On $G_2$-periodic quasi Gibbs measures of $p$-adic Potts model on a Cayley tree

In the talk we discuss $p$-adic quasi Gibbs measure for the Potts model. We give $G_2$-periodic $p$-adic quasi Gibbs measures for $p$-adic Potts model on a Cayley tree of order two. Moreover, we show the existence of a phase transition for some prime $p$.