{
  "abstract": "We consider a Markov chain on $\\mathrm{SL}_n(\\mathbb{Z}_p)$, the space of $n \\times n$ matrices with determinant $1$ and entries in $\\mathbb{Z}_p$, for $p$ a prime number. At every time step, the chain updates by adding one row (or its negation) to another. By way of a log-Sobolev inequality, we show the mixing time of this chain is at most of order $O(n^2p^2(\\log n +\\log \\log p))$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25449",
  "author_total": 2,
  "authors": [
    {
      "name": "Anna Ben-Hamou"
    },
    {
      "name": "Simon Overgaard"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7qcae8t5gqxb1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25449",
  "fulltext_url": null,
  "id": "7qcae8t5gqxb1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25449",
  "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",
      "2613|Markov Chains and Monte Carlo Methods"
    ]
  ],
  "openalex": "W7223032358",
  "pdf_url": "https://arxiv.org/pdf/2610.25449",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7qcae8t5gqxb1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25449",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25449"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Mixing time of the tranvection walk on $\\mathrm{SL}_n(\\mathbb{Z}_p)$",
  "title_text": "Mixing time of the tranvection walk on SL_n(ℤ_p)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/7qcae8t5gqxb1",
  "venue": "arXiv",
  "versions": []
}