{
  "abstract": "The classic recombination equation, both in discrete and in continuous time, can be solved in a way that derives from the Markov chain of a partitioning process. Here, we revisit this structure from the point of view of the Markov embedding problem. In particular, we analyse when a discrete-time Markov matrix of recombination type can occur in a time-homogeneous Markov semigroup that is generated by a recombination rate matrix. En route, we also show that such rate matrices (or Markov generators) generally do not form a matrix algebra, but span a real Lie algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04849",
  "author_total": 3,
  "authors": [
    {
      "name": "Ellen Baake"
    },
    {
      "name": "Michael Baake"
    },
    {
      "name": "Jeremy Sumner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/389s7bv3mxzzx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04849",
  "fulltext_url": null,
  "id": "389s7bv3mxzzx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04849",
  "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"
    ]
  ],
  "openalex": "W7211911515",
  "pdf_url": "https://arxiv.org/pdf/2609.04849",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/389s7bv3mxzzx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.04849",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04849"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Recombination in discrete and continuous time from the viewpoint of Markov embedding",
  "title_text": "Recombination in discrete and continuous time from the viewpoint of Markov embedding",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/389s7bv3mxzzx",
  "venue": "arXiv",
  "versions": []
}