The duality of the volumes and the numbers of vertices of random polytopes

HIGHLIGHTS

  • who: Random polytope Convex hull and colleagues from the Department of Mathematics, Salzburg University, Hellbrunner Strasse, Salzburg, Austria have published the research work: The Duality of the Volumes and the Numbers of Vertices of Random Polytopes, in the Journal: (JOURNAL)

SUMMARY

    Write Kd for the set of all convex bodies (convex compact sets with non-empty interiors) in Rd. EVn /vol K is the probability that a further point chosen at random falls into the convex hull of the n points, which means that it is not a vertex of the convex hull . . .

     

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