{
  "id": "2207.05823",
  "version": "v1",
  "published": "2022-07-12T20:33:29.000Z",
  "updated": "2022-07-12T20:33:29.000Z",
  "title": "Existence and uniqueness of measures of maximal entropy for partially hyperbolic endomorphisms",
  "authors": [
    "Carlos F. Álvarez",
    "Marisa Cantarino"
  ],
  "comment": "15 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove the existence of measures of maximal entropy for partially hyperbolic endomorphisms with one-dimensional center bundle. We also address the uniqueness of such measures for certain endomorphisms defined on the $n$-torus. More precisely, we obtain a unique measure of maximal entropy -- locally in a $C^1$ neighborhood of a linear Anosov endomorphism, and globally with additional hypotheses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-12T20:33:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D35",
      "37D30"
    ],
    "keywords": [
      "partially hyperbolic endomorphisms",
      "maximal entropy",
      "uniqueness",
      "one-dimensional center bundle",
      "linear anosov endomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}