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Random Symmetrizations of Convex Bodies

  • D. Coupier (a1) and Yu. Davydov (a1)

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 with c > 0 for Steiner.

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Copyright

Corresponding author

Postal address: Laboratoire Paul Painlevé, UMR CNRS 8524, Université Lille 1, 59 655 Villeneuve d'Ascq Cédex, France.
∗∗ Email address: david.coupier@math.univ-lille1.fr

References

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Random Symmetrizations of Convex Bodies

  • D. Coupier (a1) and Yu. Davydov (a1)

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