Random symmetrizations of measurable sets
Probability
2009-02-04 v1 Functional Analysis
Abstract
In this paper we prove almost sure convergence to the ball, in the Nikodym metric, of sequences of random Steiner symmetrizations of bounded Caccioppoli and bounded measurable sets, paralleling a result due to Mani-Levitska concerning convex bodies.
Keywords
Cite
@article{arxiv.0902.0462,
title = {Random symmetrizations of measurable sets},
author = {Aljosa Volcic},
journal= {arXiv preprint arXiv:0902.0462},
year = {2009}
}
Comments
15 pages, submitted