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arXiv · 2212.09614

Eigenvectors of the square grid plus GUE

András Mészáros·Bálint Virág
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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.

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András Mészáros, Bálint Virág. 2022-12-19. Eigenvectors of the square grid plus GUE. https://doi.org/10.1007/s00220-023-04900-9

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