeli Izinga na dereve Keli poryadka tri”, Vladikavk. matem. zhurn., 23:4 (2021), 77–88  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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