{
  "id": "1312.0281",
  "version": "v1",
  "published": "2013-12-01T22:32:25.000Z",
  "updated": "2013-12-01T22:32:25.000Z",
  "title": "Linear Triangle Dynamics: The Pedal Map and Beyond",
  "authors": [
    "Claire Castellano amd Corey Manack"
  ],
  "comment": "11 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We present a moduli space for similar triangles, then classify triangle maps $f$ that arise from linear maps on this space, with the well-studied pedal map as a special case. Each linear triangle map admits a Markov partition, showing that $f$ is mixing, hence ergodic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-01T22:32:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10"
    ],
    "keywords": [
      "linear triangle dynamics",
      "linear triangle map admits",
      "linear maps",
      "well-studied pedal map",
      "special case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.0281C"
    }
  }
}