Uniform almost sub-Gaussian estimates for linear functionals on convex sets

DOI10.1090/S1061-0022-07-00987-9zbMath1140.60010MaRDI QIDQ5440797

Bo'az Klartag

Publication date: 5 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Brunn-Minkowski inequalityConvex bodylogarithmic Laplace transform

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (17)

The Slicing Problem by Bourgain ⋮ The KLS isoperimetric conjecture for generalized Orlicz balls ⋮ Geometry of random sections of isotropic convex bodies ⋮ Power-law estimates for the central limit theorem for convex sets ⋮ Variance estimates and almost Euclidean structure ⋮ Pointwise estimates for marginals of convex bodies ⋮ A central limit theorem for convex sets ⋮ Random approximation and the vertex index of convex bodies ⋮ On nearly radial marginals of high-dimensional probability measures ⋮ Approximating \(L_p\) unit balls via random sampling ⋮ Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions ⋮ On the Gaussian behavior of marginals and the mean width of random polytopes ⋮ Stein kernels and moment maps ⋮ Some remarks about the maximal perimeter of convex sets with respect to probability measures ⋮ Logarithmically-Concave Moment Measures I ⋮ Moment measures ⋮ A note on subgaussian estimates for linear functionals on convex bodies

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