{
  "id": "1909.05939",
  "version": "v1",
  "published": "2019-09-12T20:34:06.000Z",
  "updated": "2019-09-12T20:34:06.000Z",
  "title": "On the entropy norm on $Ham(S^2)$",
  "authors": [
    "Michael Brandenbursky",
    "Egor Shelukhin"
  ],
  "comment": "7 pages",
  "categories": [
    "math.GT",
    "math.GR",
    "math.SG"
  ],
  "abstract": "In this note we prove that for each positive integer $m$ there exists a bi-Lipschitz embedding $Z^m\\to Ham(S^2)$, where $Ham(S^2)$ is equipped with the entropy metric. In particular, the same result holds when the entropy metric is substituted with the autonomous metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-12T20:34:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entropy norm",
      "entropy metric",
      "result holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}