{
  "abstract": "We study the orbit lengths of the integer map defined by the strict Fibonacci successor $\\mathcal{D}(n)=\\min\\{F_{k}:F_{k}>n\\}$ and its complement $\\mathcal{R}(n)=\\mathcal{D}(n)-n$. If $F_{k-1}\\le n",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Moïse Basse"
    },
    {
      "name": "El Hadji Deme"
    },
    {
      "name": "Mohamed Ben Fraj Ben Maaouia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b8ej9h57pdsm0.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "b8ej9h57pdsm0",
  "issns": [],
  "landing_url": "https://hal.science/hal-05855838v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-nt"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05855838/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b8ej9h57pdsm0.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:20:29Z",
      "native_id": "hal-05855838",
      "source": "hal",
      "url": "https://hal.science/hal-05855838v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-nt",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Orbit-Length Statistics for a Fibonacci Successor-Complement Map and a Recurrence-Based Generalization",
  "title_text": "Orbit-Length Statistics for a Fibonacci Successor-Complement Map and a Recurrence-Based Generalization",
  "type": "preprint",
  "updated_at": "2026-11-09T12:20:29Z",
  "url": "https://research.draconitic.com/paper/b8ej9h57pdsm0",
  "venue": "HAL",
  "versions": []
}