{
  "abstract": "We prove the transcendence of numbers that have $β$-expansions (in algebraic bases $β$) belonging to dendric shifts with pure discrete spectrum, under combinatorial conditions on their directive sequences of substitutions. This includes Arnoux-Rauzy sequences on arbitrary alphabets and Cassaigne-Selmer sequences. The proof uses Rauzy fractals and the subspace theorem.",
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  "arxiv": "2610.00856",
  "author_total": 2,
  "authors": [
    {
      "name": "Jihyuk Seo"
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    {
      "name": "Wolfgang Steiner"
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  "bibtex": "https://research.draconitic.com/paper/86k0d8t50k11b.bib",
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  "doi": "10.48550/arxiv.2610.00856",
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  "pdf_url": "https://arxiv.org/pdf/2610.00856",
  "pmcid": null,
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  "published": "2026-10-19",
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  "ris": "https://research.draconitic.com/paper/86k0d8t50k11b.ris",
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      "first_seen": "2026-10-30T12:34:08Z",
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
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    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
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  ],
  "title": "Transcendence of dendric beta-expansions with pure discrete spectrum",
  "title_text": "Transcendence of dendric beta-expansions with pure discrete spectrum",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:25Z",
  "url": "https://research.draconitic.com/paper/86k0d8t50k11b",
  "venue": "arXiv",
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}