论文标题
随机多型的渐近预期$ t $函数，应用到$ l_p $表面区域
Asymptotic expected $T$-functionals of random polytopes with applications to $L_p$ surface areas
论文作者
论文摘要
根据任意的持续密度，从欧几里得单位球体中从欧几里得单位球体中采样的独立和相同分布的随机点的凸壳的预期$ T $功能证明了一个渐近公式。作为应用程序，讨论了随机多型的近似，以$ l_p $表面积差异来进行。
An asymptotic formula is proved for the expected $T$-functional of the convex hull of independent and identically distributed random points sampled from the Euclidean unit sphere in $\mathbb{R}^n$ according to an arbitrary positive continuous density. As an application, the approximation of the sphere by random polytopes in terms of $L_p$ surface area differences is discussed.
