Article

$$p$$-Adic Quasi Gibbs Measures for the SOS Model on the Cayley Tree of Order Two

M. M. RahmatullaevNamangan State University, 316, Uychi str., Namangan, 160100, UzbekistanОлимхон АхмедовFerghana State University, 19, Murabbiylar str., Ferghana, 150100, UzbekistanAkbarkhuja TukhtabaevNamangan Engineering-Construction Institute, 12, Islam Karimov str., Namangan, 160103, Uzbekistan

P-Adic Numbers Ultrametric Analysis and Applicationsjournal2025en

ABI

Abstract

In present paper we study $$p$$ -adic quasi Gibbs measures for the SOS model on the Cayley tree of order two. Using the boundedness of translation-invariant and $$G_k^{(2)}$$ -periodic $$p$$ -adic quasi Gibbs measures, the existence of a phase transition is proven.

Topics

advanced mathematical theories Topological and Geometric Data Analysis Mathematical Dynamics and Fractals

Identifiers

DOI: 10.1134/s2070046625020050

Citations and references

Cited by 3 43 references

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