{
  "id": "1510.01147",
  "version": "v1",
  "published": "2015-10-05T13:40:21.000Z",
  "updated": "2015-10-05T13:40:21.000Z",
  "title": "Local spectral statistics of Gaussian matrices with correlated entries",
  "authors": [
    "Oskari Ajanki",
    "Laszlo Erdos",
    "Torben Krüger"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1506.05098",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensembles with correlated entries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-05T13:40:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B20",
      "15B52"
    ],
    "keywords": [
      "local spectral statistics",
      "correlated entries",
      "gaussian matrices",
      "invariant gaussian random matrix ensembles",
      "translation invariant gaussian random matrix"
    ],
    "publication": {
      "doi": "10.1007/s10955-016-1479-y",
      "journal": "Journal of Statistical Physics",
      "year": 2016,
      "month": "Apr",
      "volume": 163,
      "number": 2,
      "pages": 280
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016JSP...163..280A"
    }
  }
}