{
  "annotation_id": "224166a0-4219-43c0-ac8e-6b4d4e668bde",
  "date_created": "2026-02-17T05:53:05.104000Z",
  "date_modified": "2026-02-17T05:53:05.104000Z",
  "file_hash": "40d08cb1490ba7d3a6f15ac80621b6815048e36bbe950b5122a9b591daab0844",
  "private": false,
  "record": {
    "abstract": "We prove an invariance principle for a general class of continuous time critical branching processes with finite variance (non-local) branching mechanism. We show that the genealogical trees, viewed as random compact metric measure spaces, converge under rescaling to the Brownian continuum random tree in the Gromov-Hausdorff-weak topology, establishing a universal scaling limit for critical finite variance branching processes.",
    "arxiv_id": "2601.05906",
    "authors": [
      "Emma Horton",
      "Ellen Powell"
    ],
    "categories": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Convergence to the Brownian CRT for critical branching Markov processe",
    "url": "https://arxiv.org/abs/2601.05906",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ce6086b-54ba-4981-aa2a-5e0745f77769",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}