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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf8536https://doi.org/10.4213/tmf8536 https://www.mathnet.ru/eng/tmf/v179/i1/p13
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Abstract page: | 320 | Full-text PDF : | 160 | References: | 64 | First page: | 19 |
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