{
  "id": "cond-mat/0105556",
  "version": "v2",
  "published": "2001-05-29T11:10:00.000Z",
  "updated": "2001-06-01T11:04:05.000Z",
  "title": "Percolation and depinning transitions in cut-and-paste models of adaptation",
  "authors": [
    "R. D'Hulst",
    "G. J. Rodgers"
  ],
  "comment": "9 pages, 6 figures, submitted to publication should work with Ghostview, thanks Sid",
  "doi": "10.1016/S0378-4371(02)00555-1",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We show that a cut-and-paste model to mimic a trial-and-error process of adaptation displays two pairs of percolation and depinning transitions, one for persistence and the other for efficiency. The percolation transition signals the onset of a property and the depinning transition, the growth of the same property. Despite its simplicity, the cut-and-paste model is qualitatively the same as the Minority Game. A majority cut-and-paste model is also introduced, to mimic the spread of a trend. When both models are iterated, the majority model reaches a frozen state while the minority model converges towards an alternate state. We show that a transition from the frozen to the alternate state occurs in the limit of a non-adaptive system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-06-01T11:04:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "depinning transition",
      "majority cut-and-paste model",
      "alternate state occurs",
      "percolation transition signals",
      "majority model reaches"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}