Recent Results on Random Polytopes
Recent Results on Random Polytopes
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随机多胞体的最新结果
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
R. Schneider
中科院分区：
文献类型：
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作者：
R. Schneider
本文综述了d维欧氏空间中随机多面体的渐近性质。随机多面体的生成有三种方法：n个随机点的凸包，固定的高维多面体到随机d维子空间的投影，随机闭半空间的交.渐近结果描述的问题类型在每种情况下是不同的。
This is a survey over recent asymptotic results on random polytopes in d-dimensional Euclidean space. Three ways of generating a random polytope are considered: convex hulls of finitely many random points, projections of a fixed highdimensional polytope into a random d-dimensional subspace, intersections of random closed halfspaces. The type of problems for which asymptotic results are described is different in each case.