{
  "abstract": "We solve the robust ten martini problem: Cantor spectrum with no arithmetic restriction on the irrational frequency for Type I analytic one-frequency quasiperiodic Schrodinger operators. We introduce Type I through a new acceleration-type quantity with stability under analytic perturbations. This yields a global open class of analytic potentials whose associated operators have Cantor spectrum for every irrational frequency.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15812",
  "author_total": 3,
  "authors": [
    {
      "name": "Lingrui Ge"
    },
    {
      "name": "Svetlana Jitomirskaya"
    },
    {
      "name": "Jiangong You"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b3y82p6t3vgxh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15812",
  "fulltext_url": null,
  "id": "b3y82p6t3vgxh",
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  "landing_url": "https://arxiv.org/abs/2609.15812",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.DS"
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      "arxiv",
      "math.MP"
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      "arxiv",
      "math.SP"
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      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
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  "openalex": "W7213343279",
  "pdf_url": "https://arxiv.org/pdf/2609.15812",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b3y82p6t3vgxh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15812",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15812"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The Robust Ten Martini Problem",
  "title_text": "The Robust Ten Martini Problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/b3y82p6t3vgxh",
  "venue": "arXiv",
  "versions": []
}