Isotropic measures and stronger forms of the reverse isoperimetric inequality

DOI10.1090/tran/6857zbMath1373.52011arXiv1410.4697OpenAlexW2479961376MaRDI QIDQ5348729

Daniel Hug, Károly jun. Böröczky

Publication date: 21 August 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4697

zbMATH Keywords

volumeisoperimetric inequalitysurface areasimplexJohn ellipsoidreverse isoperimetric inequalityisotropic measuremass transportationstability resultBrascamp-Lieb inequality

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Inequalities for sums, series and integrals (26D15)

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