Random inscribing polytopes |
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| Authors: | Ross M Richardson Van H Vu Lei Wu |
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| Institution: | aDepartment of Mathematics, UCSD, 9500 Gilman Drive, La Jolla, CA 92093-0112, United States;bDepartment of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, United States |
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| Abstract: | For convex bodies K with  boundary in  , 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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