{
  "abstract": "We study, after Coron & Le Jan (2024), the genetic contribution of a single strongly advantageous mutant in a biparental Moran model under infinite selection. We prove a functional limit theorem for the entire beneficial mutation spreading period: after normalization by \\(\\sqrt N\\), the contributions carried by the advantaged and disadvantaged subpopulations converge jointly in law to a non-degenerate random multiple of an explicit deterministic profile. Randomness is generated during the initial microscopic growth of the mutant lineage and subsequently propagated through the population along a deterministic macroscopic trajectory. At the heart of this phenomenon is an eigenmode martingale that measures the imbalance between the mean genetic weight of the founding ancestor within the two classes; its limiting value provides precisely the random amplitude of the macroscopic profile and is characterized by a smoothing equation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41650",
  "author_total": 2,
  "authors": [
    {
      "name": "Camille Coron"
    },
    {
      "name": "Olivier Hénard"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cvkrqky1raf1t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41650",
  "fulltext_url": null,
  "id": "cvkrqky1raf1t",
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  "landing_url": "https://hal.inrae.fr/hal-05844333v1",
  "language": "en",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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  "pdf_url": "https://hal.inrae.fr/hal-05844333/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cvkrqky1raf1t.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:20:56Z",
      "native_id": "hal-05844333",
      "source": "hal",
      "url": "https://hal.inrae.fr/hal-05844333v1"
    },
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      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41650",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41650"
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  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.PE",
      "subfield": "evolutionary-biology"
    },
    {
      "field": "biology",
      "origin": "hal:1.sdv.gen",
      "subfield": "genetics-genomics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Genetic weight of a mutant in a biparental Moran model with infinite selection",
  "title_text": "Genetic weight of a mutant in a biparental Moran model with infinite selection",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/cvkrqky1raf1t",
  "venue": "HAL",
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}