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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 1, Pages 24–35
DOI: https://doi.org/10.4213/tmf8599 (Mi tmf8599) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Localization of translation-invariant Gibbs measures for the Potts and “solid-on-solid” models on a Cayley tree

R. M. Khakimov

Namangam State University
Full-text PDF (414 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8599
Abstract: We study Potts and “solid-on-solid” models with $q\ge2$ states on the Cayley tree of order $k\ge1$. For any values of the parameter $q$ in the Potts model and $q\le6$ in the “solid-on-solid” model, we find sets containing all translation-invariant Gibbs measures.
Keywords: Cayley tree, configuration, Gibbs measure, Potts model, “solid-on-solid” model, periodic measure, translation-invariant measure.
Received: 02.10.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 1, Pages 405–415
DOI: https://doi.org/10.1007/s11232-014-0152-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. M. Khakimov, “Localization of translation-invariant Gibbs measures for the Potts and “solid-on-solid” models on a Cayley tree”, TMF, 179:1 (2014), 24–35; Theoret. and Math. Phys., 179:1 (2014), 405–415
Citation in format AMSBIB
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    • This publication is cited in the following 3 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:58
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