发表机构
Pennsylvania State University（宾夕法尼亚州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文形式化中性测度的随机性检验，证明其存在性，并应用于格模型吉布斯测度的存在性及与中性测度的关联。
AI 中文摘要
我们详细讨论了中性测度，即那些据信能生成康托空间中任何实数的测度。我们直观地构建了经典随机性概念，并利用连续半测度的语言证明了中性测度的存在性。最后，我们构造了一些特定的随机性检验，这些检验使我们能够对中性测度施加期望的性质。作为应用，我们证明了格模型上一大类有限范围哈密顿量的吉布斯测度的存在性，并确立了它们与中性测度之间的关系。
英文摘要
We discuss in detail Neutral Measures, which are measures which believably generate any real in Cantor space. We intuitively build up the classical notions of randomness, and show that neutral measures do exist, using the language of continuous semimeasures. Finally, we construct some specific randomness tests which allow us to enforce de- sirable properties on neutral measures. As an application, we show the existence of Gibbs measures for a large class of finite range Hamilto- nians on lattice models, and establish their relationship with neutral measures.
Comments32 Pages, 0 figures
