{
  "abstract": "By analyzing a stochastic Lotka-Volterra (LV) equation, we show that the underlying logic behind the diversity-stability debate in ecology can be framed as a dimensionality-induced critical phase transition, that is, a transition separating the regime dominated by statistical averaging and a systemic tipping point. This phase transition framework unifies the opposing ecological predictions in the diversity-stability debate and sets an intrinsic diversity ceiling for stochastic ecological communities.",
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  "article_type": null,
  "arxiv": "2608.30655",
  "author_total": 6,
  "authors": [
    {
      "name": "Xiu-deng Zheng"
    },
    {
      "name": "Cong Li"
    },
    {
      "name": "Hui Zhang"
    },
    {
      "name": "Hui-jie Qiao"
    },
    {
      "name": "Shao-peng Wang"
    },
    {
      "name": "Yi Tao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2vh1a847b4asy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30655",
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  "id": "2vh1a847b4asy",
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  "landing_url": "https://arxiv.org/abs/2608.30655",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.MP"
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      "arxiv",
      "q-bio.PE"
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      "openalex",
      "2739|Mathematical and Theoretical Epidemiology and Ecology Models"
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  "openalex": "W7204915220",
  "pdf_url": "https://arxiv.org/pdf/2608.30655",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2vh1a847b4asy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.30655",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30655"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.PE",
      "subfield": "evolutionary-biology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Dimensionality-induced critical phase transition in stochastic Lotka-Volterra equation: From statistical averaging to systemic tipping point",
  "title_text": "Dimensionality-induced critical phase transition in stochastic Lotka-Volterra equation: From statistical averaging to systemic tipping point",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:49Z",
  "url": "https://research.draconitic.com/paper/2vh1a847b4asy",
  "venue": "arXiv",
  "versions": []
}