On $$G_2$$-Periodic Quasi Gibbs Measures of $$p$$-Adic Potts Model on a Cayley Tree

Abstract

In the present paper we study $$G_2$$ -periodic $$p$$ -adic quasi Gibbs measures for $$p$$ -adic Potts model on a Cayley tree of order two. In the case $$q=3$$ , we prove the occurrence of a phase transition and construct ART quasi Gibbs measures for $$p$$ -adic Potts model on a Cayley tree of order $$k\geq3$$ .

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DOI

10.1134/s207004662104004x

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