论文标题
确定过程的CS分解和条件负相关不平等
The CS decomposition and conditional negative correlation inequalities for determinantal processes
论文作者
论文摘要
对于形式的条件过程，$（ϕ \ vert a_ {i} \ not \ subset ϕ）$，其中$ ϕ $是确定过程，我们获得了新的负相关不平等。我们的方法依赖于基本离散确定过程的基本几何结构，它通过使用主要向量和角度的一对子空间以及经典的CS分解来使用一对子空间的规范表示。
For a conditional process of the form $(ϕ\vert A_{i} \not\subset ϕ)$ where $ϕ$ is a determinantal process we obtain a new negative correlation inequalities. Our approach relies upon the underlying geometric structure of the elementary discrete determinantal processes by using the canonical representation of a pair of subspaces in terms of principal vectors and angles, as well as the classical CS decomposition.
