论文标题
几个多维高斯随机步行的凸面
Convex hulls of several multidimensional Gaussian random walks
论文作者
论文摘要
我们从高斯持久性概率方面得出了预期体积和预期的凸壳凸面的预期公式和预期的凸面壳体数量的明确公式。特殊案例包括有关单个高斯随机步行的凸壳的已知结果以及带有或没有原点的$ d $维二维高斯层。
We derive explicit formulae for the expected volume and the expected number of facets of the convex hull of several multidimensional Gaussian random walks in terms of the Gaussian persistence probabilities. Special cases include the already known results about the convex hull of a single Gaussian random walk and the $d$-dimensional Gaussian polytope with or without the origin.
