{
  "id": "1412.5353",
  "version": "v1",
  "published": "2014-12-17T12:01:14.000Z",
  "updated": "2014-12-17T12:01:14.000Z",
  "title": "Effective Equidistribution for some Unipotent Flows in PSL(2, R)^k mod Cocompact, Irreducible Lattice",
  "authors": [
    "James Tanis"
  ],
  "comment": "8 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $k \\geq 2$ and $\\Gamma \\subset \\operatorname{PSL}(2, \\mathbb R)^k$ be an irreducible, cocompact lattice. We prove effective equidistribution for unipotent flows on $\\Gamma \\backslash \\operatorname{PSL}(2, \\mathbb R)^k$ whose generator in $\\operatorname{\\mathfrak s\\mathfrak l}(2, \\mathbb R)^k$ satisfies the following condition: As a $2k\\times 2k$ matrix, the eigenspace of the zero eigenvalue has codimension 1. These are the simplest cases for proving effective equidistribution in $\\Gamma \\subset \\operatorname{PSL}(2, \\mathbb R)^k$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-17T12:01:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A17",
      "37A05",
      "47A67"
    ],
    "keywords": [
      "effective equidistribution",
      "unipotent flows",
      "mod cocompact",
      "irreducible lattice",
      "cocompact lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.5353T"
    }
  }
}