On the intersection of random rotations of a symmetric convex body
2014 ◽
Vol 157
(1)
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pp. 13-30
Keyword(s):
AbstractLet C be a symmetric convex body of volume 1 in ${\mathbb R}^n$. We provide general estimates for the volume and the radius of C ∩ U(C) where U is a random orthogonal transformation of ${\mathbb R}^n$. In particular, we consider the case where C is in the isotropic position or C is the volume normalized Lq-centroid body Zq(μ) of an isotropic log-concave measure μ on ${\mathbb R}^n$.
2007 ◽
Vol 38
(2)
◽
pp. 159-165
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1975 ◽
Vol 77
(3)
◽
pp. 529-546
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1972 ◽
Vol 14
(3)
◽
pp. 336-351
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2006 ◽
Vol 49
(2)
◽
pp. 185-195
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Keyword(s):