{
  "abstract": "We propose a new variant of a biased random walk on a Galton-Watson tree, in which some vertices have infinitely many children. These vertices induce a natural regeneration structure, which allows to study differentiability and also monotonicity of the speed of the random walk in the bias parameter. Additionally, we show that the speed in this model is the limit of the speed of random walks on appropriate locally finite trees.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08181",
  "author_total": 1,
  "authors": [
    {
      "name": "Jan Nagel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/37eqfwvn41e2g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08181",
  "fulltext_url": null,
  "id": "37eqfwvn41e2g",
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  "landing_url": "https://arxiv.org/abs/2610.08181",
  "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"
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  "openalex": "W7220897776",
  "pdf_url": "https://arxiv.org/pdf/2610.08181",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/37eqfwvn41e2g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08181",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08181"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Biased random walk on a locally infinite Galton-Watson tree",
  "title_text": "Biased random walk on a locally infinite Galton-Watson tree",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/37eqfwvn41e2g",
  "venue": "arXiv",
  "versions": []
}