On the Convex Hull of Uniform Random Points in a Simple d-Polytope.
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J.A. Wieacker, F. Affentranger (1991)
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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 high-dimensional 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.
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