{
  "id": "2001.08265",
  "version": "v1",
  "published": "2020-01-22T20:25:47.000Z",
  "updated": "2020-01-22T20:25:47.000Z",
  "title": "Lipschitz regularity of the invariant measure and statistical properties for a class of random dynamical systems",
  "authors": [
    "D. Lima",
    "R. Lucena"
  ],
  "comment": "Comments and suggestions are welcome!! This is the first version, improvements are coming (specially typos corrections)",
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "We consider a class of Random Dynamical Systems and prove that its invariant measure has a Lipschitz disintegration. As a consequence, we prove exponential decay of correlations over regular observables. Both results are obtained as an application of spectral gap for its transfers operator which is also proved in the paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-22T20:25:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "37A10",
      "37C30",
      "37D50"
    ],
    "keywords": [
      "random dynamical systems",
      "invariant measure",
      "lipschitz regularity",
      "statistical properties",
      "lipschitz disintegration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}