Abstract

We develop a combinatorial approach to the description of lattice random fields with general (Polish) state space. This approach based on so-called P-functions, which can be interpreted as a system of limiting correlation functions. We suggest a method of construction of P-functions, which can be applied in the theory of Gibbs random fields.

中文翻译：

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描述随机场的组合方法

摘要

我们开发了一种组合方法来描述具有一般（波兰）状态空间的晶格随机场。这种方法基于所谓的 P 函数，可以将其解释为限制相关函数的系统。我们提出了一种构建 P 函数的方法，该方法可以应用于吉布斯随机场理论。