M-Estimates for Isotropic Convex Bodies and Their L q -Centroid Bodies

DOI10.1007/978-3-319-09477-9_13zbMath1330.52005arXiv1402.0904OpenAlexW2147550341MaRDI QIDQ5255119

Emanuel Milman, Apostolos Giannopoulos

Publication date: 11 June 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0904

zbMATH Keywords

isotropic constant\(L_q\)-centroid bodyisotropic convex bodycentrally-symmetric convex body in \(\mathbb{R}^n\)

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Asymptotic theory of convex bodies (52A23)

Related Items (8)

Geometry of random sections of isotropic convex bodies ⋮ On a version of the slicing problem for the surface area of convex bodies ⋮ On a multi-integral norm defined by weighted sums of log-concave random vectors ⋮ Norms of weighted sums of log-concave random vectors ⋮ Some questions related to the reverse Minkowski theorem ⋮ Volume difference inequalities ⋮ Heat flow and quantitative differentiation ⋮ Asymptotic shape of the convex hull of isotropic log-concave random vectors

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