Gaussian Brunn-Minkowski inequalities
DOI10.1090/S0002-9947-2010-04891-3zbMath1205.52002OpenAlexW2089680643MaRDI QIDQ3053475
Artem Zvavitch, Richard J. Gardner
Publication date: 29 October 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-04891-3
convex bodystar bodyBrunn-Minkowski inequality\(S\)-inequalityGauss measuregeometric tomographydual Brunn-Minkowski inequalityPrékopa-Leindler inequalityradial sumEhrhard's inequality\((B)\) conjecture
Gaussian processes (60G15) Inequalities; stochastic orderings (60E15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- ĂlĂ©ments extrĂ©maux pour les inĂ©galitĂ©s de Brunn-Minkowski gaussiennes (Extreme elements for the Gaussian Brunn-Minkowski inequalities)
- Intersection bodies and dual mixed volumes
- The Brunn-Minkowski inequality in Gauss space
- Convex measures on locally convex spaces
- A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
- An analytic solution to the Busemann-Petty problem on sections of convex bodies
- Tomography of convex and star bodies
- Geometric tomography and local stereology.
- The Ehrhard inequality
- Gaussian measures of dilatations of convex symmetric sets
- Intersection bodies and the Busemann-Petty inequalities in \(\mathbb{R}^ 4\)
- A positive answer to the Busemann-Petty problem in three dimensions
- The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
- Dual mixed volumes
- Convex set functions in \(d\)-space
- Inequalities of the Brunn-Minkowski type for Gaussian measures
- Minkowski sums and Brownian exit times
- Geometric inequalities for a class of exponential measures
- Symétrisation dans l'espace de Gauss.
- On Gaussian BrunnâMinkowski inequalities
- Intersection Bodies and the Busemann-Petty Problem
- The Brunn-Minkowski inequality
- Small ball probability estimates in terms of width
- A note on the Ehrhard inequality