{
  "annotation_id": "ff118c82-1553-4a90-a31c-bdfd4d81c243",
  "date_created": "2026-03-02T18:00:28.837000Z",
  "date_modified": "2026-03-02T18:00:28.837000Z",
  "file_hash": "7c33bcb532e6738fe4346c99542cfe1c063a7e6eb378384943b50a1fac9e0454",
  "private": false,
  "record": {
    "abstract": "We repeat the numerical experiments for diffusion limited aggregation (DLA)\nand show that there is a potentially infinite set of conserved quantities for\nthe long time asymptotics. We connect these observations with the exact\nintegrability of the continuum limit of the DLA (quasi-static Stefan problem).\nThe conserved quantities of the Stefan problem (harmonic moments) when\ndiscretized are our conserved quantities. These numerical experiments show that\nthe exact integrability of the Stefan problem may be continued beyond the\nformation of cusps in the moving boundary.",
    "arxiv_id": "patt-sol/9412001",
    "authors": [
      "Mark B. Mineev-Weinstein",
      "Ronnie Mainieri"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.72.880",
    "title": "Observation of Conservations Laws in Diffusion Limited Aggregation",
    "url": "https://arxiv.org/abs/patt-sol/9412001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "de6e0414-0b3b-494a-98ef-63070510c1f7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}