Non Periodic p-Adic Generalized Gibbs Measure for Ising Model

Abstract

In this paper we are aiming to study a new type of p-adic generalized Gibbs measures. We introduce two classes of p-adic generalized Gibbs measures for Ising model: p-adic (k0)-translational invariant and (k0)-periodic generalized Gibbs measures. It is proven that if k0 = 2,3 then the introduced classes are not empty.