Random points in the unit ball of ℓnp

Positivity

Volumn 10, Issue 4, 2006, Pages 755-759

  Aubrun, Guillaume ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

np spaces; Random matrices; Random vectors

Indexed keywords

EID: 33750047519     PISSN: 13851292     EISSN: 15729281     Source Type: Journal    
DOI: 10.1007/s11117-005-0039-5     Document Type: Article

References (7)

1. G. Aubnin, Sampling convex bodies: a random matrix approach (preprint), http://www.institut.math.jussieu.fr/~aubrun/sampling.dvi.
2. Z.D. Bai, Y.Q. Yin, Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix, Ann. Probab., 21(3) (1993), 1275-1294.
3. n-ball, Arm. Probab., 33(2) (2005), 480-513.
4. P. Billingsley, Convergence of probability measures, Wiley Series in Probability and Statistics: Probability and Statistics. John Wiley & Sons Inc., New York, second edition, 1999. A Wiley-Interscience Publication.
5. A. Giannopoulos, Notes on isotropic convex bodies (preprint), http://eudoxos.math.uoa.gr/~apgiannop/isotropic-bodies.ps, 2003.
6. V.A. Marčenko, L.A. Pastur, Distribution of eigenvalues in certain sets of random matrices, Mat. Sb. (N.S.), 72(114) (1967), 507-536.
7. A. Pajor, L.A. Pastur, Private communication.