{
  "id": "2410.20994",
  "version": "v1",
  "published": "2024-10-28T13:17:32.000Z",
  "updated": "2024-10-28T13:17:32.000Z",
  "title": "Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems",
  "authors": [
    "A. Korepanov",
    "J. Leppänen"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study nonstationary dynamical systems formed by sequential concatenation of nonuniformly expanding maps with a uniformly expanding first return map. Assuming a polynomially decaying upper bound on the tails of first return times that is nonuniform with respect to location in the sequence, we derive a corresponding sharp polynomial rate of memory loss. As applications, we obtain new estimates on the rate of memory loss for random ergodic compositions of Pomeau--Manneville type intermittent maps and intermittent maps with unbounded derivatives.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-28T13:17:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonstationary intermittent dynamical systems",
      "memory loss",
      "polynomial rate",
      "expanding first return map",
      "nonstationary dynamical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}