Eigenvectors of the square grid plus GUE
Probability
2024-04-24 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2212.09614,
title = {Eigenvectors of the square grid plus GUE},
author = {András Mészáros and Bálint Virág},
journal= {arXiv preprint arXiv:2212.09614},
year = {2024}
}