{
  "abstract": "We establish an exact equivalence between the fluctuations of integrated currents and the temporal statistics of current record events in continuous-time Markov jump processes. Specifically, we show that, under minimal assumptions, the Fano factor of an integrated current coincides exactly with the squared coefficient of variation of the inter-record waiting times. This result is obtained by showing that inter-record times induce a renewal structure, since each record event resets the system to a fixed state, and that their generating function can be expressed exactly in terms of a combinatorial organization governed by Narayana numbers. The equivalence extends previous results obtained for unicyclic networks to arbitrary finite-state graphs and provides a unified representation of current fluctuations in terms of record-time observables. The results are derived within a purely probabilistic framework and clarify the structural origin of current precision in terms of first-passage-like event statistics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09479",
  "author_total": 1,
  "authors": [
    {
      "name": "Alberto Garilli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f0f044b445jhb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09479",
  "fulltext_url": null,
  "id": "f0f044b445jhb",
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  "landing_url": "https://arxiv.org/abs/2609.09479",
  "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",
      "cond-mat.stat-mech"
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      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
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  ],
  "openalex": "W7212164281",
  "pdf_url": "https://arxiv.org/pdf/2609.09479",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f0f044b445jhb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.09479",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09479"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Exact asymptotic equivalence between precisions of record-times and integrated currents",
  "title_text": "Exact asymptotic equivalence between precisions of record-times and integrated currents",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/f0f044b445jhb",
  "venue": "arXiv",
  "versions": []
}