Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.15905 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915123613925376 |
|---|---|
| author | Chevallier, Nicolas Conze, Jean-Pierre |
| author_facet | Chevallier, Nicolas Conze, Jean-Pierre |
| contents | We study recurrence and ergodicity of cocycles with values in R d , d $\ge$ 1, over rotations by badly approximable irrational numbers on T $ρ$ , $ρ$ \> 1. The discontinuities of the functions generating the cocycles also satisfy a Diophantine condition. For simplicity of notation we mainly consider the cases $ρ$ = 2, d = 1 and 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15905 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ergodicity of cocyles over 2-dimensional rotations Chevallier, Nicolas Conze, Jean-Pierre Dynamical Systems We study recurrence and ergodicity of cocycles with values in R d , d $\ge$ 1, over rotations by badly approximable irrational numbers on T $ρ$ , $ρ$ \> 1. The discontinuities of the functions generating the cocycles also satisfy a Diophantine condition. For simplicity of notation we mainly consider the cases $ρ$ = 2, d = 1 and 2. |
| title | Ergodicity of cocyles over 2-dimensional rotations |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2501.15905 |