Enviar artigo por via de e-mail Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree
- Autores: Rozikov U.A.1, Khakimov R.M.2, Khaidarov F.K.3
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Afiliações:
- Romanovskii Institute of Mathematics
- Namangan State University
- Mirzo Ulugbek National University of Uzbekistan
- Edição: Volume 196, Nº 1 (2018)
- Páginas: 1043-1058
- Seção: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171852
- DOI: https://doi.org/10.1134/S0040577918070103
- ID: 171852
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Resumo
We study translation-invariant Gibbs measures for the ferromagnetic Potts model with q states on the Cayley tree of order k and generalize some earlier results. We consider the question of the extremality of the known translation-invariant Gibbs measures for the Potts model with three states on the Cayley tree of order k = 3.
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Sobre autores
U. Rozikov
Romanovskii Institute of Mathematics
Autor responsável pela correspondência
Email: rozikovu@yandex.ru
Uzbequistão, Tashkent
R. Khakimov
Namangan State University
Email: rozikovu@yandex.ru
Uzbequistão, Namangan
F. Khaidarov
Mirzo Ulugbek National University of Uzbekistan
Email: rozikovu@yandex.ru
Uzbequistão, Tashkent
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