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On \(G_2\)-Periodic Quasi Gibbs Measures of \(p\)-Adic Potts Model on a Cayley Tree

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Abstract

In the present paper we study \(G_2\)-periodic \(p\)-adic quasi Gibbs measures for \(p\)-adic Potts model on a Cayley tree of order two. In the case \(q=3\), we prove the occurrence of a phase transition and construct ART quasi Gibbs measures for \(p\)-adic Potts model on a Cayley tree of order \(k\geq3\).

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  1. Namangan State University, P.O. Box, 160136, 316 Uychi street, Namangan, Uzbekistan

    Akbarkhuja Tukhtabaev

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  1. Akbarkhuja Tukhtabaev
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Tukhtabaev, A. On \(G_2\)-Periodic Quasi Gibbs Measures of \(p\)-Adic Potts Model on a Cayley Tree. P-Adic Num Ultrametr Anal Appl 13, 291–307 (2021). https://doi.org/10.1134/S207004662104004X

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  • DOI: https://doi.org/10.1134/S207004662104004X

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