{
  "id": "cond-mat/0509042",
  "version": "v1",
  "published": "2005-09-01T19:46:59.000Z",
  "updated": "2005-09-01T19:46:59.000Z",
  "title": "Fluctuation-dissipation relations for complex networks",
  "authors": [
    "Agata Fronczak",
    "Piotr Fronczak",
    "Janusz A. Holyst"
  ],
  "comment": "9 pages, 2 figures",
  "journal": "Phys. Rev. E 73, 016108 (2006)",
  "doi": "10.1103/PhysRevE.73.016108",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "In the paper, we study fluctuations over several ensembles of maximum-entropy random networks. We derive several fluctuation-dissipation relations characterizing susceptibilities of different networks to changes in external fields. In the case of networks with a given degree sequence, we argue that the scale-free topologies of real-world networks may arise as a result of self-organization of real systems into sparse structures with low susceptibility to random external perturbations. We also show that the ensembles of networks with noninteracting links (both uncorrelated and with two-point correlations) are equivalent to random networks with hidden variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-01T19:46:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex networks",
      "fluctuation-dissipation relations characterizing susceptibilities",
      "random external perturbations",
      "maximum-entropy random networks",
      "hidden variables"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}