{
  "id": "cond-mat/0105473",
  "version": "v1",
  "published": "2001-05-24T11:22:30.000Z",
  "updated": "2001-05-24T11:22:30.000Z",
  "title": "Preferential growth: Solution and application to modeling stock market",
  "authors": [
    "L. Kullmann",
    "J. Kertesz"
  ],
  "comment": "7 pages, 4 figures, (submitted to Physica A)",
  "doi": "10.1016/S0378-4371(01)00286-2",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a probability proportional to the size thereof. We calculate exactly the probability P_i(k,t) that the size of the i-th cluster at time t is k. We applied our model as a background for a microscopic economic model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-24T11:22:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modeling stock market",
      "application",
      "microscopic economic model",
      "preferential growth model",
      "i-th cluster"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}