{
  "id": "2010.02963",
  "version": "v1",
  "published": "2020-10-06T18:27:33.000Z",
  "updated": "2020-10-06T18:27:33.000Z",
  "title": "Joint Global Fluctuations of complex Wigner and deterministic Matrices",
  "authors": [
    "Camile Male",
    "James A. Mingo",
    "Sandrine Péché",
    "Roland Speicher"
  ],
  "comment": "46 pages, 18 figures",
  "categories": [
    "math.PR",
    "math.OA"
  ],
  "abstract": "We characterize the limiting fluctuations of traces of several independent Wigner matrices and deterministic matrices under mild conditions. A CLT holds but in general the families are not asymptotically free of second order and the limiting covariance depends on more information on the deterministic matrices than their limiting *-distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-06T18:27:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "deterministic matrices",
      "joint global fluctuations",
      "complex wigner",
      "independent wigner matrices",
      "mild conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}