{
  "id": "2010.07197",
  "version": "v1",
  "published": "2020-10-14T16:08:47.000Z",
  "updated": "2020-10-14T16:08:47.000Z",
  "title": "Analogues of Khintchine's theorem for random attractors",
  "authors": [
    "Simon Baker",
    "Sascha Troscheit"
  ],
  "categories": [
    "math.DS",
    "math.MG",
    "math.NT",
    "math.PR"
  ],
  "abstract": "In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine approximation to hold almost surely for stochastically self-similar and self-affine random iterated function systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-14T16:08:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "khintchines theorem",
      "random attractors",
      "study random iterated function systems",
      "self-affine random iterated function systems",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}