转移概率最优可测耦合的存在性

On the Existence of the Optimal Measurable Coupling of Transition Probablity

转移概率最优可测耦合的存在性是耦合理论中的基本问题之一,本文运用随机线性规划和s空间中的技巧,在较一般的条件下,给出转移概率最优可测耦合存在性的构造性证明.

In this paper, by the method of stochastic linear programming and some skill in s-space, we give a proof for the existence of the optimal measurable coupling of transition probability.