{
  "id": "0806.4975",
  "version": "v3",
  "published": "2008-06-30T19:31:05.000Z",
  "updated": "2009-04-27T20:59:31.000Z",
  "title": "Growth of intersection numbers for free group automorphisms",
  "authors": [
    "Jason Behrstock",
    "Mladen Bestvina",
    "Matt Clay"
  ],
  "comment": "33 pages, 6 figures, incorporates referee's suggestions",
  "doi": "10.1112/jtopol/jtq008",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "For a fully irreducible automorphism \\phi of the free group F_k we compute the asymptotics of the intersection number n \\mapsto i(T,T'\\phi^n) for trees T,T' in Outer space. We also obtain qualitative information about the geometry of the Guirardel core for the trees T and T'\\phi^n for n large.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-04-27T20:59:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F28",
      "20F65"
    ],
    "keywords": [
      "free group automorphisms",
      "intersection number",
      "outer space",
      "guirardel core",
      "qualitative information"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.4975B"
    }
  }
}