Convex geometry and waist inequalities
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Publication:521607
DOI10.1007/s00039-017-0397-8zbMath1383.52003arXiv1608.04121OpenAlexW2963981982MaRDI QIDQ521607
Publication date: 11 April 2017
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.04121
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (7)
Equipartitions and Mahler volumes of symmetric convex bodies ⋮ Application of waist inequality to entropy and mean dimension ⋮ Gromov’s Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures ⋮ Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets ⋮ Sweepouts of closed Riemannian manifolds ⋮ Leaves decompositions in Euclidean spaces ⋮ Lower and upper bounds for the waists of different spaces
Cites Work
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- Filling Riemannian manifolds
- A geometric inequality with applications to linear forms
- Ellipsoids of maximal volume in convex bodies
- Isoperimetry of waists and concentration of maps
- Isoperimetric problems for convex bodies and a localization lemma
- An Inequality for Sections and Projections of a Convex Set
- ON GROMOV'S WAIST OF THE SPHERE THEOREM
- Random walks in a convex body and an improved volume algorithm
- Bounding the Norm of a Log-Concave Vector Via Thin-Shell Estimates
- On Isotropicity with Respect to a Measure
- Asymptotic Geometric Analysis, Part I
- Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
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