On volume distribution in 2-convex bodies
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Publication:940745
DOI10.1007/s11856-008-0027-0zbMath1151.52007arXivmath/0604594OpenAlexW2054482726MaRDI QIDQ940745
Publication date: 3 September 2008
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604594
isotropic positionslicing problem2-convex bodyGaussian marginalshigh-dimensional convex bodiesvolume distribution
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Cites Work
- The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
- The modulus of convexity in normed linear spaces
- Dual mixed volumes and the slicing problem
- Concentration of mass on the Schatten classes
- Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Projections onto Hilbertian subspaces of Banach spaces
- Computing 2-summing norm with few vectors
- Iterated forcing and changing cofinalities
- The isotropy constants of the Schatten classes are bounded
- Quermassintegrals of a random polytope in a convex body
- Asymptotics of cross sections for convex bodies
- From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
- An isomorphic version of the slicing problem
- New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
- A central limit theorem for convex sets
- A new approach to several results of V. Milman.
- Slicing Convex Bodies-Bounds for Slice Area in Terms of the Body's Covariance
- Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
- Hyperplane conjecture for quotient spaces of L p
- Mean width and diameter of proportional sections of a symmetric convex body
- The central limit problem for convex bodies
- Concentration of the distance in finite dimensional normed spaces
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