Sections of convex bodies through their centroid
From MaRDI portal
Publication:1383608
DOI10.1007/s000130050154zbMath0901.52005OpenAlexW2081912890MaRDI QIDQ1383608
Publication date: 22 November 1998
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s000130050154
convex bodiesBrunn-Minkowski theorycentroidsinequalities and extremum problemsconvex sets in \(n\) dimensionsvolume of a section
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (30)
The KLS isoperimetric conjecture for generalized Orlicz balls ⋮ Power-law estimates for the central limit theorem for convex sets ⋮ Transference principles for log-Sobolev and spectral-gap with applications to conservative spin systems ⋮ Sampling by intersections with random geodesics ⋮ Concentration of information content for convex measures ⋮ Optimal Concentration of Information Content for Log-Concave Densities ⋮ Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures ⋮ A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures ⋮ The Langevin Monte Carlo algorithm in the non-smooth log-concave case ⋮ On general concavity extensions of Grünbaum type inequalities ⋮ On a generalization of the Hermite-Hadamard inequality and applications in convex geometry ⋮ Threshold for the expected measure of random polytopes ⋮ Small-ball probabilities for the volume of random convex sets ⋮ On the volume of sections of a convex body by cones ⋮ Neighborhoods on the Grassmannian of marginals with bounded isotropic constant ⋮ Centroid bodies and the logarithmic Laplace transform - A unified approach ⋮ Small ball probability estimates for log-concave measures ⋮ A central limit theorem for convex sets ⋮ On Grünbaum type inequalities ⋮ Increasing functions and inverse Santaló inequality for unconditional functions ⋮ An isoperimetric inequality for uniformly log-concave measures and uniformly convex bodies ⋮ Small ball probability estimates, \(\psi_2\)-behavior and the hyperplane conjecture ⋮ A generalized localization theorem and geometric inequalities for convex bodies ⋮ Estimating the average of functions with convexity properties by means of a new center ⋮ Applications of Grünbaum-type inequalities ⋮ Sectional bodies associated with a convex body ⋮ On affine invariant and local Loomis–Whitney type inequalities ⋮ Logarithmically-Concave Moment Measures I ⋮ Remarks on the KLS Conjecture and Hardy-Type Inequalities ⋮ Moment measures
This page was built for publication: Sections of convex bodies through their centroid