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This article is cited in 1 scientific paper (total in 1 paper)
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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf10206https://doi.org/10.4213/tmf10206 https://www.mathnet.ru/eng/tmf/v210/i3/p470
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Abstract page: | 160 | Full-text PDF : | 13 | References: | 47 | First page: | 6 |
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