An Inscribing Model for Random Polytopes |
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Authors: | Ross M Richardson Van H Vu Lei Wu |
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Institution: | (1) Department of Mathematics, UCSD, 9500 Gilman Drive, La Jolla, CA 92093-0112, USA;(2) Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA |
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Abstract: | For convex bodies K with
boundary in ℝ
d
, 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.
The research of V.H. Vu was done under the support of A. Sloan Fellowship and an NSF Career Grant. The research of L. Wu is
done while the author was at University of California San Diego. |
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Keywords: | |
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