On the intersection of random rotations of a symmetric convex body

DOI10.1017/S0305004114000115zbMath1300.52003MaRDI QIDQ2877359

Silouanos Brazitikos, Pantelis Stavrakakis

Publication date: 22 August 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

random rotationsymmetric convex body

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Geometry of random sections of isotropic convex bodies

Cites Work

• Asymptotic formulas for the diameter of sections of symmetric convex bodies
• Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures
• Concentration of mass on convex bodies
• On convex perturbations with a bounded isotropic constant
• Small ball probability and Dvoretzky's Theorem
• Power-law estimates for the central limit theorem for convex sets
• Concentration in a thin Euclidean shell for log-concave measures
• Convex measures on locally convex spaces
• Global versus local asymptotic theories of finite-dimensional normed spaces
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
• Diameters of sections and coverings of convex bodies
• A stability result for mean width of \(L_{p}\)-centroid bodies
• A central limit theorem for convex sets
• Isoperimetry of waists and local versus global asymptotic convex geometries
• Small ball probability estimates in terms of width
• Inner Regularization of Log-Concave Measures and Small-Ball Estimates

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