Bounded deviations in higher genus I: closed geodesics
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_ | 1866918279586512896 |
|---|---|
| author | Guihéneuf, Pierre-Antoine Tal, Fábio Armando |
| author_facet | Guihéneuf, Pierre-Antoine Tal, Fábio Armando |
| contents | This is the first article of a series of two where we study the problem of bounded deviations for homeomorphisms of closed surfaces of genus $\ge 2$. This first part studies bounded deviations with respect to closed geodesics. As a byproduct of our proofs, we also get a criterion of existence of periodic orbits in terms of big deviation with respect to some closed geodesic. The combination with the second part [arXiv:2511.14226] generalises to the higher genus case most of the bounded deviations results already known for the torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded deviations in higher genus I: closed geodesics Guihéneuf, Pierre-Antoine Tal, Fábio Armando Dynamical Systems 37E45, 37E30 This is the first article of a series of two where we study the problem of bounded deviations for homeomorphisms of closed surfaces of genus $\ge 2$. This first part studies bounded deviations with respect to closed geodesics. As a byproduct of our proofs, we also get a criterion of existence of periodic orbits in terms of big deviation with respect to some closed geodesic. The combination with the second part [arXiv:2511.14226] generalises to the higher genus case most of the bounded deviations results already known for the torus. |
| title | Bounded deviations in higher genus I: closed geodesics |
| topic | Dynamical Systems 37E45, 37E30 |
| url | https://arxiv.org/abs/2511.14222 |