Stability results for the volume of random simplices

DOI10.1353/ajm.2014.0030zbMath1301.52016arXiv1005.5024OpenAlexW1983644037MaRDI QIDQ2879436

Gergely Ambrus, Károly jun. Böröczky

Publication date: 1 September 2014

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5024

zbMATH Keywords

stabilityconvex bodySteiner symmetrizationPetty projection inequalitySylvester's problemrandom simplex

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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Convergence of symmetrization processes ⋮ The isotropy constant and boundary properties of convex bodies

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