{
  "abstract": "We study the inverse-weight Lin--Lu--Yau Ricci flow on finite trees, and prove the convergence of the curvature on every edge via its diffusion equation. Moreover, the limiting curvature is the unique minimum-norm point of a polyhedron determined by the tree. We characterize possible limits of the normalized edge weights, give criteria for their convergence, and show that different positive initial metrics have equivalent omega-limit sets.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04671",
  "author_total": 2,
  "authors": [
    {
      "name": "Shuliang Bai"
    },
    {
      "name": "Bobo Hua"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e4prhf9dzf5s1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04671",
  "fulltext_url": null,
  "id": "e4prhf9dzf5s1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04671",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7211894681",
  "pdf_url": "https://arxiv.org/pdf/2609.04671",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e4prhf9dzf5s1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.04671",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04671"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Curvature Diffusion of Inverse-weight Lin--Lu--Yau Ricci Flow on Finite Trees",
  "title_text": "Curvature Diffusion of Inverse-weight Lin--Lu--Yau Ricci Flow on Finite Trees",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/e4prhf9dzf5s1",
  "venue": "arXiv",
  "versions": []
}