{
  "id": "cond-mat/0211518",
  "version": "v1",
  "published": "2002-11-24T17:15:04.000Z",
  "updated": "2002-11-24T17:15:04.000Z",
  "title": "Mesoscopics and fluctuations in networks",
  "authors": [
    "S. N. Dorogovtsev",
    "A. N. Samukhin"
  ],
  "comment": "3 pages, 1 figure",
  "journal": "Phys. Rev. E 67, 037103 (2003)",
  "doi": "10.1103/PhysRevE.67.037103",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We describe fluctuations in finite-size networks with a complex distribution of connections, $P(k)$. We show that the spectrum of fluctuations of the number of vertices with a given degree is Poissonian. These mesoscopic fluctuations are strong in the large-degree region, where $P(k) \\lesssim 1/N$ ($N$ is the total number of vertices in a network), and are important in networks with fat-tailed degree distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-24T17:15:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex distribution",
      "total number",
      "large-degree region",
      "fat-tailed degree distributions",
      "mesoscopic fluctuations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}