Stability for the Brunn-Minkowski and Riesz Rearrangement Inequalities, with Applications to Gaussian Concentration and Finite Range Non-local Isoperimetry

DOI10.4153/CJM-2016-026-9zbMath1379.26021arXiv1507.03454OpenAlexW2962821673MaRDI QIDQ5371118

Eric Anders Carlen, Francesco Maggi

Publication date: 24 October 2017

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

Full work available at URL: https://arxiv.org/abs/1507.03454

zbMATH Keywords

Brunn-Minkowski inequalityGaussian concentrationGates-Penrose-Lebowitz energyRiesz rearrangement

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items (10)

Quantitative anisotropic isoperimetric and Brunn−Minkowski inequalities for convex sets with improved defect estimates ⋮ Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality ⋮ Stability of the Bakry-Émery theorem on \(\mathbb{R}^n\) ⋮ Stability of the mean value formula for harmonic functions in Lebesgue spaces ⋮ Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities ⋮ Sharp quantitative stability of the planar Brunn-Minkowski inequality ⋮ Stability of the Prékopa-Leindler inequality for log-concave functions ⋮ Ground States of a Two Phase Model with Cross and Self Attractive Interactions ⋮ Sharp stability of Brunn-Minkowski for homothetic regions ⋮ Sharp stability for the interaction energy

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