{
  "id": "1306.3757",
  "version": "v2",
  "published": "2013-06-17T07:38:38.000Z",
  "updated": "2013-09-25T14:40:34.000Z",
  "title": "On the genericity of pseudo-Anosov braids I: rigid braids",
  "authors": [
    "Sandrine Caruso"
  ],
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We prove that, in the $l$-ball of the Cayley graph of the braid group with $n \\geqslant 3$ strands, the proportion of rigid pseudo-Anosov braids is bounded below independently of $l$ by a positive value.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-25T14:40:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20F65",
      "20F69",
      "05C50"
    ],
    "keywords": [
      "rigid braids",
      "genericity",
      "rigid pseudo-anosov braids",
      "braid group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.3757C"
    }
  }
}