{
  "id": "1803.07882",
  "version": "v1",
  "published": "2018-03-21T12:27:29.000Z",
  "updated": "2018-03-21T12:27:29.000Z",
  "title": "Doubly stochastic operators with zero entropy",
  "authors": [
    "Bartosz Frej",
    "Dawid Huczek"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "We study doubly stochastic operators with zero entropy. We generalize three famous theorems: the Rokhlin's theorem on genericity of zero entropy, the Kushnirenko's theorem on equivalence of discrete spectrum and nullity and the Halmos-von Neumann's theorem on representation of maps with discrete spectrum as group rotations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-21T12:27:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30",
      "28D20",
      "47A35"
    ],
    "keywords": [
      "zero entropy",
      "discrete spectrum",
      "study doubly stochastic operators",
      "halmos-von neumanns theorem",
      "kushnirenkos theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}