{
  "id": "1807.04857",
  "version": "v1",
  "published": "2018-07-12T23:05:00.000Z",
  "updated": "2018-07-12T23:05:00.000Z",
  "title": "Dimension theory for linear solenoids",
  "authors": [
    "Jörg Neunhäuserer"
  ],
  "journal": "Fractals, vol. 15, no. 1, 63-72, 2007",
  "categories": [
    "math.DS"
  ],
  "abstract": "We develop the dimension theory for a class of linear solenoids, which have a \"fractal\" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question whether there exists a measure of full dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-12T23:05:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C45",
      "28D20",
      "28A80"
    ],
    "keywords": [
      "linear solenoids",
      "dimension theory",
      "ergodic measures",
      "full dimension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}