论文标题
非凸Lorentz球的凸子集
Convex subsets of non-convex Lorentz balls
论文作者
论文摘要
许多恒星物体具有凸的子集，具有大致相同的高斯度量（补体）。受到这种现象的启发，以及与Lorentz空间的随机Dvoretzky定理相关的，我们通过通过凸子集近似其子级集合来得出了高斯随机矢量某些功能的分布的界限。
Many star bodies have convex subsets with approximately the same Gaussian measure (of the complement). Inspired by this phenomenon, and in connection with the randomized Dvoretzky theorem for Lorentz spaces, we derive bounds on the distribution of certain functions of a Gaussian random vector by approximating their sub-level sets by convex subsets.
