{
  "id": "1501.00085",
  "version": "v1",
  "published": "2014-12-31T07:05:19.000Z",
  "updated": "2014-12-31T07:05:19.000Z",
  "title": "Quasicrystals with discrete support and spectrum",
  "authors": [
    "Nir Lev",
    "Alexander Olevskii"
  ],
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We proved recently that a measure on R, whose support and spectrum are both uniformly discrete sets, must have a periodic structure. Here we show that this is not the case if the support and the spectrum are just discrete closed sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-31T07:05:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete support",
      "quasicrystals",
      "discrete closed sets",
      "periodic structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150100085L"
    }
  }
}