{
  "abstract": "We prove that every polynomial multicorrelation sequence arising from nilpotent actions admits a decomposition into a generalized nilsequence and a null-sequence. This resolves a long-standing question of Frantzikinakis concerning the structure of polynomial multicorrelation sequences of commuting transformations. Our proof builds upon ideas underlying the norm convergence theorem of Walsh.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22076",
  "author_total": 2,
  "authors": [
    {
      "name": "Jovan Andreevski"
    },
    {
      "name": "Felipe Hernández"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6z0kra8ccd4t7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22076",
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  "id": "6z0kra8ccd4t7",
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  "landing_url": "https://arxiv.org/abs/2610.22076",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
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      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7222634011",
  "pdf_url": "https://arxiv.org/pdf/2610.22076",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6z0kra8ccd4t7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.22076",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22076"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On the structure of polynomial multicorrelation sequences arising from nilpotent actions",
  "title_text": "On the structure of polynomial multicorrelation sequences arising from nilpotent actions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/6z0kra8ccd4t7",
  "venue": "arXiv",
  "versions": []
}