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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf8603https://doi.org/10.4213/tmf8603 https://www.mathnet.ru/eng/tmf/v177/i1/p68
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Abstract page: | 366 | Full-text PDF : | 170 | References: | 50 | First page: | 15 |
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