{
  "abstract": "The goal of this article is to expand on the relationship between random matrix and multiplicative chaos theories using the integrability properties of the circular $$\\beta $$ β -ensembles. We obtain the multiplicative chaos convergence for the characteristic polynomial and eigenvalue counting function of the circular $$\\beta $$ β -ensembles throughout the subcritical phase, including negative powers. This generalizes recent results in the unitary case, [8, 40], to any $$\\beta >0$$ β > 0 and for the eigenvalue counting field.",
  "abstract_shown": true,
  "affiliations": [
    "KTH Royal Institute of technology, Matematik, Stockholm, Sweden",
    "University of Bristol, School of Mathematics, Bristol, UK"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Gaultier Lambert",
      "orcid": "0000-0001-5260-2239"
    },
    {
      "affs": [
        1
      ],
      "name": "Joseph Najnudel",
      "orcid": "0000-0001-6132-1455"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3kwax5cp8aspc.bib",
  "cited_by": 14,
  "doi": "10.1007/s00440-026-01501-0",
  "fulltext_url": null,
  "id": "3kwax5cp8aspc",
  "issns": [
    "0178-8051",
    "1432-2064"
  ],
  "landing_url": "https://doi.org/10.1007/s00440-026-01501-0",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2613|Random Matrices and Applications"
    ]
  ],
  "openalex": "W4401202084",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00440-026-01501-0.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-28",
  "publisher": "Springer Science+Business Media",
  "ris": "https://research.draconitic.com/paper/3kwax5cp8aspc.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T13:20:36Z",
      "native_id": "W4401202084",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00440-026-01501-0"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2613|Random Matrices and Applications",
      "subfield": "statistics"
    }
  ],
  "title": "Subcritical multiplicative chaos and the characteristic polynomial of the C$$\\beta $$E",
  "title_text": "Subcritical multiplicative chaos and the characteristic polynomial of the CβE",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:36Z",
  "url": "https://research.draconitic.com/paper/3kwax5cp8aspc",
  "venue": "Probability Theory and Related Fields",
  "versions": []
}