The strong closing lemma and Hamiltonian pseudo-rotations
Symplectic Geometry
2023-02-15 v2 Dynamical Systems
Abstract
We prove the strong 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.
Keywords
Cite
@article{arxiv.2210.00771,
title = {The strong closing lemma and Hamiltonian pseudo-rotations},
author = {Erman Cineli and Sobhan Seyfaddini},
journal= {arXiv preprint arXiv:2210.00771},
year = {2023}
}
Comments
16 pages. V2: main theorem improved. We show that any perturbation through positive Hamiltonians leads to creation of periodic orbits