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

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作者
O. N. Khakimov
机构
[1] National Academy of Sciences of Uzbekistan,Institute of Mathematics and Information Technologies
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关键词
Cayley tree; configuration; Gibbs quasimeasure; Vannimenus model; translation-invariant measure; -adic number;
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学科分类号
摘要
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.
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页码:395 / 404
页数:9
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