{
  "id": "1606.07476",
  "version": "v1",
  "published": "2016-06-23T21:03:01.000Z",
  "updated": "2016-06-23T21:03:01.000Z",
  "title": "An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs",
  "authors": [
    "Daniel Lenz",
    "Peter Stollmann",
    "Gunter Stolz"
  ],
  "comment": "27 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove a quantitative uncertainty principle at low energies for the Laplacian on fairly general weighted graphs with a uniform explicit control of the constants in terms of geometric quantities. A major step consists in establishing lower bounds for Dirichlet eigenvalues in terms of the geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-23T21:03:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirichlet laplacian",
      "major step consists",
      "uniform explicit control",
      "establishing lower bounds",
      "low energies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}