Moment inequalities and central limit properties of isotropic convex bodies

DOI10.1007/s002090100359zbMath1011.52003OpenAlexW2052819196MaRDI QIDQ697353

Hendrik Vogt, Peter Hinow, Ulrich Brehm, Juergen Voigt

Publication date: 17 September 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002090100359

zbMATH Keywords

logarithmically concave functionsisotropic convex body\(L_\infty\)-convergence\(L_1\)-convergencecentral limit propertyconcentration of mass propertyexpanded join

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) (L^p)-limit theorems (60F25)

Related Items (6)

Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls ⋮ Thin-shell concentration for convex measures ⋮ A central limit theorem for convex sets ⋮ The central limit problem for random vectors with symmetries ⋮ Concentration of normalized sums and a central limit theorem for noncorrelated random variables ⋮ On Gaussian marginals of uniformly convex bodies

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