{
  "abstract": "We present a way of constructing non-autonomous Hamiltonian diffeomorphisms with roots of all orders by adapting the Anosov–Katok construction. This answers a question by Kathryn Mann and Egor Shelukhin. Additionally, we construct an action of the rationals by diffeomorphism on any manifold that is not \\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ C^0$$\\end{document}C0-continuous with respect to the Euclidean topology on \\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathbb {Q}$$\\end{document}Q.",
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  "affiliations": [
    "Institut de Mathématiques, Université de Neuchâtel, Rue Emile-Argand 11, 2000 Neuchätel, Switzerland.",
    "Department of Mathematics, ETH-Zürich, Rämistrasse 101, 8092 Zürich, Switzerland."
  ],
  "article_type": "research article",
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  "author_total": 2,
  "authors": [
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        0
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      "name": "Nicolas Grunder"
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    {
      "affs": [
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      "name": "Baptiste Serraille"
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  "bibtex": "https://research.draconitic.com/paper/3wraa04p4ebdv.bib",
  "cited_by": 0,
  "doi": "10.1007/s11784-026-01307-6",
  "fulltext_url": "https://europepmc.org/articles/PMC13710636",
  "id": "3wraa04p4ebdv",
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    "1661-7746"
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  "landing_url": "https://europepmc.org/article/MED/42948237",
  "language": "eng",
  "licence": "CC-BY",
  "licence_label": "CC BY",
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  "pdf_url": "https://europepmc.org/articles/PMC13710636?pdf=render",
  "pmcid": "PMC13710636",
  "pmid": "42948237",
  "published": "2026-05-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3wraa04p4ebdv.ris",
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      "url": "https://doi.org/10.1007/s11784-026-01307-6"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Mathematical Dynamics and Fractals",
      "subfield": "mathematical-physics"
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  ],
  "title": "A non-autonomous Hamiltonian diffeomorphism with roots of all orders.",
  "title_text": "A non-autonomous Hamiltonian diffeomorphism with roots of all orders.",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T12:21:34Z",
  "url": "https://research.draconitic.com/paper/3wraa04p4ebdv",
  "venue": "Journal of fixed point theory and Its applications",
  "versions": []
}