June 1, 2017

Mesoscopic eigenvalue statistics of Wigner matrices

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Resumen

We prove that the linear statistics of the eigenvalues of a Wigner matrix converge to a universal Gaussian process on all mesoscopic spectral scales, that is, scales larger than the typical eigenvalue spacing and smaller than the global extent of the spectrum.

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He et al. (Thu,) studied this question.

synapsesocial.com/papers/6a10ea0ced67694fb09f97f1 https://doi.org/https://doi.org/10.1214/16-aap1237

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5On the convergence of the spectral empirical process of Wigner matrices2005 · 117 citations

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