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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 210, Number 2, Pages 302–316
DOI: https://doi.org/10.4213/tmf10156 (Mi tmf10156) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree

F. Kh. Khaidarovab, R. A. Ilyasovaa

a Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
b AKFA University, Tashkent, Uzbekistan
Full-text PDF (443 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf10156
Abstract: We give a full description of all index-$4$ subgroups of the group representation of a Cayley tree. Also, we give new weakly periodic Gibbs measures of the Ising model corresponding to index-$4$ subgroups of the group representation of the Cayley tree.
Keywords: Cayley tree, group representation of Cayley tree, subgroups, Ising model, Gibbs measure.
Received: 31.07.2021
Revised: 23.09.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 2, Pages 261–274
DOI: https://doi.org/10.1134/S0040577922020076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. Kh. Khaidarov, R. A. Ilyasova, “On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree”, TMF, 210:2 (2022), 302–316; Theoret. and Math. Phys., 210:2 (2022), 261–274
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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