{
  "id": "cond-mat/0307744",
  "version": "v1",
  "published": "2003-07-30T17:37:01.000Z",
  "updated": "2003-07-30T17:37:01.000Z",
  "title": "Leadership Statistics in Random Structures",
  "authors": [
    "E. Ben-Naim",
    "P. L. Krapivsky"
  ],
  "comment": "5 pages, 3 figures",
  "journal": "Europhys. Lett. 65, 151 (2004)",
  "doi": "10.1209/epl/i2003-10081-7",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The largest component (``the leader'') in evolving random structures often exhibits universal statistical properties. This phenomenon is demonstrated analytically for two ubiquitous structures: random trees and random graphs. In both cases, lead changes are rare as the average number of lead changes increases quadratically with logarithm of the system size. As a function of time, the number of lead changes is self-similar. Additionally, the probability that no lead change ever occurs decays exponentially with the average number of lead changes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-30T17:37:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "leadership statistics",
      "average number",
      "changes increases",
      "occurs decays",
      "evolving random structures"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}