Non Periodic p-Adic Generalized Gibbs Measure for Ising Model

Resumo

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.