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This article is cited in 1 scientific paper (total in 1 paper)
Potts model on a Cayley tree: a new class of Gibbs measures
M. M. Rahmatullaeva, Zh. D. Dekhkonovb a Romanovsky Institute of Mathematics, Academy of
Sciences of Uzbekistan, Tashkent, Uzbekistan
b Andijan State University, Andijan, Uzbekistan
Abstract:
We obtain a wide class of new Gibbs measures for the Potts model on a Cayley tree. We present a review of known Gibbs measures of the Potts model on trees, which we compare with our new measures.
Keywords:
Cayley tree, Potts model, Gibbs measure, weakly periodic Gibbs measures.
Received: 17.09.2022 Revised: 17.11.2022
Citation:
M. M. Rahmatullaev, Zh. D. Dekhkonov, “Potts model on a Cayley tree: a new class of Gibbs measures”, TMF, 215:1 (2023), 150–162; Theoret. and Math. Phys., 215:1 (2023), 586–597
Linking options:
https://www.mathnet.ru/eng/tmf10374https://doi.org/10.4213/tmf10374 https://www.mathnet.ru/eng/tmf/v215/i1/p150
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Abstract page: | 129 | Full-text PDF : | 11 | Russian version HTML: | 80 | References: | 21 | First page: | 3 |
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