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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 2 scientific papers (total in 2 papers)

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

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
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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 $k=2$ 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 $k=2$”, TMF, 206:2 (2021), 210–224; Theoret. and Math. Phys., 206:2 (2021), 185–198
Citation in format AMSBIB
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\crossref{https://doi.org/10.1134/S0040577921020069}
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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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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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