Rate of convergence of random polarizations
Probability
2011-08-30 v1 Functional Analysis
Abstract
After n random polarizations of Borel set on a sphere, its expected symmetric difference from a polar cap is bounded by C/n, where the constant depends on the dimension [arXiv:1104.4103]. We show here that this power law is best possible, and that the constant grows at least linearly with the dimension.
Cite
@article{arxiv.1108.5500,
title = {Rate of convergence of random polarizations},
author = {Almut Burchard},
journal= {arXiv preprint arXiv:1108.5500},
year = {2011}
}
Comments
5 pages