$$p$$-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
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Annotatsiya
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.
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