Periodic points of a $p$-adic operator and their $p$-adic Gibbs measures

U. A. Rozikov, I. A. Sattarov, A. M. Tukhtabaev

In this paper we investigate generalized Gibbs measure (GGM) for $p$-adic Hard-Core(HC) model with a countable set of spin values on a Cayley tree of order $k\ge 2$. This model is…