Rapid Steiner Symmetrization of Most of a Convex Body and the Slicing Problem

DOI10.1017/S0963548305006899zbMath1084.52003MaRDI QIDQ5704393

Bo'az Klartag, Vitali D. Milman

Publication date: 14 November 2005

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

zbMATH Keywords

ellipsoidisotropic constantSteiner symmetrizationslicing problem

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Isomorphic theory (including renorming) of Banach spaces (46B03) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (11)

The Slicing Problem by Bourgain ⋮ On a version of the slicing problem for the surface area of convex bodies ⋮ A Chapter About Asymptotic Geometric Analysis: Isomorphic Position of Centrally Symmetric Convex Bodies ⋮ Steiner symmetrization using a finite set of directions ⋮ Random Steiner symmetrizations of sets and functions ⋮ A remark on the slicing problem ⋮ An isomorphic version of the slicing problem ⋮ Small ball probability estimates, \(\psi_2\)-behavior and the hyperplane conjecture ⋮ Steiner symmetrization \((n-1)\) times is sufficient to transform an ellipsoid to a ball in \(\mathbb{R}^n\) ⋮ A countable set of directions is sufficient for Steiner symmetrization ⋮ Geometry of the 𝐿_{𝑞}-centroid bodies of an isotropic log-concave measure

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