{
  "id": "2206.04448",
  "version": "v1",
  "published": "2022-06-09T12:15:59.000Z",
  "updated": "2022-06-09T12:15:59.000Z",
  "title": "On the rightmost eigenvalue of non-Hermitian random matrices",
  "authors": [
    "Giorgio Cipolloni",
    "László Erdős",
    "Yuanyuan Xu",
    "Dominik Schröder"
  ],
  "comment": "40 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We establish a precise three-term asymptotic expansion, with an optimal estimate of the error term, for the rightmost eigenvalue of an $n\\times n$ random matrix with independent identically distributed complex entries as $n$ tends to infinity. All terms in the expansion are universal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-09T12:15:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B20",
      "15B52"
    ],
    "keywords": [
      "random matrix",
      "non-hermitian random matrices",
      "rightmost eigenvalue",
      "precise three-term asymptotic expansion",
      "independent identically distributed complex entries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}