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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 3, Pages 477–493
DOI: https://doi.org/10.4213/tmf8530 (Mi tmf8530) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree

M. M. Rakhmatullaev

Namangant State University, Uzbekistan
Full-text PDF (424 kB) Citations (26)
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DOI: https://doi.org/10.4213/tmf8530
Abstract: For the Potts model with competing interactions, we describe the set of weakly periodic ground states corresponding to index-two normal divisors of the Cayley tree group representation. We also study some weakly periodic Gibbs measures.
Keywords: Cayley tree, Gibbs measure, Potts model, weakly periodic ground state.
Received: 11.03.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 3, Pages 1236–1251
DOI: https://doi.org/10.1007/s11232-013-0103-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. M. Rakhmatullaev, “Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree”, TMF, 176:3 (2013), 477–493; Theoret. and Math. Phys., 176:3 (2013), 1236–1251
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8530
  • https://www.mathnet.ru/eng/tmf/v176/i3/p477
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:55
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