论文标题
通过条件分布系统的随机字段描述
Description of random fields by systems of conditional distributions
论文作者
论文摘要
在本文中，我们考虑了通过边界条件参数参数参数的各种有限维（以及一分）概率分布的各种系统系统的晶格正随机场描述的直接和反面问题。在大多数情况下，我们为系统提供了必要和充分的条件，使其成为（唯一）随机场的条件分布。 dobrushin型系统的例外是仅知道足够的条件。另外，我们讨论了考虑的系统的可能应用。
In this paper, we consider the direct and inverse problems of the description of lattice positive random fields by various systems of finite-dimensional (as well as one-point) probability distributions parameterized by boundary conditions. In the majority of cases, we provide necessary and sufficient conditions for the system to be a conditional distribution of a (unique) random field. The exception is Dobrushin-type systems for which only sufficient conditions are known. Also, we discuss possible applications of the considered systems.
