{
  "id": "2208.02525",
  "version": "v1",
  "published": "2022-08-04T08:33:58.000Z",
  "updated": "2022-08-04T08:33:58.000Z",
  "title": "Effective version of Ratner's equidistribution theorem for $\\mathrm{SL}(3,\\mathbb{R})$",
  "authors": [
    "Lei Yang"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "In this paper, we will prove an effective version of Ratner's equidistribution theorem for unipotent orbits in $\\mathrm{SL}(3,\\mathbb{R})/\\mathrm{SL}(3,\\mathbb{Z})$ with a natural Diophantine condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-04T08:33:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A17",
      "37A25",
      "22F30"
    ],
    "keywords": [
      "ratners equidistribution theorem",
      "effective version",
      "natural diophantine condition",
      "unipotent orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}