András Mészáros, Bálint Virág
Published 2022-12-19Version 1
Eigenvectors of the GUE-perturbed discrete torus with uniform boundary conditions retain some product structure for small perturbations but converge to discrete Gaussian waves for large perturbations. We determine where this phase transition happens.
The distribution of overlaps between eigenvectors of Ginibre matrices
On Eigenvectors of Random Band Matrices with Large Band
The completely delocalized region of the Erdős-Rényi graph
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