{
  "annotation_id": "36925bbd-7668-4dc4-9883-20f576c539dd",
  "date_created": "2026-02-17T05:53:15.165000Z",
  "date_modified": "2026-02-17T05:53:15.165000Z",
  "file_hash": "f918af36d1d649f51f6a643822fab464b5b33c433315c899ec71fa5e9b51fb58",
  "private": false,
  "record": {
    "abstract": "We study in this paper the weak propagation of chaos for McKean--Vlasov diffusions with branching, whose induced marginal measures are nonnegative finite measures but not necessary probability measures. The flow of marginal measures satisfies a non-linear Fokker--Planck equation, along which we provide a functional It\\^o\u0027s formula. We then consider a functional of the terminal marginal measure of the branching process, whose conditional value is solution to a Kolmogorov backward master equation. By using It\\^o\u0027s formula and based on the estimates of second-order linear and intrinsic functional derivatives of the value function, we finally derive a quantitative weak convergence rate for the empirical measures of the branching diffusion processes with finite population.",
    "arxiv_id": "2601.08330",
    "authors": [
      "Wenjing Cao",
      "Zhenjie Ren",
      "Xiaolu Tan"
    ],
    "categories": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Quantitative weak propagation of chaos for McKean--Vlasov branching diffusion processes",
    "url": "https://arxiv.org/abs/2601.08330",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b60bcf0-ca6c-459a-a53d-0ea844bd0769",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}