This is an announcement for the paper "Rate of convergence of random polarizations" by Almut Burchard.

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.

Archive classification: math.PR math.FA

Remarks: 5 pages

Submitted from: almut@math.toronto.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1108.5500

or

http://arXiv.org/abs/1108.5500