Estimating Support Functions of Random Polytopes via Orlicz Norms
Functional Analysis
2012-05-10 v1
Abstract
We study the expected value of support functions of random polytopes in a certain direction, where the random polytope is given by independent random vectors uniformly distributed in an isotropic convex body. All results are obtained by an utterly novel approach, using probabilistic estimates in connection with Orlicz norms that were not used in this connection before.
Keywords
Cite
@article{arxiv.1205.2023,
title = {Estimating Support Functions of Random Polytopes via Orlicz Norms},
author = {David Alonso-Gutierrez and Joscha Prochno},
journal= {arXiv preprint arXiv:1205.2023},
year = {2012}
}