Random ball-polyhedra and inequalities for intrinsic volumes

DOI10.1007/s00605-016-0961-6zbMath1367.52006arXiv1510.07292OpenAlexW2963903424MaRDI QIDQ515643

Grigoris Paouris, Peter Pivovarov

Publication date: 16 March 2017

Published in: Proceedings of the American Mathematical Society, Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07292

zbMATH Keywords

convex bodymixed volumesSteiner symmetrizationMinkowski symmetrizationWulff shapemean widthintrinsic volumesgeneralized Urysohn inequalityintersections of congruent ballsrearrangement inequalitieslinear contractionGroemer's convexity condition

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (12)

Convergence of symmetrization processes ⋮ On the intrinsic volumes of intersections of congruent balls ⋮ Entropic exercises around the Kneser–Poulsen conjecture ⋮ RANDOMIZED URYSOHN–TYPE INEQUALITIES ⋮ Unnamed Item ⋮ A probabilistic take on isoperimetric-type inequalities ⋮ Small-ball probabilities for the volume of random convex sets ⋮ Variance estimates for random disc-polygons in smooth convex discs ⋮ The minimal volume of simplices containing a convex body ⋮ An asymmetric Orlicz centroid inequality for probability measures ⋮ The Kneser-Poulsen conjecture for special contractions ⋮ Volumetric bounds for intersections of congruent balls in Euclidean spaces

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