{
  "abstract": "We study the large-$N$ asymptotics of ratios of Lukyanov integrals for fixed real coupling $b\\geq1$. Our approach uses their biorthogonal ensemble structure and vector Riemann--Hilbert techniques. Under stated analytic hypotheses, we derive the logarithmic ratio through its constant term, which is expressed by a Fredholm determinant. The expansion is locally uniform in the real parameter $α$ and is formulated separately for even and odd particle numbers. We verify the hypotheses for the correction defined by the physical ground-state thermodynamic Bethe ansatz. The relation to quantum-field-theoretic one-point functions is discussed separately.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00662",
  "author_total": 1,
  "authors": [
    {
      "name": "Dong Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c2djc2sq9q7x2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00662",
  "fulltext_url": null,
  "id": "c2djc2sq9q7x2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00662",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00662",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c2djc2sq9q7x2.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00662",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00662"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Large $N$ limit of the ratio of Lukyanov integrals",
  "title_text": "Large N limit of the ratio of Lukyanov integrals",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/c2djc2sq9q7x2",
  "venue": "arXiv",
  "versions": []
}