{
  "abstract": "Random spherical eigenfunctions for the Lalplace-Beltrami operator are well understood and their local behavior, after renormalization, is described by Berry's random wave model. In this paper we construct a family of random fields on the sphere $\\mathbb{S}^{3}$, identified with the group $SU(2)$, endowed with a sub-Riemannian structure. These fields are random eigenfunctions for the sub-Laplacian and they are constructed from matrix elements of unitary irreducible representations of $SU(2)$. We prove that the local behavior of such fields is the same as the Berry-Heisenberg random field on the Heisenberg group introduced in [10].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06218",
  "author_total": 2,
  "authors": [
    {
      "name": "Marco Carfagnini"
    },
    {
      "name": "Karwan Angulugaha Gamage"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ms9shdd0cj99.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06218",
  "fulltext_url": null,
  "id": "5ms9shdd0cj99",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06218",
  "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.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06218",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ms9shdd0cj99.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06218",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06218"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Random waves on sub-Riemannian $SU(2)$",
  "title_text": "Random waves on sub-Riemannian SU(2)",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/5ms9shdd0cj99",
  "venue": "arXiv",
  "versions": []
}