{
  "id": "1406.6347",
  "version": "v2",
  "published": "2014-06-24T19:31:40.000Z",
  "updated": "2017-09-13T18:42:03.000Z",
  "title": "Dynamics on Trees of Spheres",
  "authors": [
    "Matthieu Arfeux"
  ],
  "doi": "10.1112/jlms.12016",
  "categories": [
    "math.DS"
  ],
  "abstract": "We introduce the notion of dynamically marked rational maps. We study sequences of analytic conjugacy classes of rational maps which diverge in moduli space. In particular, we are interested in the notion of rescaling limits introduced by Jan Kiwi. In order to deal with those, we introduce the notion of dynamical covers between trees of spheres for which a periodic sphere corresponds to a rescaling limit. We then recover results of Jan Kiwi regarding rescaling limits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-24T19:31:40.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-09-13T18:42:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "analytic conjugacy classes",
      "jan kiwi regarding rescaling limits",
      "periodic sphere corresponds",
      "study sequences",
      "dynamically marked rational maps"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.6347A"
    }
  }
}