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- W2110320011 abstract "We study the question of whether every centred convex body K of volume 1 in ℝ n has “supergaussian directions”, which means θ ∈ S n −1 such that for all , where c >0 is an absolute constant. We verify that a “random” direction is indeed supergaussian for isotropic convex bodies that satisfy the hyperplane conjecture. On the other hand, we show that if, for all isotropic convex bodies, a random direction is supergaussian then the hyperplane conjecture follows." @default.
- W2110320011 created "2016-06-24" @default.
- W2110320011 creator A5057513793 @default.
- W2110320011 date "2011-11-24" @default.
- W2110320011 modified "2023-09-25" @default.
- W2110320011 title "ON THE EXISTENCE OF SUPERGAUSSIAN DIRECTIONS ON CONVEX BODIES" @default.
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- W2110320011 doi "https://doi.org/10.1112/s0025579311006085" @default.
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