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September 2014 Random symmetrizations of convex bodies
D. Coupier, Yu. Davydov
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Adv. in Appl. Probab. 46(3): 603-621 (September 2014). DOI: 10.1239/aap/1409319551

Abstract

In this paper we investigate the asymptotic behavior of sequences of successive Steiner and Minkowski symmetrizations. We state an equivalence result between the convergences of those sequences for Minkowski and Steiner symmetrizations. Moreover, in the case of independent (and not necessarily identically distributed) directions, we prove the almost-sure convergence of successive symmetrizations at exponential rate for Minkowski, and at rate e-cn with c > 0 for Steiner.

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D. Coupier. Yu. Davydov. "Random symmetrizations of convex bodies." Adv. in Appl. Probab. 46 (3) 603 - 621, September 2014. https://doi.org/10.1239/aap/1409319551

Information

Published: September 2014
First available in Project Euclid: 29 August 2014

zbMATH: 1319.60012
MathSciNet: MR3254333
Digital Object Identifier: 10.1239/aap/1409319551

Subjects:
Primary: 60D05
Secondary: 52A22

Rights: Copyright © 2014 Applied Probability Trust

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Vol.46 • No. 3 • September 2014
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