{
  "id": "2212.09614",
  "version": "v1",
  "published": "2022-12-19T16:52:38.000Z",
  "updated": "2022-12-19T16:52:38.000Z",
  "title": "Eigenvectors of the square grid plus GUE",
  "authors": [
    "András Mészáros",
    "Bálint Virág"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-19T16:52:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "square grid plus gue",
      "eigenvectors",
      "uniform boundary conditions retain",
      "discrete gaussian waves",
      "phase transition happens"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}