{
  "id": "1408.5454",
  "version": "v1",
  "published": "2014-08-23T03:43:23.000Z",
  "updated": "2014-08-23T03:43:23.000Z",
  "title": "Fast-slow partially hyperbolic systems: beyond averaging. Part II (Statistical Properties)",
  "authors": [
    "Jacopo De Simoi",
    "Carlangelo Liverani"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a class of $\\mathcal C^{4}$ partially hyperbolic systems on $\\mathbb T^2$ given by $\\varepsilon$-perturbations of maps $F(x,\\theta)=(f(x,\\theta),\\theta)$ where $f(\\cdot,\\theta)$ are $\\mathcal C^{4}$ expanding maps of the circle. For sufficiently small $\\varepsilon$ and an open set of perturbations we prove existence and uniqueness of a SRB measure and exponential decay of correlation for H\\\"older observables with explicit bounds on the decay rate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-23T03:43:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "37C30",
      "37D30",
      "37A50",
      "60F17"
    ],
    "keywords": [
      "fast-slow partially hyperbolic systems",
      "statistical properties",
      "perturbations",
      "decay rate",
      "open set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.5454D"
    }
  }
}