{
  "abstract": "It is well-known that additive interacting particle systems with a local state space of cardinality two have a percolation representation in terms of open paths in a graphical representation. In this paper, it is shown how such a percolation representation can be constructed more generally when the local state space is a finite distributive lattice. The theory is demonstrated on Krone's two-stage contact process.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.13371",
  "author_total": 1,
  "authors": [
    {
      "name": "Jan M. Swart"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/574ce721cw3jz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.13371",
  "fulltext_url": null,
  "id": "574ce721cw3jz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.13371",
  "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.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7161162355",
  "pdf_url": "https://arxiv.org/pdf/2605.13371",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/574ce721cw3jz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2605.13371",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.13371"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Percolation representations of additive particle systems",
  "title_text": "Percolation representations of additive particle systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/574ce721cw3jz",
  "venue": "arXiv",
  "versions": []
}