{
  "annotation_id": "f6b92286-4458-4432-a803-ce4849d255f7",
  "date_created": "2026-03-02T18:02:51.353000Z",
  "date_modified": "2026-03-02T18:02:51.353000Z",
  "file_hash": "1d57ca53fd38fb2207baa0c900a1139cc881a2c9d833ac1f5d5f19d9bbbf41ae",
  "private": false,
  "record": {
    "abstract": "The small t asymptotics of a class of solutions to the 2D cylindrical Toda\nequations is computed. The solutions, q_k(t), have the representation q_k(t) =\nlog det(I-lambda K_k) - log det(I-lambda K_{k-1}) where K_k are integral\noperators. This class includes the n-periodic cylindrical Toda equations. For\nn=2 our results reduce to the previously computed asymptotics of the 2D radial\nsinh-Gordon equation and for n=3 (and with an additional symmetry contraint)\nthey reduce to earlier results for the radial Bullough-Dodd equation.",
    "arxiv_id": "solv-int/9701003",
    "authors": [
      "C. A. Tracy",
      "H. Widom"
    ],
    "categories": [
      "solv-int",
      "funct-an",
      "math.FA",
      "nlin.SI"
    ],
    "doi": "10.1007/s002200050257",
    "journal_ref": "Commun. Math. Phys 190 (1998) 697-721",
    "title": "Asymptotics of a Class of Solutions to the Cylindrical Toda Equations",
    "url": "https://arxiv.org/abs/solv-int/9701003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b4e0a5e9-32ae-48d6-8d30-6e4e855c44a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}