Random Polytopes and Affine Surface Area
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Carsten SchΓΌtt
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Article
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2006
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John Wiley and Sons
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English
β 686 KB
## Abstract Let __K__ be a convex body in R__^d^__. A random polytope is the convex hull [x~1~, β¦, __x~n~__] of finitely many points chosen at random in __K__. IE(__K, n__) is the expectation of the volume of a random polytope of __n__ randomly chosen points. I. BΓ‘rΓ‘ny showed that we have for conve