An Interpolation Proof of Ehrhard’s Inequality

DOI10.1007/978-3-030-46762-3_12zbMath1460.52011arXiv1605.07233OpenAlexW2395021911MaRDI QIDQ5115971

Grigoris Paouris, Joe Neeman

Publication date: 21 August 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07233

zbMATH Keywords

interpolationJensen inequalityPrékopa-Leindler inequalityGaussian variablesOrnstein-Uhlenbeck semi-groupEhrhard's inequality

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39)

Related Items

The Borell-Ehrhard game ⋮ On the tightness of Gaussian concentration for convex functions

Cites Work

• Unnamed Item
• On a reverse form of the Brascamp-Lieb inequality
• The Ehrhard inequality
• Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
• Improved Hölder and reverse Hölder inequalities for Gaussian random vectors
• The Borell-Ehrhard game
• Minkowski sums and Brownian exit times
• A multidimensional version of noise stability
• Symétrisation dans l'espace de Gauss.
• Hessian of Bellman functions and uniqueness of the Brascamp–Lieb inequality
• On Gaussian Brunn–Minkowski inequalities
• A note on the Ehrhard inequality
• Analysis and Geometry of Markov Diffusion Operators
• Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities