{
  "id": "1908.00969",
  "version": "v1",
  "published": "2019-08-02T17:57:40.000Z",
  "updated": "2019-08-02T17:57:40.000Z",
  "title": "Edge Universality for non-Hermitian Random Matrices",
  "authors": [
    "Giorgio Cipolloni",
    "László Erdős",
    "Dominik Schröder"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider large non-Hermitian real or complex random matrices $X$ with independent, identically distributed centred entries. We prove that their local eigenvalue statistics near the spectral edge, the unit circle, coincide with those of the Ginibre ensemble, i.e. when the matrix elements of $X$ are Gaussian. This result is the non-Hermitian counterpart of the universality of the Tracy-Widom distribution at the spectral edges of the Wigner ensemble.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-02T17:57:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B20",
      "15B52"
    ],
    "keywords": [
      "non-hermitian random matrices",
      "edge universality",
      "spectral edge",
      "large non-hermitian real",
      "complex random matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}