{
  "annotation_id": "9f067b86-5702-44f9-83be-3060b13bfe77",
  "date_created": "2026-03-02T18:01:10.814000Z",
  "date_modified": "2026-03-02T18:01:10.814000Z",
  "file_hash": "5754c9358ac3f4dbd1aefa5a989c0cba467333966d4e216403b531a1415d56c1",
  "private": false,
  "record": {
    "abstract": "A motion of point vortices with periodic boundary conditions is studied by\nusing Weierstrass zeta functions. Scattering and recoupling of a vortex pair by\na third vortex becomes remarkable when the vortex density is large. Clustering\nof vortices with various initial conditions is quantitated by the $L$ function\nused in point process theory in spatial ecology. It is shown that clustering\npersists if it is initially clustered like an infinite row or a checkered\npattern.",
    "arxiv_id": "physics/0608266",
    "authors": [
      "Makoto Umeki"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1143/JPSJ.76.043401",
    "journal_ref": "JPSJ Vol. 76 No. 4 (2007) p. 043401",
    "title": "Clustering Analysis of Periodic Point Vortices with the $L$ Function",
    "url": "https://arxiv.org/abs/physics/0608266"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2c4c72a3-7f44-49a7-9cb0-eea7e178a878",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}