{
  "id": "1512.02373",
  "version": "v1",
  "published": "2015-12-08T09:12:41.000Z",
  "updated": "2015-12-08T09:12:41.000Z",
  "title": "On the rate of equidistribution of expanding horospheres in finite-volume quotients of $\\mathrm{SL}(2,\\mathbb{C})$",
  "authors": [
    "Samuel Edwards"
  ],
  "comment": "26 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $\\Gamma$ be a lattice in $G=\\mathrm{SL}(2,\\mathbb{C})$. We give an effective equidistribution result with precise error terms for expanding translates of pieces of horospherical orbits in $\\Gamma\\backslash G$. Our method of proof relies on the theory of unitary representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-08T09:12:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A17"
    ],
    "keywords": [
      "finite-volume quotients",
      "expanding horospheres",
      "precise error terms",
      "unitary representations",
      "proof relies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}