{
  "id": "1909.04297",
  "version": "v1",
  "published": "2019-09-10T05:20:08.000Z",
  "updated": "2019-09-10T05:20:08.000Z",
  "title": "Kakutani equivalence for products of some special flows over rotations",
  "authors": [
    "Daren Wei"
  ],
  "comment": "23 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study Kakutani equivalence for products of some special flows over rotations with roof function smooth except a singularity at $0\\in\\mathbb{T}$. We estimate the Kakutani invariant for product of these flows with different powers of singularities and rotations from a full measure set. As a corollary, we obtain a countable family of pairwise non-Kakutani equivalent products of special flows over rotations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-10T05:20:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special flows",
      "study kakutani equivalence",
      "roof function smooth",
      "pairwise non-kakutani equivalent products",
      "full measure set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}