{
  "id": "1510.02748",
  "version": "v1",
  "published": "2015-10-09T17:36:00.000Z",
  "updated": "2015-10-09T17:36:00.000Z",
  "title": "Quasistatic dynamics with intermittency",
  "authors": [
    "Juho Leppänen",
    "Mikko Stenlund"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We study an intermittent quasistatic dynamical system composed of nonuniformly hyperbolic Pomeau--Manneville maps with time-dependent parameters. We prove an ergodic theorem which shows almost sure convergence of time averages in a certain parameter range, and identify the unique physical family of measures. The theorem also shows convergence in probability in a larger parameter range. In the process, we establish other results that will be useful for further analysis of the statistical properties of the model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-09T17:36:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C60",
      "37D25",
      "37A10",
      "37A30"
    ],
    "keywords": [
      "quasistatic dynamics",
      "intermittency",
      "larger parameter range",
      "intermittent quasistatic dynamical system",
      "nonuniformly hyperbolic pomeau-manneville maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002748L"
    }
  }
}