{
  "abstract": "We study determinantal planar Coulomb gases with a smooth radial potential, a smooth radial perturbation, jump-type singularities (including the bulk, semi-hard, hard, and soft-edge regimes), and a hard wall region given by a centered disk, a disk complement, or an annulus. We obtain explicit asymptotic expansions of the partition functions up to and including the term of order $1$. Our results unify and generalize many of the earlier works.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25307",
  "author_total": 1,
  "authors": [
    {
      "name": "Kohei Noda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4zpg4gjmmkb9p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25307",
  "fulltext_url": null,
  "id": "4zpg4gjmmkb9p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25307",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2613|Random Matrices and Applications"
    ]
  ],
  "openalex": "W7214081860",
  "pdf_url": "https://arxiv.org/pdf/2609.25307",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4zpg4gjmmkb9p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25307",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25307"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Asymptotics for partition functions of random normal matrix models with singularities",
  "title_text": "Asymptotics for partition functions of random normal matrix models with singularities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/4zpg4gjmmkb9p",
  "venue": "arXiv",
  "versions": []
}