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On Ground States for the SOS Model with Competing Interactions

M. M. RahmatullaevInstitute of Mathematics Academy of Sciences of Uzbekistan Toshkent, Uzbekistan Namangan State University Namangan, Uzbekistan
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Abstract

We study periodic and weakly periodic ground states for the SOS model with competing interactions on the Cayley tree of order two and three. Further, we study non periodic ground states for the SOS model with competing interactions on the Cayley tree of order two

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