Random Euclidean embeddings in spaces of bounded volume ratio

DOI10.1016/j.crma.2004.04.019zbMath1049.46007OpenAlexW1982775445MaRDI QIDQ1876894

Alain Pajor, M. V. Rudel'son, Alexander E. Litvak, Nicole Tomczak-Jaegermann, R. V. Vershinin

Publication date: 20 August 2004

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.2004.04.019

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Geometry and structure of normed linear spaces (46B20) Linear operators defined by compactness properties (47B07) 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

Diameters of sections and coverings of convex bodies, Kahane-Khinchin type averages, The smallest singular value of a shifted $d$-regular random square matrix, Polynomial bounds for large Bernoulli sections of \(\ell_1^N\), Smallest singular value of random matrices and geometry of random polytopes, Logarithmic reduction of the level of randomness in some probabilistic geometric constructions, Lower estimates for the singular values of random matrices

Cites Work

• Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
• Special orthogonal splittings of \(L_1^{2k}\)
• Smallest singular value of random matrices and geometry of random polytopes
• Mean width and diameter of proportional sections of a symmetric convex body
• Regularization of star bodies by random hyperplane cut off
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item