{
  "id": "1503.04319",
  "version": "v1",
  "published": "2015-03-14T16:29:33.000Z",
  "updated": "2015-03-14T16:29:33.000Z",
  "title": "Disintegration of Invariant Measures for Hyperbolic Skew Products",
  "authors": [
    "Oliver Butterley",
    "Ian Melbourne"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study hyperbolic skew products and the disintegration of the SRB measure into measures supported on local stable manifolds. Such a disintegration gives a method for passing from an observable $v$ on the skew product to an observable $\\bar v$ on the system quotiented along stable manifolds. Under mild assumptions on the system we prove that the disintegration preserves the smoothness of $v$, firstly in the case where $v$ is H\\\"older and secondly in the case where $v$ is $\\mathcal{C}^{1}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-14T16:29:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "37C30"
    ],
    "keywords": [
      "invariant measures",
      "study hyperbolic skew products",
      "local stable manifolds",
      "disintegration preserves",
      "mild assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150304319B"
    }
  }
}