Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2203.16961 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918107384119296 |
|---|---|
| author | Luo, ChiYi Zhao, Yun |
| author_facet | Luo, ChiYi Zhao, Yun |
| contents | This paper considers two commuting smooth transformations on a Banach space, and proves the sub-additivity of the measure theoretic entropies under mild conditions. Furthermore, some additional conditions are given for the equality of the entropies. This extends Hu's work about commuting diffeomorphisms in a finite dimensional space (Huyi Hu, 1993, Ergod. Th. Dynam. Sys., \textbf{13}: 73-100) to the case of systems on an infinite dimensional Banach space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_16961 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sub-additivity of measure-theoretic entropies of commuting transformations on Banach space Luo, ChiYi Zhao, Yun Dynamical Systems This paper considers two commuting smooth transformations on a Banach space, and proves the sub-additivity of the measure theoretic entropies under mild conditions. Furthermore, some additional conditions are given for the equality of the entropies. This extends Hu's work about commuting diffeomorphisms in a finite dimensional space (Huyi Hu, 1993, Ergod. Th. Dynam. Sys., \textbf{13}: 73-100) to the case of systems on an infinite dimensional Banach space. |
| title | Sub-additivity of measure-theoretic entropies of commuting transformations on Banach space |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2203.16961 |