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arXiv · 1402.6150

Description of all translation-invariant $p$-adic Gibbs measures for the Potts model on a Cayley tree

U. A. Rozikov·O. N. Khakimov
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Abstract

Recently it was proved that usual (real) Potts model on a Cayley tree has up to $2^q-1$ translation-invariant Gibbs measures. This paper is devoted to description of translation- invariant $p$-adic Gibbs measures (TIpGMs) of the $p$-adic Potts model. In particular, for the Cayley tree of order two we give exact number of such measures. Mereover we give criterion of boundedness of TIpGMs.

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U. A. Rozikov, O. N. Khakimov. 2014-02-25. Description of all translation-invariant $p$-adic Gibbs measures for the Potts model on a Cayley tree. https://arxiv.org/abs/1402.6150

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