{
  "id": "2211.08528",
  "version": "v1",
  "published": "2022-11-15T21:55:39.000Z",
  "updated": "2022-11-15T21:55:39.000Z",
  "title": "Kneading Theory for Iteration of Monotonous Functions on the Real Line",
  "authors": [
    "Ermerson Araujo",
    "Alex Zamudio Espinosa"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a version of kneading theory for families of monotonous functions on the real line. The generality of the setup covers two classical results from Milnor-Thurston's kneading theory: the first one is to dynamically characterise an $l$-modal map by its kneading sequence, the second one is to define the concept of kneading determinant, relate it to topological entropy and use this to construct a certain type of special \"linearazing measure\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-15T21:55:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B40",
      "37C15",
      "37E05",
      "37F05"
    ],
    "keywords": [
      "real line",
      "monotonous functions",
      "modal map",
      "milnor-thurstons kneading theory",
      "setup covers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}