$k$-type entropy of $\mathbb{Z}^d$ actions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911278064205824 |
|---|---|
| author | Aboobacker, Anshid Gopal, Sharan |
| author_facet | Aboobacker, Anshid Gopal, Sharan |
| contents | We introduce the concept of \(k\)-type entropy for dynamical systems generated by \(\mathbb{Z}^d\)-actions on compact metric spaces. We investigate its fundamental properties and establish connections with classical entropy and other \(k\)-type dynamical notions. The $k$-type entropy of some $\mathbb{Z}^2$-actions on a two dimensional torus is also calculated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $k$-type entropy of $\mathbb{Z}^d$ actions Aboobacker, Anshid Gopal, Sharan Dynamical Systems 37B05, 37C85 We introduce the concept of \(k\)-type entropy for dynamical systems generated by \(\mathbb{Z}^d\)-actions on compact metric spaces. We investigate its fundamental properties and establish connections with classical entropy and other \(k\)-type dynamical notions. The $k$-type entropy of some $\mathbb{Z}^2$-actions on a two dimensional torus is also calculated. |
| title | $k$-type entropy of $\mathbb{Z}^d$ actions |
| topic | Dynamical Systems 37B05, 37C85 |
| url | https://arxiv.org/abs/2511.16835 |