{
  "abstract": "We study one-dimensional quasiperiodic operators with $α$-Hölder monotone potentials and long-range hopping satisfying $|T(x,y)|\\leq \\varepsilon e^{-ρ|x-y|}$. Under an explicit smallness condition on $\\varepsilon$, we establish uniform Anderson localization for such operators in the regime $ρ>αβ$, where $β$ is the exponential strength of frequency resonances. Our proof extends the arithmetic localization strategy for monotone quasiperiodic Schrödinger operators by Jitomirskaya and Kachkovskiy to the long-range setting, without relying on the Lyapunov exponent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39448",
  "author_total": 1,
  "authors": [
    {
      "name": "Hongyi Cao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6mzsrrf9tzrcy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39448",
  "fulltext_url": null,
  "id": "6mzsrrf9tzrcy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39448",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.SP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39448",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6mzsrrf9tzrcy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.39448",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39448"
    }
  ],
  "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": "Arithmetic localization for quasiperiodic long-range operators with monotone potentials",
  "title_text": "Arithmetic localization for quasiperiodic long-range operators with monotone potentials",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/6mzsrrf9tzrcy",
  "venue": "arXiv",
  "versions": []
}