Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654841 | European Journal of Combinatorics | 2007 | 15 Pages |
Abstract
For convex bodies KK with C2C2 boundary in RdRd, we explore random polytopes with vertices chosen along the boundary of KK. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Ross M. Richardson, Van H. Vu, Lei Wu,