Concentration of mass on isotropic convex bodies

DOI10.1016/j.crma.2005.11.018zbMath1087.52002OpenAlexW2029752624MaRDI QIDQ817876

Grigoris Paouris

Publication date: 20 March 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.11.018

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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Cites Work

• Concentration of mass on the Schatten classes
• Averages of norms and quasi-norms
• Random vectors in the isotropic position
• Blaschke-Santaló inequalities
• Global versus local asymptotic theories of finite-dimensional normed spaces
• \(L_ p\) affine isoperimetric inequalities.
• On the ψ₂-behaviour of linear functionals on isotropic convex bodies
• Concentration of mass and central limit properties of isotropic convex bodies
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