Scholarlink

<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( C^0\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mn>0</mn> </msup> </math></EquationSource> </InlineEquation>-continuous with respect to the Euclidean topology on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathbb {Q}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">Q</mi> </math></EquationSource> </InlineEquation>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A non-autonomous Hamiltonian diffeomorphism with roots of all orders

  • 期刊论文

  • 发表日期：

    2026年5月26日

查看全文
  • Nicolas Grunder,
  • Baptiste Serraille

摘要

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 \( C^0\) C 0 -continuous with respect to the Euclidean topology on \(\mathbb {Q}\) Q .