{
  "id": "1802.06570",
  "version": "v1",
  "published": "2018-02-19T09:46:29.000Z",
  "updated": "2018-02-19T09:46:29.000Z",
  "title": "On the Stable Ergodicity of Berger-Carrasco's example",
  "authors": [
    "Davi Obata"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove the stable ergodicity of an example of a volume-preserving, partially hyperbolic diffeomorphism introduced by Pierre Berger and Pablo Carrasco. This example is robustly non-uniformly hyperbolic, with two dimensional center, almost every point has both positive and negative Lyapunov exponents along the center direction and does not admit a dominated splitting of the center direction. The main novelty of our proof is that we do not use accessibility.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-19T09:46:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stable ergodicity",
      "berger-carrascos example",
      "center direction",
      "pierre berger",
      "main novelty"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}