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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 179, Number 1, Pages 13–23
DOI: https://doi.org/10.4213/tmf8536 (Mi tmf8536) 		 
This article is cited in 11 scientific papers (total in 11 papers)

$p$-Adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree

O. N. Khakimov

Institute of Mathematics and Information Technologies, National Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (429 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf8536
Abstract: We study $p$-adic Gibbs quasimeasures for the Vannimenus model on the order-two Cayley tree. We especially address the problem of the boundedness of translation-invariant $p$-adic Gibbs quasimeasures. We also study periodic $p$-adic Gibbs quasimeasures.
Keywords: Cayley tree, configuration, Gibbs quasimeasure, Vannimenus model, translation-invariant measure, $p$-adic number.
Received: 18.10.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 179, Issue 1, Pages 395–404
DOI: https://doi.org/10.1007/s11232-014-0151-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. N. Khakimov, “$p$-Adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree”, TMF, 179:1 (2014), 13–23; Theoret. and Math. Phys., 179:1 (2014), 395–404
Citation in format AMSBIB
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    • This publication is cited in the following 11 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:67
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