{
  "id": "1708.03886",
  "version": "v1",
  "published": "2017-08-13T10:54:24.000Z",
  "updated": "2017-08-13T10:54:24.000Z",
  "title": "Equidistribution in measure-preserving actions of semisimple groups : case of $SL_2(\\mathbb{R})$",
  "authors": [
    "Amos Nevo"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove pointwise convergence for the semi-radial averages on $G=SL_2(\\mathbb{R})$ given by $\\int_t^{t+1} m_K\\ast \\delta_{a_{s}}ds$ (and similar variants), acting on $K$-finite $L^p$-functions in a probability-measure-preserving action of the group, for $p > 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-13T10:54:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30",
      "28D15",
      "22E43",
      "43A90"
    ],
    "keywords": [
      "semisimple groups",
      "measure-preserving actions",
      "equidistribution",
      "semi-radial averages"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}