Rate of convergence of random polarizations

Published 28 Aug 2011 in math.PR and math.FA | (1108.5500v1)

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.

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Authors (1)

Almut Burchard

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