Neighborhoods on the Grassmannian of marginals with bounded isotropic constant
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Publication:457651
DOI10.1016/j.jfa.2014.07.004zbMath1304.52009arXiv1404.4988OpenAlexW2149916045MaRDI QIDQ457651
Petros Valettas, Grigoris Paouris
Publication date: 29 September 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.4988
Integral geometry (53C65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
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Cites Work
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- A probabilistic take on isoperimetric-type inequalities
- Centroid bodies and the logarithmic Laplace transform - A unified approach
- The finite dimensional basis problem with an appendix on nets of Grassmann manifolds
- Area and normality
- Concentration of mass on convex bodies
- On convex perturbations with a bounded isotropic constant
- Power-law estimates for the central limit theorem for convex sets
- Intersection bodies and dual mixed volumes
- Sections of convex bodies through their centroid
- \(L_ p\) affine isoperimetric inequalities.
- New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
- Small-ball probabilities for the volume of random convex sets
- Isoperimetric inequalities and identities for \(k\)-dimensional cross-sections of convex bodies
- Pointwise estimates for marginals of convex bodies
- Estimates for the affine and dual affine quermassintegrals of convex bodies
- A central limit theorem for convex sets
- Further Unifying Two Approaches to the Hyperplane Conjecture
- ON THE EXISTENCE OF SUPERGAUSSIAN DIRECTIONS ON CONVEX BODIES
- Convex Bodies Associated with a Given Convex Body
- A General Isepiphanic Inequality
- Logarithmically concave functions and sections of convex sets in $R^{n}$
- On the isotropic constant of marginals
- Small ball probability estimates for log-concave measures
- $𝜓_{𝛼}$-estimates for marginals of log-concave probability measures
