{
  "id": "1105.1493",
  "version": "v1",
  "published": "2011-05-08T06:11:48.000Z",
  "updated": "2011-05-08T06:11:48.000Z",
  "title": "Measurable Time-Restricted Sensitivity",
  "authors": [
    "Domenico Aiello",
    "Hansheng Diao",
    "Zhou Fan",
    "Daniel O. King",
    "Jessica Lin",
    "Cesar E. Silva"
  ],
  "journal": "Nonlinearity 25 (2012), no. 12, 3313-3325",
  "categories": [
    "math.DS"
  ],
  "abstract": "We develop two notions of time-restricted sensitivity to initial conditions for measurable dynamical systems, where the time before divergence of a pair of paths is at most an asymptotically logarithmic function of a measure of their initial distance. In the context of finite measure-preserving transformations on a compact space, we relate these notions to the metric entropy of the system. We examine one of these notions for classes of non-measure-preserving, nonsingular transformations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-08T06:11:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A05",
      "37F10"
    ],
    "keywords": [
      "measurable time-restricted sensitivity",
      "initial conditions",
      "metric entropy",
      "compact space",
      "finite measure-preserving transformations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.1493A"
    }
  }
}