{
  "abstract": "In this paper, we give characterizations of Li--Yorke chaos, mean Li--Yorke chaos and distributional chaos for weighted backward shifts acting on general Fréchet sequence spaces over directed trees. As corollaries, we obtain explicit characterizations in the setting of Köthe spaces $λ_p(A,V)$, where $p\\in\\{0\\}\\cup[1,\\infty)$ and $V$ is a directed tree. In particular, we obtain criteria for the case of the classical Banach spaces $\\ell^p(V)$, $p\\in[1,\\infty)$, and $c_0(V)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.10053",
  "author_total": 3,
  "authors": [
    {
      "name": "Mateus Azevedo"
    },
    {
      "name": "Fernando Costa Jr."
    },
    {
      "name": "João V. A. Pinto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7r21kakdkmhkk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.10053",
  "fulltext_url": null,
  "id": "7r21kakdkmhkk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.10053",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.10053",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7r21kakdkmhkk.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:33Z",
      "native_id": "2611.10053",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.10053"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On the dynamics of weighted shifts on Fréchet sequence spaces over trees",
  "title_text": "On the dynamics of weighted shifts on Fréchet sequence spaces over trees",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:33Z",
  "url": "https://research.draconitic.com/paper/7r21kakdkmhkk",
  "venue": "arXiv",
  "versions": []
}