Sharp stability of Brunn-Minkowski for homothetic regions

DOI10.4171/JEMS/1185zbMath1501.52007arXiv1907.13011OpenAlexW4206497296MaRDI QIDQ2098196

Peter van Hintum, Marius Tiba, Hunter Spink

Publication date: 17 November 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13011

zbMATH Keywords

stabilityinverse problemsBrunn-Minkowskisemisum

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (3)

Sets in \(\mathbb{Z}^k\) with doubling \(2^k + \delta\) are near convex progressions ⋮ An overview on extremals and critical points of the Sobolev inequality in convex cones ⋮ Sharp quantitative stability of the planar Brunn-Minkowski inequality

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• Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality
• A note on coverings
• A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces
• Stability for the Brunn-Minkowski and Riesz Rearrangement Inequalities, with Applications to Gaussian Concentration and Finite Range Non-local Isoperimetry

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