{
  "id": "0710.3633",
  "version": "v3",
  "published": "2007-10-19T05:52:11.000Z",
  "updated": "2012-09-07T23:19:59.000Z",
  "title": "Dynamics in Thompson's Group F",
  "authors": [
    "James Belk",
    "Francesco Matucci"
  ],
  "comment": "This paper has been merged with the preprint http://arxiv.org/abs/0708.4250 which underwent a major revision and is now called \"Conjugacy and Dynamics in Thompson's groups\"",
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We describe an explicit relationship between strand diagrams and piecewise-linear functions for elements of Thompson's group F. Using this correspondence, we investigate the dynamics of elements of F, and we show that conjugacy of one-bump functions can be described by a Mather-type invariant.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-07T23:19:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "thompsons group",
      "strand diagrams",
      "explicit relationship",
      "piecewise-linear functions",
      "one-bump functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3633B"
    }
  }
}