Inequalities of the Brunn-Minkowski type for Gaussian measures

DOI10.1007/s00440-007-0062-5zbMath1137.60004OpenAlexW2045904249MaRDI QIDQ2464673

Christer Borell

Publication date: 17 December 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-007-0062-5

zbMATH Keywords

convex setBorel setmeasurable setGaussian measure on \(\mathbb{R}^n\)inequality of the Brunn-Minkowski typelinear combination of sets

Mathematics Subject Classification ID

Gaussian processes (60G15) Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05) Geometric probability and stochastic geometry (60D05)

Related Items (5)

The equality cases of the Ehrhard-Borell inequality ⋮ The Borell-Ehrhard game ⋮ Minimal hypersurfaces and geometric inequalities ⋮ Perturbations in the Gaussian isoperimetric inequality ⋮ Gaussian Brunn-Minkowski inequalities

Cites Work

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• Extremal properties of half-spaces for spherically invariant measures
• The Ehrhard inequality
• Minkowski sums and Brownian exit times
• Symétrisation dans l'espace de Gauss.
• A note on the Ehrhard inequality

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