11 citations · 40 across the 12 of their papers we have counts for
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math.PR2016★ 2 cited
Isotropic self-consistent equations for mean-field random matrices
Yukun He, Antti Knowles, Ron Rosenthal
We present a simple and versatile method for deriving (an)isotropic local laws for general random matrices constructed from independent random variables. Our method is applicable t…
math.PR2016★ 3 cited
Mesoscopic eigenvalue statistics of Wigner matrices
Yukun He, Antti Knowles
We prove that the linear statistics of the eigenvalues of a Wigner matrix converge to a universal Gaussian process on all mesoscopic spectral scales, i.e. scales larger than the ty…