Mean Width of Random Perturbations of Random Polytopes
Functional Analysis
2013-03-25 v1 Probability
Abstract
We prove some "high probability" results on the expected value of the mean width for random perturbations of random polytopes. The random perturbations are considered for Gaussian and -stable random vectors, as well as uniform distributions on -balls and the unit sphere.
Keywords
Cite
@article{arxiv.1303.5677,
title = {Mean Width of Random Perturbations of Random Polytopes},
author = {David Alonso-Gutierrez and Joscha Prochno},
journal= {arXiv preprint arXiv:1303.5677},
year = {2013}
}