{
  "id": "2203.15240",
  "version": "v1",
  "published": "2022-03-29T05:13:30.000Z",
  "updated": "2022-03-29T05:13:30.000Z",
  "title": "On bifurcation of statistical properties of partially hyperbolic endomorphisms",
  "authors": [
    "Masato Tsujii",
    "Zhiyuan Zhang"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give an example of a path-wise connected open set of $C^\\infty$ partially hyperbolic endomorphisms on the $2$-torus, on which the SRB measure exists for each system and varies smoothly depending on the system, while the sign of its central Lyapunov exponent does change.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-29T05:13:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "37C40",
      "37D30"
    ],
    "keywords": [
      "partially hyperbolic endomorphisms",
      "statistical properties",
      "bifurcation",
      "central lyapunov exponent",
      "path-wise connected open set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}