Random symmetrizations of measurable sets

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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.
15 pages, submitted

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Probability, Functional Analysis, 60D05 (Primary) 52A40 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/218385

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.0462
 http://arxiv.org/abs/0902.0462

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arXiv