{
  "id": "1203.0280",
  "version": "v2",
  "published": "2012-03-01T19:54:54.000Z",
  "updated": "2014-07-12T14:35:23.000Z",
  "title": "The orbital counting problem for hyperconvex representations",
  "authors": [
    "Andres Sambarino"
  ],
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We give a precise counting result on the symmetric space of a noncompact real algebraic semisimple group $G,$ for a class of discrete subgroups of $G$ that contains, for example, representations of a surface group on $\\textrm{PSL}(2,\\mathbb R)\\times\\textrm{PSL}(2,\\mathbb R),$ induced by choosing two points on the Teichm\\\"uller space of the surface; and representations on the Hitchin component of $\\textrm{PSL}(d,\\mathbb R).$ We also prove a mixing property for the Weyl chamber flow in this setting.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-12T14:35:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbital counting problem",
      "hyperconvex representations",
      "noncompact real algebraic semisimple group",
      "weyl chamber flow",
      "hitchin component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.0280S"
    }
  }
}