Moderate Deviations for the Spectral Measure of Certain Random Matrices
نویسنده
چکیده
– We derive a moderate deviations principle for matrices of the form XN = DN + WN where WN are Wigner matrices and DN is a sequence of deterministic matrices whose spectral measures converge in a strong sense to a limit μD . Our techniques are based on a dynamical approach introduced by Cabanal-Duvillard and Guionnet. 2003 Éditions scientifiques et médicales Elsevier SAS MSC: 60F99; 15A52
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