Polynomial decay of correlations for nonpositively curved surfaces
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916335367225344 |
|---|---|
| author | Lima, Yuri Matheus, Carlos Melbourne, Ian |
| author_facet | Lima, Yuri Matheus, Carlos Melbourne, Ian |
| contents | We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove that various statistical limit laws, including the central limit theorem, are satisfied by this class of geodesic flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_11805 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Polynomial decay of correlations for nonpositively curved surfaces Lima, Yuri Matheus, Carlos Melbourne, Ian Dynamical Systems Differential Geometry 37C10, 37C83, 37D40 (primary), 37D25 (secondary) We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove that various statistical limit laws, including the central limit theorem, are satisfied by this class of geodesic flows. |
| title | Polynomial decay of correlations for nonpositively curved surfaces |
| topic | Dynamical Systems Differential Geometry 37C10, 37C83, 37D40 (primary), 37D25 (secondary) |
| url | https://arxiv.org/abs/2107.11805 |