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math.PR2018
Cusp Universality for Random Matrices II: The Real Symmetric Case
Giorgio Cipolloni, László Erdős, Torben Krüger +1
We prove that the local eigenvalue statistics of real symmetric Wigner-type matrices near the cusp points of the eigenvalue density are universal. Together with the companion paper…
math.OA2018
The Dyson equation with linear self-energy: spectral bands, edges and cusps
Johannes Alt, Laszlo Erdos, Torben Krüger
We study the unique solution of the Dyson equation \[ -m(z)^{-1} = z - a + S[m(z)] \] on a von Neumann algebra with the constraint . Here, $…