{
  "id": "2103.14018",
  "version": "v1",
  "published": "2021-03-25T17:54:08.000Z",
  "updated": "2021-03-25T17:54:08.000Z",
  "title": "The scenery flow of self-similar measures with weak separation condition",
  "authors": [
    "Aleksi Pyörälä"
  ],
  "comment": "21 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that self-similar measures on $\\mathbb{R}^d$ satisfying the weak separation condition are uniformly scaling. Our approach combines elementary ergodic theory with geometric analysis of the structure given by the weak separation condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-25T17:54:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A10",
      "28A80",
      "28D05"
    ],
    "keywords": [
      "weak separation condition",
      "self-similar measures",
      "scenery flow",
      "elementary ergodic theory",
      "geometric analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}