{
  "id": "2309.01027",
  "version": "v1",
  "published": "2023-09-02T21:32:28.000Z",
  "updated": "2023-09-02T21:32:28.000Z",
  "title": "Hausdorff limits of external rays: the topological picture",
  "authors": [
    "Carsten Lunde Petersen",
    "Saeed Zakeri"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study Hausdorff limits of the external rays of a given periodic angle along a convergent sequence of polynomials of degree $d \\geq 2$ with connected Julia sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-02T21:32:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37F20",
      "37F40"
    ],
    "keywords": [
      "external rays",
      "topological picture",
      "study hausdorff limits",
      "periodic angle",
      "convergent sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}