On singular values of matrices with independent rows
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Publication:882877
DOI10.3150/bj/1161614945zbMath1138.60328OpenAlexW2047772840MaRDI QIDQ882877
Publication date: 24 May 2007
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3150/bj/1161614945
Random operators and equations (aspects of stochastic analysis) (60H25) Random matrices (algebraic aspects) (15B52)
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Cites Work
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Gelfand numbers of operators with values in a Hilbert space
- Non commutative Khintchine and Paley inequalities
- Random vectors in the isotropic position
- Weak convergence and empirical processes. With applications to statistics
- Random matrix approximation of spectra of integral operators
- Smallest singular value of random matrices and geometry of random polytopes
- EXTREMAL PROPERTIES OF ORTHOGONAL PARALLELEPIPEDS AND THEIR APPLICATIONS TO THE GEOMETRY OF BANACH SPACES
- Approximation of the Sphere by Polytopes having Few Vertices
- Random walks and anO*(n5) volume algorithm for convex bodies
- On the ψ2-behaviour of linear functionals on isotropic convex bodies
- 10.1162/1532443041424337
- Concentration property on probability spaces.
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