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.

中文翻译：

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Ising模型的非周期p-Adic广义Gibbs测度

在本文中，我们的目标是研究一种新型的 p-adic 广义 Gibbs 测度。我们为 Ising 模型引入了两类 p-adic 广义 Gibbs 测度：p-adic (k0)-平移不变量和 (k0)-周期广义 Gibbs 测度。证明如果 k0 = 2,3 则引入的类不为空。