{
  "abstract": "We prove that the centered height function of the Airy$_β$ line ensemble converges for each $β>0$, under rescaling of space and time variables, towards the Gaussian free field in the half-plane. The conformal structure for GFF involves the spatial change of coordinate $x\\mapsto \\sqrt{-x}$. The $β$--dependence is isolated in the field rescaling by $\\sqrtβ$. For the proofs we study the asymptotic expansions of the moments of Laplace transforms of the Airy$_β$ line ensemble developed in our previous work with Xu.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05852",
  "author_total": 2,
  "authors": [
    {
      "name": "Vadim Gorin"
    },
    {
      "name": "Lingfu Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6zzck6amv8d4p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05852",
  "fulltext_url": null,
  "id": "6zzck6amv8d4p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05852",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05852",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6zzck6amv8d4p.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.05852",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05852"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Gaussian free field limit for the Airy$_β$ line ensemble",
  "title_text": "Gaussian free field limit for the Airy_β line ensemble",
  "type": "preprint",
  "updated_at": "2026-11-08T21:20:29Z",
  "url": "https://research.draconitic.com/paper/6zzck6amv8d4p",
  "venue": "arXiv",
  "versions": []
}