{
  "abstract": "In this work, we extend results of Kakutani; Adler and Flatto; Smilansky; Pollicott and Sewell on the equidistribution of endpoints generated by interval-splitting procedures. We study a nonlinear version of the problem generated by a finite or countable family of $\\mathcal{C}^{1+ \\varepsilon}$ contractions and prove Lebesgue equidistribution under suitable nonlattice and thermodynamic regularity assumptions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.16156",
  "author_total": 1,
  "authors": [
    {
      "name": "Ignacio Rojas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/axc5e4qm3f03v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.16156",
  "fulltext_url": null,
  "id": "axc5e4qm3f03v",
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  "landing_url": "https://arxiv.org/abs/2605.16156",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7161592133",
  "pdf_url": "https://arxiv.org/pdf/2605.16156",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/axc5e4qm3f03v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2605.16156",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.16156"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "A nonlinear version of the $α$-Kakutani equidistribution problem",
  "title_text": "A nonlinear version of the α-Kakutani equidistribution problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/axc5e4qm3f03v",
  "venue": "arXiv",
  "versions": []
}