Robust dimension free isoperimetry in Gaussian space

DOI10.1214/13-AOP860zbMath1320.60063arXiv1202.4124OpenAlexW1512648280MaRDI QIDQ2352746

Joe Neeman, Elchanan Mossel

Publication date: 6 July 2015

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4124

zbMATH Keywords

isoperimetric inequalitiesGaussian measurenoise stabilitymajority is stablest

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Stationary stochastic processes (60G10) Inequalities involving derivatives and differential and integral operators (26D10) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87)

Related Items

Sharp Poincaré-Type Inequality for the Gaussian Measure on the Boundary of Convex Sets, Compactness and Rigidity of λ-Surfaces, Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality, Symmetry of minimizers of a Gaussian isoperimetric problem, The quantitative isoperimetric inequality and related topics, Quantitative isoperimetric inequalities for log-convex probability measures on the line, A Stein deficit for the logarithmic Sobolev inequality, Bounds on the deficit in the logarithmic Sobolev inequality, Stability of the logarithmic Sobolev inequality via the Föllmer process, Local minimality of the ball for the Gaussian perimeter, Essential connectedness and the rigidity problem for Gaussian symmetrization, Rigidity for the isoperimetric inequality of negative effective dimension on weighted Riemannian manifolds, On multiple peaks and moderate deviations for the supremum of a Gaussian field, Stability of Talagrand's Gaussian transport-entropy inequality via the Föllmer process, The structure of Gaussian minimal bubbles, Equality in the logarithmic Sobolev inequality, The sharp Gagliardo-Nirenberg-Sobolev inequality in quantitative form, Quantitative estimates for the Bakry-Ledoux isoperimetric inequality

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