A non-autonomous Hamiltonian diffeomorphism with roots of all orders
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909866541449216 |
|---|---|
| author | Grunder, Nicolas Serraille, Baptiste |
| author_facet | Grunder, Nicolas Serraille, Baptiste |
| contents | 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 $\mathbb Q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06467 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A non-autonomous Hamiltonian diffeomorphism with roots of all orders Grunder, Nicolas Serraille, Baptiste Symplectic Geometry Dynamical Systems 37C10, 37C60, 37J65, 53D99, 57S99 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 $\mathbb Q$. |
| title | A non-autonomous Hamiltonian diffeomorphism with roots of all orders |
| topic | Symplectic Geometry Dynamical Systems 37C10, 37C60, 37J65, 53D99, 57S99 |
| url | https://arxiv.org/abs/2502.06467 |