论文标题
最小的关节熵和订单的耦合
Minimal Joint Entropy and Order-Preserving Couplings
论文作者
论文摘要
本文重点介绍了与给定边缘的联合分布的香农熵的极值问题。事实证明，最小值耦合必须具有订单的固定耦合，而最大渗透耦合与独立的耦合相吻合。请注意，从这个意义上讲，我们将熵视为系统障碍的量度。
This paper focuses on the extreme-value problem for Shannon entropy of the joint distribution with given marginals. It is proved that the minimum-entropy coupling must be of order-preserving, while the maximum-entropy coupling coincides with the independent one. Note that in this sense, we interpret entropy as a measure of system disorder.
