journal article
oaidoi:10.1016/j.ejc.2007.04.001

Random inscribing polytopes

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Publication date
30 November 2007
Publisher
Elsevier Ltd.
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    Abstract

    AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen along the boundary of K. In particular, we determine asymptotic properties of the volume of these random polytopes. We provide results concerning the variance and higher moments of this functional, as well as an analogous central limit theorem

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