{
  "id": "1607.05168",
  "version": "v1",
  "published": "2016-07-18T16:32:31.000Z",
  "updated": "2016-07-18T16:32:31.000Z",
  "title": "Evaluation of Spectral Zeta-Functions with the Renormalization Group",
  "authors": [
    "Stefan Boettcher",
    "Shanshan Li"
  ],
  "comment": "22 pages, 5 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We evaluate spectral zeta-functions of certain network Laplacians that can be treated exactly with the renormalization group. As specific examples we consider a class of Hanoi networks and those hierarchical networks obtained by the Migdal-Kadanoff bond moving scheme from regular lattices. These results are applied to synchronization and to quantum search algorithms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-18T16:32:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "renormalization group",
      "evaluation",
      "quantum search algorithms",
      "migdal-kadanoff bond moving scheme",
      "evaluate spectral zeta-functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}