{
  "abstract": "Answering a question of Madill and Rampersad, we give an example a of a $2$-automatic sequence whose abelian complexity is not $2$-regular.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03837",
  "author_total": 5,
  "authors": [
    {
      "name": "Jean-Paul Allouche"
    },
    {
      "name": "Narad Rampersad"
    },
    {
      "name": "Michel Rigo"
    },
    {
      "name": "Jeffrey Shallit"
    },
    {
      "name": "Manon Stipulanti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8v2b7mjcdhvf5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03837",
  "fulltext_url": null,
  "id": "8v2b7mjcdhvf5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03837",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.DM"
    ],
    [
      "arxiv",
      "cs.FL"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|semigroups and automata theory"
    ]
  ],
  "openalex": "W7220741516",
  "pdf_url": "https://arxiv.org/pdf/2610.03837",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8v2b7mjcdhvf5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.03837",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03837"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An example of an automatic sequence with non-regular abelian complexity",
  "title_text": "An example of an automatic sequence with non-regular abelian complexity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/8v2b7mjcdhvf5",
  "venue": "arXiv",
  "versions": []
}