On the concentration of eigenvalues of random symmetric matrices

Details On the concentration of eigenvalues of random symmetric matrices On the concentration of eigenvalues of random symmetric matrices

2000-09-21

arxiv.org/abs/math-ph/0009032v1

Physics

Mathematical Physics

Scientific paper

We prove that few largest (and most important) eigenvalues of random
symmetric matrices of various kinds are very strongly concentrated. This strong
concentration enables us to compute the means of these eigenvalues with high
precision. Our approach uses Talagrand's inequality and is very different from
standard approaches.

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