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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 177, Number 1, Pages 68–82
DOI: https://doi.org/10.4213/tmf8603 (Mi tmf8603) 		 
This article is cited in 7 scientific papers (total in 7 papers)

$p$-Adic Gibbs measures for the hard core model with three states on the Cayley tree

O. N. Khakimov

Institute for Mathematics and Information Technologies, Academy of Sciences of Uzbekistan Republic, Tashkent, Uzbekistan
Full-text PDF (459 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf8603
Abstract: We study $p$-adic hard core models with three states on the Cayley tree. It is known that there are four types of such models. We find conditions that must be imposed on the order $k$ of the Cayley tree and on the prime $p$ for a translation-invariant $p$-adic Gibbs measure to exist.
Keywords: Cayley tree, configuration, Gibbs measure, hard core $G$-model, translation-invariant measure, $p$-adic number.
Received: 27.03.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 177, Issue 1, Pages 1339–1351
DOI: https://doi.org/10.1007/s11232-013-0107-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. N. Khakimov, “$p$-Adic Gibbs measures for the hard core model with three states on the Cayley tree”, TMF, 177:1 (2013), 68–82; Theoret. and Math. Phys., 177:1 (2013), 1339–1351
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v177/i1/p68
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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