Randomizing properties of convex high-dimensional bodies and some geometric inequalities

DOI10.1016/S1631-073X(02)02350-6zbMath1019.46009OpenAlexW2088611716MaRDI QIDQ1608698

Vitali D. Milman, Efim D. Gluskin

Publication date: 23 September 2003

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

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02350-6

zbMATH Keywords

convex symmetric bodyrandom cotyperandom susm

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Probabilistic methods in Banach space theory (46B09) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (2)

The Sprawl Conjecture for Convex Bodies ⋮ Statistical hyperbolicity in groups.

Cites Work

• Unnamed Item
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• On a reverse form of the Brascamp-Lieb inequality
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• A general rearrangement inequality for multiple integrals
• A Topological Application of the Isoperimetric Inequality
• Concentration of the distance in finite dimensional normed spaces

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