{
  "id": "2102.12268",
  "version": "v1",
  "published": "2021-02-24T13:06:07.000Z",
  "updated": "2021-02-24T13:06:07.000Z",
  "title": "The full renormalization horseshoe for multimodal maps",
  "authors": [
    "Yimin Wang"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we consider the renormalization operator $\\mathcal R$ for multimodal maps. We prove the renormalization operator $\\mathcal R$ is a self-homeomorphism on any totally $\\mathcal R$-invariant set. As a corollary, we prove the existence of the full renormalization horseshoe for multimodal maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-24T13:06:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37E20",
      "37F25"
    ],
    "keywords": [
      "full renormalization horseshoe",
      "multimodal maps",
      "renormalization operator",
      "invariant set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}