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arXiv · 2502.06467

A non-autonomous Hamiltonian diffeomorphism with roots of all orders

Nicolas Grunder·Baptiste Serraille
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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 Shelukin. Additionally, we construct an action of the rationals by diffeomorphism on any manifold that is not $C^0$-continuous with respect to the Euclidean topology on $\mathbb Q$.

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Nicolas Grunder, Baptiste Serraille. 2025-02-10. A non-autonomous Hamiltonian diffeomorphism with roots of all orders. https://arxiv.org/abs/2502.06467

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