Isoperimetry of waists and local versus global asymptotic convex geometries
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Publication:2493467
DOI10.1215/S0012-7094-05-13111-8zbMath1103.46008arXivmath/0404500MaRDI QIDQ2493467
Publication date: 14 June 2006
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0404500
Local theory of Banach spaces (46B07) Probabilistic methods in Banach space theory (46B09) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Diameters of sections and coverings of convex bodies, Geometry of random sections of isotropic convex bodies, Application of waist inequality to entropy and mean dimension, Gaussian averages of interpolated bodies and applications to approximate reconstruction, Asymptotic formulas for the diameter of sections of symmetric convex bodies, Regular random sections of convex bodies and the random quotient-of-subspace theorem, Geometry of the 𝐿_{𝑞}-centroid bodies of an isotropic log-concave measure, Integer cells in convex sets, On the intersection of random rotations of a symmetric convex body
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