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Weakly periodic Gibbs measures for the Potts-SOS model on a Cayley tree of order two

M. A. RasulovaV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, University street 9, 100174, Tashkent, Uzbekistan
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Abstract

In this paper we consider Potts-SOS model, with spin values 0, 1, 2, on the Cayley tree of order two. We study the weakly periodic Gibbs measures for this model, with respect to normal subgroup of two index of the group representation of a Cayley tree.

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