{
  "abstract": "We compare four simple shuffles with one adhesion parameter $p$: a card-weighted sticky riffle, a block-weighted riffle, a midpoint-interpolation shuffle, and a correlated-label inverse riffle. Independent surviving contacts create contiguous blocks; no force or energy constants are fitted. We give polynomial upper bounds with explicit dependence on $p$, common adjacency-survival lower bounds, and a sharper information lower bound for interpolation. For fixed deck size $n\\ge4$, the mixing time diverges as $Θ((1-p)^{-1})$ for the three cut-first models, but as $Θ((1-p)^{-2})$ for the correlated-label model. The latter distinction comes from whether one or two additional contact breaks are needed to escape cyclic rotations. For even $n$, unglued interpolation retains the lower bound $Ω(\\sqrt n\\log n)$ and upper bound $O(n^{5/2}\\log n)$. We distinguish proved bounds from conjectured scales, recover classical riffle cutoff under sufficiently small perturbations, and explain precisely where established results on clumpy shuffles apply. The fixed-parameter asymptotic orders of the new cut-first families and their possible cutoff remain unresolved.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02092",
  "author_total": 1,
  "authors": [
    {
      "name": "Yunjiang Jiang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/657qnaxzywg62.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02092",
  "fulltext_url": null,
  "id": "657qnaxzywg62",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02092",
  "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/2611.02092",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/657qnaxzywg62.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02092",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02092"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Adhesive riffle shuffles: one-parameter models and mixing bounds",
  "title_text": "Adhesive riffle shuffles: one-parameter models and mixing bounds",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/657qnaxzywg62",
  "venue": "arXiv",
  "versions": []
}