{
  "abstract": "On the set $\\mathbb{YF}_n$ of words in $1$ and $2$ with digit sum $n$, we consider the probability distribution $μ_P$, corresponding to the Plancherel measure on paths in the Young--Fibonacci graph. We study the asymptotics as $n$ grows of the entropy of the distribution $μ_P$ and of the minimum number of words on which $μ_P$ is almost entirely concentrated.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06585",
  "author_total": 1,
  "authors": [
    {
      "name": "Vsevolod Evtushevsky"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/81m03dgn9dq72.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06585",
  "fulltext_url": null,
  "id": "81m03dgn9dq72",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06585",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7220734134",
  "pdf_url": "https://arxiv.org/pdf/2610.06585",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/81m03dgn9dq72.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06585",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06585"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "On how many Fibonacci words is the Plancherel measure concentrated",
  "title_text": "On how many Fibonacci words is the Plancherel measure concentrated",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/81m03dgn9dq72",
  "venue": "arXiv",
  "versions": []
}