{
  "abstract": "We establish criteria for stability in the bulk of planar stochastic chemical reaction networks with mass-action kinetics. Using Poincaré compactification, we characterize the asymptotic drift and show how stochastic fluctuations can prevent escape along transversally repulsive branches of the limiting deterministic flow. We construct a Lyapunov function by combining local estimates near these branches with dissipative estimates in the neighboring regions. The criteria cover a wide class of networks and in particular apply beyond weakly reversible and strongly endotactic networks. Together with compatible boundary estimates, these criteria imply positive recurrence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31550",
  "author_total": 2,
  "authors": [
    {
      "name": "Andrea Agazzi"
    },
    {
      "name": "Lucie Laurence"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5wt6nmee3sch1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31550",
  "fulltext_url": null,
  "id": "5wt6nmee3sch1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31550",
  "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.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7223402564",
  "pdf_url": "https://arxiv.org/pdf/2610.31550",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5wt6nmee3sch1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.31550",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31550"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Bulk stability of bimolecular stochastic chemical reaction networks",
  "title_text": "Bulk stability of bimolecular stochastic chemical reaction networks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/5wt6nmee3sch1",
  "venue": "arXiv",
  "versions": []
}