{
  "id": "1805.05753",
  "version": "v1",
  "published": "2018-05-15T13:29:21.000Z",
  "updated": "2018-05-15T13:29:21.000Z",
  "title": "Optimal parametrizations of a class of self-affine sets",
  "authors": [
    "Shu-Qin Zhang"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we study optimal parametrizations of the invariant sets of a single matrix graph IFS which is a generalization of the result of Rao and Zhang (2016). We show that the invariant sets of a linear single matrix GIFS which has a primitive associated matrix and satisfies the open set condition admit optimal parametrizations. This result is the basis of the further study of space-filling curves of self-affine sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-15T13:29:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "52C20"
    ],
    "keywords": [
      "self-affine sets",
      "set condition admit optimal parametrizations",
      "open set condition admit optimal",
      "linear single matrix gifs",
      "invariant sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}