{
  "abstract": "We consider the local discrepancy for the number of visits of the orbit of $0$ under a mixed-radix odometer to intervals near the origin. Both the length of the orbit and the endpoint of the visited interval are chosen independently and uniformly at random. Under a Feller-type condition and an explicit condition ensuring that the finite random-time clock can be approximated by a Haar clock on the fluctuation scale, we obtain a temporal central limit theorem for the discrepancy, with an explicit Kolmogorov-Smirnov rate of convergence. This extends and strengthens the fixed-base temporal central limit theorem of Levin and Merzbach to the mixed-radix setting.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34243",
  "author_total": 2,
  "authors": [
    {
      "name": "Maria Avdeeva"
    },
    {
      "name": "Francesco Cellarosi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ck6qjhks2nxpp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34243",
  "fulltext_url": null,
  "id": "ck6qjhks2nxpp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34243",
  "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.DS"
    ],
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      "arxiv",
      "math.NT"
    ],
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7223989751",
  "pdf_url": "https://arxiv.org/pdf/2610.34243",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ck6qjhks2nxpp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34243",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34243"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Temporal central limit theorem for mixed-radix odometer discrepancy",
  "title_text": "Temporal central limit theorem for mixed-radix odometer discrepancy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/ck6qjhks2nxpp",
  "venue": "arXiv",
  "versions": []
}