A note on subgaussian estimates for linear functionals on convex bodies

DOI10.1090/S0002-9939-07-08778-3zbMath1120.52003arXivmath/0604299MaRDI QIDQ3438125

Grigoris Paouris, Alain Pajor, Apostolos Giannopoulos

Publication date: 15 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0604299

zbMATH Keywords

concentration of volumeisotropic convex bodies\(L_q\)-centroid bodiestail estimates for linear functionals

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

The Slicing Problem by Bourgain, ON THE EXISTENCE OF SUPERGAUSSIAN DIRECTIONS ON CONVEX BODIES, Geometry of random sections of isotropic convex bodies, The Orlicz centroid inequality for star bodies, Random approximation and the vertex index of convex bodies, On the volume of caps and bounding the mean-width of an isotropic convex body, On nearly radial marginals of high-dimensional probability measures, The even Orlicz Minkowski problem, Orlicz projection bodies

Cites Work

• Concentration of mass on isotropic convex bodies
• On convex perturbations with a bounded isotropic constant
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Blaschke-Santaló inequalities
• The \(L^p\)-Busemann-Petty centroid inequality
• \(L_ p\) affine isoperimetric inequalities.
• Logarithmically concave functions and sections of convex sets in $R^{n}$
• On the ψ₂-behaviour of linear functionals on isotropic convex bodies
• Uniform almost sub-Gaussian estimates for linear functionals on convex sets
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