On the Mean Width of Log-Concave Functions

DOI10.1007/978-3-642-29849-3_22zbMath1264.26016arXiv1210.4325OpenAlexW2118946003MaRDI QIDQ4913029

Liran Rotem

Publication date: 3 April 2013

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

Full work available at URL: https://arxiv.org/abs/1210.4325

zbMATH Keywords

log-concave functionsmean widthUrysohn type inequalitygeometrization of probability

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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LYZ ellipsoid and Petty projection body for log-concave functions ⋮ Rogers-Shephard inequality for log-concave functions ⋮ Support functions and mean width for \(\alpha\)-concave functions ⋮ Some remarks on petty projection of log-concave functions ⋮ Functional geominimal surface area and its related affine isoperimetric inequality ⋮ Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities ⋮ The first variation of the total mass of log-concave functions and related inequalities ⋮ Equivariant endomorphisms of convex functions ⋮ On mixed quermassintegral for log-concave functions ⋮ The functional inequality for the mixed quermassintegral ⋮ The functional form of the dual mixed volume ⋮ A Riesz representation theorem for functionals on log-concave functions ⋮ Surface area measures of log-concave functions ⋮ Affine invariant maps for log-concave functions

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