{
  "id": "1402.4399",
  "version": "v3",
  "published": "2014-02-18T16:47:06.000Z",
  "updated": "2014-10-30T17:18:28.000Z",
  "title": "Polynomial loss of memory for maps of the interval with a neutral fixed point",
  "authors": [
    "R. Aimino",
    "H. Hu",
    "M. Nicol",
    "A. Torok",
    "S. Vaienti"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for the upper rate of memory loss. The maps may be chosen in any sequence, and the bound holds for all compositions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-09T17:27:54.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-30T17:18:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neutral fixed point",
      "polynomial loss",
      "uniform bound holds",
      "polynomial rate",
      "memory loss"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4399A"
    }
  }
}