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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 210, Number 3, Pages 470–484
DOI: https://doi.org/10.4213/tmf10206 (Mi tmf10206) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Extremality of translation-invariant Gibbs measures for the $\lambda$-model on the binary Cayley tree

F. M. Mukhamedovab, M. M. Rahmatullaevbc, M. A. Rasulovac

a Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain, Abu Dhabi, United Arab Emirates
b Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
c Namangan State University, Namangan, Uzbekistan
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DOI: https://doi.org/10.4213/tmf10206
Abstract: We consider the $\lambda$-model on the Cayley tree of order $k=2$. Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or nonextremal in the set of all Gibbs measures.
Keywords: phase transition, extremality, Gibbs measure.
Received: 20.11.2021
Revised: 22.12.2021
Published: 27.02.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 3, Pages 411–424
DOI: https://doi.org/10.1134/S0040577922030114
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. M. Mukhamedov, M. M. Rahmatullaev, M. A. Rasulova, “Extremality of translation-invariant Gibbs measures for the $\lambda$-model on the binary Cayley tree”, TMF, 210:3 (2022), 470–484; Theoret. and Math. Phys., 210:3 (2022), 411–424
Citation in format AMSBIB
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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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