{
  "abstract": "We prove a large deviation principle for additive functionals of local Lipschitz functions of a one-dimensional symmetric zero-range process on the diffusive scale. The rate function is obtained from the dynamical large deviation principle for the empirical density and is characterized by a variational constraint involving the density at a fixed spatial point. On the microscopic side, a super-exponential replacement is needed to replace the local observable with a function of the empirical density. On the macroscopic side, the spatial regularity enjoyed by finite-rate trajectories is needed to pass from spatial averages to point evaluation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12814",
  "author_total": 2,
  "authors": [
    {
      "name": "Insuk Seo"
    },
    {
      "name": "Kenkichi Tsunoda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1qn99f5503nyf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12814",
  "fulltext_url": null,
  "id": "1qn99f5503nyf",
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  "landing_url": "https://arxiv.org/abs/2610.12814",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7221553748",
  "pdf_url": "https://arxiv.org/pdf/2610.12814",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1qn99f5503nyf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.12814",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12814"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Large deviations for additive functionals of one-dimensional zero-range processes",
  "title_text": "Large deviations for additive functionals of one-dimensional zero-range processes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/1qn99f5503nyf",
  "venue": "arXiv",
  "versions": []
}