{
  "abstract": "We study characteristic Chow polynomials of principal intervals in generalized subword order, equivalently of pattern-containment intervals below layered permutations. A terminal-chain recurrence and canonical rightmost embeddings yield a recursive rational generating function for every fixed number of layers, governed by a universal denominator. In the two-layer case we obtain an explicit kernel, prove canonical interlacing when one layer has size at most four, and prove eventual interlacing at every fixed width by a Laguerre limit. We also treat two families with unboundedly many layers. Singleton-prefix intervals have a closed Delannoy-Jacobi gamma polynomial and form real-rooted interlacing sequences. Singleton-sandwich intervals admit rational three-variable series and a marked-slot formula for all gamma coefficients. Their central-layer-two and central-layer-three slices are real-rooted, with interlacing under growth from two to three. For each fixed pair of singleton flanks, a Laguerre differential transform proves eventual interlacing as the central layer grows. These results exhibit composition intervals as a structured testing ground for positivity and root-location questions for Chow polynomials of posets.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33037",
  "author_total": 1,
  "authors": [
    {
      "name": "Jiahao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/amwa0a5fac5ws.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33037",
  "fulltext_url": null,
  "id": "amwa0a5fac5ws",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33037",
  "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.CO"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7223928680",
  "pdf_url": "https://arxiv.org/pdf/2610.33037",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/amwa0a5fac5ws.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33037",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33037"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Characteristic Chow Polynomials of Layered-Permutation Intervals",
  "title_text": "Characteristic Chow Polynomials of Layered-Permutation Intervals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/amwa0a5fac5ws",
  "venue": "arXiv",
  "versions": []
}