Concentration of norms and eigenvalues of random matrices

Details Concentration of norms and eigenvalues of random matrices Concentration of norms and eigenvalues of random matrices

2002-11-12

arxiv.org/abs/math/0211192v2

J. Funct. Anal. 211 (2004) no. 2, 508-524

Mathematics

Probability

15 pages; AMS-LaTeX; updated one reference

Scientific paper

10.1016/S0022-1236(03)00198-8

We prove concentration results for $\ell_p^n$ operator norms of rectangular
random matrices and eigenvalues of self-adjoint random matrices. The random
matrices we consider have bounded entries which are independent, up to a
possible self-adjointness constraint. Our results are based on an isoperimetric
inequality for product spaces due to Talagrand.

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