Random Symmetrizations of Convex Bodies
2014 ◽
Vol 46
(03)
◽
pp. 603-621
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Keyword(s):
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.
2014 ◽
Vol 46
(3)
◽
pp. 603-621
◽
Keyword(s):
1978 ◽
Vol 10
(01)
◽
pp. 155-171
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2010 ◽
Vol 47
(2)
◽
pp. 513-525
◽
2010 ◽
Vol 47
(02)
◽
pp. 513-525
◽
Keyword(s):
1986 ◽
Vol 149
(8)
◽
pp. 709
◽