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ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

We consider a nearest-neighbor inhomogeneous p-adic Potts (with q≥2 spin values) model on the Cayley tree of order k≥1. The inhomogeneity means that the interaction J xy couplings depend on nearest-neighbors points x, y of the Cayley tree. We study (p-adic) Gibbs measures of the model. We show that (i) …