{
  "abstract": "We prove that the limiting velocity for (nearest-neighbour) random walk in i.i.d. random environment is deterministic when the local environment is supported on two points. No ellipticity is assumed. The proof uses a clever adaption (suggested by ChatGPT) of coupling arguments previously developed by the authors. It extends to i.i.d. environments where the local environments are mixtures of two such points.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40464",
  "author_total": 2,
  "authors": [
    {
      "name": "Mark Holmes"
    },
    {
      "name": "Thomas S. Salisbury"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f0912ht61g1am.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40464",
  "fulltext_url": null,
  "id": "f0912ht61g1am",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40464",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40464",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f0912ht61g1am.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:35Z",
      "native_id": "2610.40464",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40464"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "The velocity is deterministic in random walk in 2-valued i.i.d. random environment",
  "title_text": "The velocity is deterministic in random walk in 2-valued i.i.d. random environment",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:53Z",
  "url": "https://research.draconitic.com/paper/f0912ht61g1am",
  "venue": "arXiv",
  "versions": []
}