{
  "annotation_id": "4e584318-642b-4462-ac74-fc370cbe31b0",
  "date_created": "2026-03-02T18:00:38.907000Z",
  "date_modified": "2026-03-02T18:00:38.907000Z",
  "file_hash": "a39ffe25b50bb712b152eccdf856a1bfc757eb4520afbb18d7efd610c1e0d7e0",
  "private": false,
  "record": {
    "abstract": "The problem of splitting effects by vertex angles is discussed for\nnonintegrable rational polygonal billiards. A statistical analysis of the decay\ndynamics in weakly open polygons is given through the orbit survival\nprobability. Two distinct channels for the late-time relaxation of type\n1/t^delta are established. The primary channel, associated with the universal\nrelaxation of \u0027\u0027regular\u0027\u0027 orbits, with delta = 1, is common for both the closed\nand open, chaotic and nonchaotic billiards. The secondary relaxation channel,\nwith delta \u003e 1, is originated from \u0027\u0027irregular\u0027\u0027 orbits and is due to the\nrationality of vertices.",
    "arxiv_id": "physics/0208063",
    "authors": [
      "Valery B. Kokshenev",
      "Eduardo Vicentini"
    ],
    "categories": [
      "physics.data-an"
    ],
    "doi": "10.1103/PhysRevE.68.016221",
    "title": "Slow relaxation in weakly open vertex-splitting rational polygons",
    "url": "https://arxiv.org/abs/physics/0208063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "31aa101a-c848-49f0-abc2-e06058f7e772",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}