{
  "annotation_id": "98f9dcc2-e12c-4d11-868e-edced1daa717",
  "date_created": "2026-03-02T18:00:57.095000Z",
  "date_modified": "2026-03-02T18:00:57.095000Z",
  "file_hash": "5c8018dd50af7d53b10399a751aca6c71a82cd69797c64a198971b79568b693c",
  "private": false,
  "record": {
    "abstract": "Complex systems can be characterized by classes of equivalency of their\nelements defined according to system specific rules. We propose a generalized\npreferential attachment model to describe the class size distribution. The\nmodel postulates preferential growth of the existing classes and the steady\ninflux of new classes. We investigate how the distribution depends on the\ninitial conditions and changes from a pure exponential form for zero influx of\nnew classes to a power law with an exponential cutoff form when the influx of\nnew classes is substantial. We apply the model to study the growth dynamics of\npharmaceutical industry.",
    "arxiv_id": "physics/0502082",
    "authors": [
      "Kazuko Yamasaki",
      "Kaushik Matia",
      "Dongfeng Fu",
      "Sergey V. Buldyrev",
      "Fabio Pammolli",
      "Massimo Riccaboni",
      "H. Eugene Stanley"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "title": "A Generalized Preferential Attachment Model for Complex Systems",
    "url": "https://arxiv.org/abs/physics/0502082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd1a5a96-ba20-4a54-9f15-a86cc6f54ae5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}