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Functional equations for the Potts model with competing interactions on a Cayley tree

G. I. BotirovInstitute of Mathematics, National University of Uzbekistan
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In this paper, we consider an infinite system of functional equations for the Potts model with competing interactions of radius r = 2 and countable spin values 0, 1, ..., and non-zero-filled, on a Cayley tree of order two. We describe conditions on hx guaranteeing compatibility of distributions (n) (n).

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