{
  "abstract": "We show that the $γ$-LQG metric (appropriately re-normalized) for $γ\\in (0,2)$ converges in law to the critical 2-LQG metric (appropriately re-normalized) with respect to the local uniform topology of continuous functions on $\\mathbb{C} \\times \\mathbb{C}$. Combining with the results in arXiv:2509.15544, we obtain that the law of the $γ$-LQG metric (appropriately re-normalized) is continuous in $γ\\in [0,2]$ with respect to the local uniform topology of continuous functions on $\\mathbb{C} \\times \\mathbb{C}$, where the 0-LQG metric corresponds to the Euclidean metric on $\\mathbb{C}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29361",
  "author_total": 1,
  "authors": [
    {
      "name": "Konstantinos Kavvadias"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aczgsh5yxstwr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29361",
  "fulltext_url": null,
  "id": "aczgsh5yxstwr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29361",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7204947238",
  "pdf_url": "https://arxiv.org/pdf/2608.29361",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aczgsh5yxstwr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29361",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29361"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Convergence of the Subcritical $γ$-LQG Metric to the Critical 2-LQG Metric as $γ\\to 2$",
  "title_text": "Convergence of the Subcritical γ-LQG Metric to the Critical 2-LQG Metric as γ→ 2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/aczgsh5yxstwr",
  "venue": "arXiv",
  "versions": []
}