{
  "id": "2210.10932",
  "version": "v1",
  "published": "2022-10-20T00:02:08.000Z",
  "updated": "2022-10-20T00:02:08.000Z",
  "title": "A note on equivalences between various mixing scales",
  "authors": [
    "Bohan Zhou"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this note, we provide with a simple example to show a defect in the definition of the geometric mixing scale, and then introduce an improved scale, called as the strong geometric mixing scale. The main theorem in this note is the equivalence between geometric mixing scale, strong geometric mixing scale and functional mixing scale, in the sense of weak convergences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-20T00:02:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76R50",
      "37A25",
      "46E35",
      "65K10"
    ],
    "keywords": [
      "strong geometric mixing scale",
      "equivalence",
      "simple example",
      "main theorem",
      "functional mixing scale"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}