{
  "abstract": "We examine the similarities and differences between two types of quasiperiodic functions: those obtained by restricting smooth periodic functions in $\\mathbb{R}^N$ to lower-dimensional subspaces $\\mathbb{R}^n \\subset \\mathbb{R}^N$, and those that arise as physical fields or potentials in quasicrystalline structures. Our analysis reveals that functions in these two classes share a number of common features while also exhibiting significant differences. As a key tool for investigating both classes of functions, we employ the Novikov problem - specifically, the problem of describing the global geometry of the level sets of quasiperiodic functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34989",
  "author_total": 1,
  "authors": [
    {
      "name": "A. Ya. Maltsev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ndztbm06gs9z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34989",
  "fulltext_url": null,
  "id": "2ndztbm06gs9z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34989",
  "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"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2505|Quasicrystal Structures and Properties"
    ]
  ],
  "openalex": "W7223839540",
  "pdf_url": "https://arxiv.org/pdf/2610.34989",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ndztbm06gs9z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34989",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34989"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "On the types of quasiperiodic potentials and level surfaces of quasiperiodic functions",
  "title_text": "On the types of quasiperiodic potentials and level surfaces of quasiperiodic functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/2ndztbm06gs9z",
  "venue": "arXiv",
  "versions": []
}