{
  "id": "1005.1306",
  "version": "v1",
  "published": "2010-05-07T22:33:09.000Z",
  "updated": "2010-05-07T22:33:09.000Z",
  "title": "Stein's method, heat kernel, and traces of powers of elements of compact Lie groups",
  "authors": [
    "Jason Fulman"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "Combining Stein's method with heat kernel techniques, we show that the trace of the jth power of an element of U(n,C), USp(n,C) or SO(n,R) has a normal limit with error term of order j/n. In contrast to previous works, here j may be growing with n. The technique should prove useful in the study of the value distribution of approximate eigenfunctions of Laplacians.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-07T22:33:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact lie groups",
      "heat kernel techniques",
      "jth power",
      "combining steins method",
      "normal limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 854896,
      "adsabs": "2010arXiv1005.1306F"
    }
  }
}