Hyperplane sections of convex bodies in isotropic position
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Publication:1591725
zbMath0966.52004MaRDI QIDQ1591725
Publication date: 9 January 2001
Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/232153
volumeinequalitiesmaximal functionhyperplaneinertiaellipsoidintersection bodycentroidsectionisotropiccross-section body
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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The Slicing Problem by Bourgain ⋮ The KLS isoperimetric conjecture for generalized Orlicz balls ⋮ Convex bodies and norms associated to convex measures ⋮ The dual Loomis–Whitney inequality ⋮ Dimension free bounds for the Hardy–Littlewood maximal operator associated to convex sets ⋮ Moment-entropy inequality for isotropic measures ⋮ On concentration functions of random variables ⋮ Hyperplane sections of convex bodies ⋮ Entropies of sums of independent gamma random variables ⋮ The floating body and the hyperplane conjecture ⋮ On the volume of sections of a convex body by cones ⋮ Reverse Loomis-Whitney inequalities via isotropicity ⋮ Volume estimates for sections of certain convex bodies ⋮ A Grassmannian Loomis–Whitney inequality and its dual ⋮ An inequality for the perimeter of the centroid body in the plane ⋮ Regular simplices passing through holes ⋮ On the integrality gap of binary integer programs with Gaussian data ⋮ One-dimensional empirical measures, order statistics, and Kantorovich transport distances ⋮ The Santaló-regions of a convex body ⋮ On the \(p\)-affine surface area ⋮ Stability results for sections of convex bodies
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