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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 1, Pages 134–141
DOI: https://doi.org/10.4213/tmf9588 (Mi tmf9588) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Periodic Gibbs measures for the Potts–SOS model on a Cayley tree

M. A. Rasulova

Namangan State University, Uzbekistan
Full-text PDF (409 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf9588
Abstract: We describe periodic Gibbs measures for the Potts–SOS model on a Cayley tree of order $k\ge1$, i.e. a characterization of such measures with respect to any normal subgroup of finite index of the group representation of the Cayley tree.
Keywords: Cayley tree, configuration, Potts–SOS model, periodic Gibbs measure.
Received: 05.05.2018
Revised: 05.05.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 1, Pages 586–592
DOI: https://doi.org/10.1134/S0040577919040081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Rasulova, “Periodic Gibbs measures for the Potts–SOS model on a Cayley tree”, TMF, 199:1 (2019), 134–141; Theoret. and Math. Phys., 199:1 (2019), 586–592
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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