Eigenvectors of the square grid plus GUE

Fuente: arXiv
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Hauptverfasser: Mészáros, András, Virág, Bálint
Format: Preprint
Veröffentlicht: 2022
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author Mészáros, András
Virág, Bálint
author_facet Mészáros, András
Virág, Bálint
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2212_09614
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Eigenvectors of the square grid plus GUE
Mészáros, András
Virág, Bálint
Probability
Mathematical Physics
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.
title Eigenvectors of the square grid plus GUE
topic Probability
Mathematical Physics
url https://arxiv.org/abs/2212.09614