{
  "id": "1203.0272",
  "version": "v1",
  "published": "2012-03-01T19:25:28.000Z",
  "updated": "2012-03-01T19:25:28.000Z",
  "title": "Hyperconvex representations and exponential growth",
  "authors": [
    "Andres Sambarino"
  ],
  "doi": "10.1017/etds.2012.170",
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "Let $G$ be a real algebraic semi-simple Lie group and $\\Gamma$ be the fundamental group of a compact negatively curved manifold. In this article we study the limit cone, introduced by Benoist, and the growth indicator function, introduced by Quint, for a class of representations $\\rho:\\Gamma\\to G$ admitting a equivariant map from $\\partial\\Gamma$ to the Furstenberg boundary of $G$'s symmetric space together with a transversality condition. We then study how these objects vary with the representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-01T19:25:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential growth",
      "hyperconvex representations",
      "real algebraic semi-simple lie group",
      "growth indicator function",
      "objects vary"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.0272S"
    }
  }
}