{
  "abstract": "We classify the finite algebras $\\mathbf{A}$ for which there is no value $p$ satisfying $\\frac{1}{|A|}<p<1$ in the equational probability spectrum of $\\mathbf{A}$. We will use the classification to determine which finite algebras have minimal equational probability spectrum. In our final section, we explore the relationship, for finite algebras, between the properties of (i)~having a finite equational probability spectrum and (ii)~being an abelian algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37841",
  "author_total": 3,
  "authors": [
    {
      "name": "Carles Cardó"
    },
    {
      "name": "Keith A. Kearnes"
    },
    {
      "name": "Ágnes Szendrei"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9w1rcb8wjbnna.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37841",
  "fulltext_url": null,
  "id": "9w1rcb8wjbnna",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37841",
  "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.LO"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "arxiv",
      "math.RA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.37841",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9w1rcb8wjbnna.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.37841",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37841"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Finite algebras whose equational probability spectrum contains a big gap",
  "title_text": "Finite algebras whose equational probability spectrum contains a big gap",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/9w1rcb8wjbnna",
  "venue": "arXiv",
  "versions": []
}