The strong closing lemma and Hamiltonian pseudo-rotations
We prove the strong $C^\infty$ closing property, as formulated by Irie, for a class of Hamiltonian diffeomorphisms which includes all pseudo-rotations of projective spaces as well as all Anosov-Katok pseudo-rotations.
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Zusammenfassung: | We prove the strong $C^\infty$ closing property, as formulated by Irie, for a
class of Hamiltonian diffeomorphisms which includes all pseudo-rotations of
projective spaces as well as all Anosov-Katok pseudo-rotations. |
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DOI: | 10.48550/arxiv.2210.00771 |