{
  "abstract": "We study critical Gibbs partitions whose component law is in the domain of attraction of a spectrally positive stable law of index one. In the dense phase, we prove a local limit theorem for the number of components and functional limits for their sizes. We also describe convergent and divergent condensation regimes, and a phase transition at a boundary in which the dense and condensation contributions compete.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05285",
  "author_total": 2,
  "authors": [
    {
      "name": "Fabien Baeriswyl"
    },
    {
      "name": "Benedikt Stufler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2b8ac2pk3887w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05285",
  "fulltext_url": null,
  "id": "2b8ac2pk3887w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05285",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05285",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2b8ac2pk3887w.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05285",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05285"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "The Critical Cauchy Boundary for Gibbs Partitions",
  "title_text": "The Critical Cauchy Boundary for Gibbs Partitions",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/2b8ac2pk3887w",
  "venue": "arXiv",
  "versions": []
}