5n Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball
Functional Analysis
2007-05-23 v1 Metric Geometry
Abstract
This paper proves that for every convex body in R^n there exist 5n-4 Minkowski symmetrizations, which transform the body into an approximate Euclidean ball. This result complements the sharp c n log n upper estimate by J. Bourgain, J. Lindenstrauss and V.D. Milman, of the number of random Minkowski symmetrizations sufficient for approaching an approximate Euclidean ball.
Cite
@article{arxiv.math/0204212,
title = {5n Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball},
author = {Bo'az Klartag},
journal= {arXiv preprint arXiv:math/0204212},
year = {2007}
}