DMTCS Proceedings, 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

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DMTCS Conference vol AE (2005), pp. 263-266


2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

Stefan Felsner (ed.)

DMTCS Conference Volume AE (2005), pp. 263-266

author: Ross M. Richardson, Van H. Vu and Lei Wu
title: Random Inscribing Polytopes
keywords: random polytope, inscribing, boundary, volume, variance, central limit theorem
abstract: For convex bodies
boundary in
, we provide results on the volume of random polytopes with vertices chosen along the boundary of
which we call random inscribing polytopes. In particular, we prove results concerning the variance and higher moments of the volume, as well as show that the random inscribing polytopes generated by the Poisson process satisfy central limit theorem.
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reference: Ross M. Richardson and Van H. Vu and Lei Wu (2005), Random Inscribing Polytopes, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 263-266
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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