105 citations · 490 across the 24 of their papers we have counts for
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On the Spectral Form Factor for Random Matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool to test universality for disord…
Density of small singular values of the shifted real Ginibre ensemble
Giorgio Cipolloni, László Erdős, Dominik Schröder
We derive a precise asymptotic formula for the density of the small singular values of the real Ginibre matrix ensemble shifted by a complex parameter as the dimension tends to…
Quenched universality for deformed Wigner matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
Following E. Wigner's original vision, we prove that sampling the eigenvalue gaps within the bulk spectrum of a fixed (deformed) Wigner matrix yields the celebrated Wigner-Dyso…
Phase Transition in the Density of States of Quantum Spin Glasses
László Erdős, Dominik Schröder
We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared wi…