{
  "id": "1205.4930",
  "version": "v1",
  "published": "2012-05-22T14:40:49.000Z",
  "updated": "2012-05-22T14:40:49.000Z",
  "title": "Limit theorems for rank-one Lie groups",
  "authors": [
    "Alexander Gorodnik",
    "Felipe A. Ramirez"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We investigate asymptotic behaviour of averaging operators for actions of simple rank-one Lie groups. It was previously known that these averaging operators converge almost everywhere, and we establish a more precise asymptotic formula that describes their deviations from the limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-22T14:40:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "limit theorems",
      "simple rank-one lie groups",
      "precise asymptotic formula",
      "asymptotic behaviour",
      "averaging operators converge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.4930G"
    }
  }
}