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arXiv:1108.5500 [math.PR]AbstractReferencesReviewsResources

Rate of convergence of random polarizations

Almut Burchard

Published 2011-08-28Version 1

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.

Comments: 5 pages
Categories: math.PR, math.FA
Subjects: 60D05, 26D15, 28A75, 52A22
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