{
  "id": "math/0506295",
  "version": "v3",
  "published": "2005-06-15T10:56:00.000Z",
  "updated": "2006-01-24T08:40:33.000Z",
  "title": "The minimum dilatation of pseudo-Anosov 5-braids",
  "authors": [
    "Ji-Young Ham",
    "Won Taek Song"
  ],
  "comment": "21 pages, 9 figures; a Mathematica script included in the source file as fbrmin.m and fbrmin.ps; one more section is added for describing implementation and some more subsections are added to Introduction",
  "categories": [
    "math.GT",
    "math.DS"
  ],
  "abstract": "The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero $\\lambda_5 \\approx 1.72208$ of $x^4 - x^3 - x^2 - x + 1$ which is attained by $\\sigma_1\\sigma_2\\sigma_3\\sigma_4\\sigma_1\\sigma_2$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-01-24T08:40:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "37B40",
      "57M60"
    ],
    "keywords": [
      "minimum dilatation",
      "pseudo-anosov"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6295H"
    }
  }
}