{
  "abstract": "The pace of evolution depends on how rapidly new phenotypes arise. We show that neutral Wright-Fisher evolution exhibits anomalous first passage despite diffusive mutations. The mean time for the first individual to reach a prescribed phenotypic distance scales approximately as $(σ^2)^{-3/2}$ with mutation variance $σ^2$. Two crossovers bound this regime, with inverse-variance scaling on either side. Combining coalescent theory with Kardar-Parisi-Zhang (KPZ) fluctuations at the dilute population edge, we develop an edge-KPZ theory of all three regimes. The anomaly persists under weak selection.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16499",
  "author_total": 1,
  "authors": [
    {
      "name": "Tetsuhiro S. Hatakeyama"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/af7s3qmpr8d1t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16499",
  "fulltext_url": null,
  "id": "af7s3qmpr8d1t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16499",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "physics.bio-ph"
    ],
    [
      "arxiv",
      "q-bio.PE"
    ],
    [
      "openalex",
      "1311|Evolution and Genetic Dynamics"
    ]
  ],
  "openalex": "W7213430055",
  "pdf_url": "https://arxiv.org/pdf/2609.16499",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/af7s3qmpr8d1t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16499",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16499"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.PE",
      "subfield": "evolutionary-biology"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.bio-ph",
      "subfield": "biological-medical"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Anomalous First Passage in Evolution: Edge-KPZ Theory",
  "title_text": "Anomalous First Passage in Evolution: Edge-KPZ Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:46Z",
  "url": "https://research.draconitic.com/paper/af7s3qmpr8d1t",
  "venue": "arXiv",
  "versions": []
}