238 citations · 1.5k across the 41 of their papers we have counts for
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math.PR2013
The Altshuler-Shklovskii Formulas for Random Band Matrices II: the General Case
Laszlo Erdos, Antti Knowles
The Altshuler-Shklovskii formulas [1] predict, for any disordered quantum system in the diffusive regime, a universal power law behaviour for the correlation functions of the mesos…
math.PR2013★ 26 cited
The Altshuler-Shklovskii Formulas for Random Band Matrices I: the Unimodular Case
Laszlo Erdos, Antti Knowles
We consider the spectral statistics of large random band matrices on mesoscopic energy scales. We show that the two-point correlation function of the local eigenvalue density exhib…
math.PR2013★ 13 cited
Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices
Alex Bloemendal, Laszlo Erdos, Antti Knowles +2
We consider sample covariance matrices of the form , where is an matrix with independent random entries. We prove the isotropic local Marchenko-Pastur law, i…