{
  "id": "1408.5453",
  "version": "v1",
  "published": "2014-08-23T03:16:08.000Z",
  "updated": "2014-08-23T03:16:08.000Z",
  "title": "Fast-slow partially hyperbolic systems: beyond averaging. Part I (Limit Theorems)",
  "authors": [
    "Jacopo De Simoi",
    "Carlangelo Liverani"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove several limit theorems for a simple class of partially hyperbolic fast-slow systems. We start with some well know results on averaging, then we give a substantial refinement of known large (and moderate) deviation results and conclude with a completely new result (a local limit theorem) on the distribution of the process determined by the fluctuations around the average. The method of proof is based on a mixture of standard pairs and Transfer Operators that we expect to be applicable in a much wider generality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-23T03:16:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "37C30",
      "37D30",
      "37A50",
      "60F17"
    ],
    "keywords": [
      "fast-slow partially hyperbolic systems",
      "partially hyperbolic fast-slow systems",
      "local limit theorem",
      "substantial refinement",
      "deviation results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.5453D"
    }
  }
}