{
  "id": "2003.12892",
  "version": "v1",
  "published": "2020-03-28T21:28:47.000Z",
  "updated": "2020-03-28T21:28:47.000Z",
  "title": "Inexistence of sublinear diffusion for a class of torus homeomorphisms",
  "authors": [
    "Guilherme Silva Salomão",
    "Fabio Armando Tal"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that, if $f$ is a homeomorphism of the two torus isotopic to the identity whose rotation set is a non-degenerate segment and $f$ has a periodic point, then it has uniformly bounded deviations in the direction perpendicular to the segment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-28T21:28:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "37E45"
    ],
    "keywords": [
      "torus homeomorphisms",
      "sublinear diffusion",
      "inexistence",
      "rotation set",
      "direction perpendicular"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}