{
  "abstract": "We show that limit-periodic Jacobi matrices in the weak exponential class $EC(η)$ have purely absolutely continuous spectral type when $η$ is sufficiently large, depending only on the $R$-boundedness constant. The proof first establishes homogeneity of the spectrum from the weak exponential approximation rate. A closure theorem for reflectionless Jacobi matrices then transfers reflectionlessness from the periodic approximants to the limit, and a theorem of Poltoratski and Remling rules out singular spectrum on a homogeneous set.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19416",
  "author_total": 1,
  "authors": [
    {
      "name": "Moises Gomez Solis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4dewx1zcmewc4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19416",
  "fulltext_url": null,
  "id": "4dewx1zcmewc4",
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  "landing_url": "https://arxiv.org/abs/2610.19416",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.MP"
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      "arxiv",
      "math.SP"
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      "2610|Spectral Theory in Mathematical Physics"
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  "openalex": "W7222265878",
  "pdf_url": "https://arxiv.org/pdf/2610.19416",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4dewx1zcmewc4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.19416",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19416"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "A note on the A.C. spectrum of limit-periodic Jacobi matrices",
  "title_text": "A note on the A.C. spectrum of limit-periodic Jacobi matrices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/4dewx1zcmewc4",
  "venue": "arXiv",
  "versions": []
}