Entropy Flexibility of Dynamical Systems
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_ | 1866911061073985536 |
|---|---|
| author | Arbieto, Alexander Oprocha, Piotr Rego, Elias |
| author_facet | Arbieto, Alexander Oprocha, Piotr Rego, Elias |
| contents | Inspired by Katok's intermediate entropy property [Inst. Hautes Études Sci. Publ. Math. 51 (1980), 137-173], we introduce and study the notion of entropy flexibility for discrete-time and continuous-time dynamical systems. By using renewal systems techniques, we show that this property is present in several classes of systems where any intermediate value of entropy can be attained on a strictly ergodic sub-system. In addition, we prove an entropy flexibility analogue of Katok's conjecture: Entropy flexibility is a typical property for vector fields on 3-manifolds and surface diffeomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11048 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entropy Flexibility of Dynamical Systems Arbieto, Alexander Oprocha, Piotr Rego, Elias Dynamical Systems Primary: 37B40, 37C10, Secondary: 37B05, 37B10 Inspired by Katok's intermediate entropy property [Inst. Hautes Études Sci. Publ. Math. 51 (1980), 137-173], we introduce and study the notion of entropy flexibility for discrete-time and continuous-time dynamical systems. By using renewal systems techniques, we show that this property is present in several classes of systems where any intermediate value of entropy can be attained on a strictly ergodic sub-system. In addition, we prove an entropy flexibility analogue of Katok's conjecture: Entropy flexibility is a typical property for vector fields on 3-manifolds and surface diffeomorphisms. |
| title | Entropy Flexibility of Dynamical Systems |
| topic | Dynamical Systems Primary: 37B40, 37C10, Secondary: 37B05, 37B10 |
| url | https://arxiv.org/abs/2507.11048 |