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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Hauptverfasser: Cineli, Erman, Seyfaddini, Sobhan
Format: Artikel
Sprache:eng
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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.
DOI:10.48550/arxiv.2210.00771