{
  "abstract": "We prove a large deviation principle for the area of a two-pointed weight-$W$ quantum disk conditioned to have left boundary length one, where $0<W<2$ is fixed and $γ\\downarrow0$ without a subsequence restriction. Conformal welding and the one-block mating-of-trees law give independent Brownian blocks and a recursive area decomposition. Growing moments and negative Laplace transforms lead to two Hamilton--Jacobi equations, whose characteristic solutions determine the limiting transforms. Direct comparison proves moment convergence; compact-interval comparison and a change of measure prove Laplace convergence. The resulting good rate function is specified by scalar endpoint equations and is elementary when $W=1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02531",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuchen Fan"
    },
    {
      "name": "Zhenfeng Tu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/52ktj6vjh2x6m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02531",
  "fulltext_url": null,
  "id": "52ktj6vjh2x6m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02531",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7220439409",
  "pdf_url": "https://arxiv.org/pdf/2610.02531",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/52ktj6vjh2x6m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2610.02531",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02531"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Large Deviation Principles for Area of Quantum Disks with Unit Left Boundary Length",
  "title_text": "Large Deviation Principles for Area of Quantum Disks with Unit Left Boundary Length",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/52ktj6vjh2x6m",
  "venue": "arXiv",
  "versions": []
}