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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.17791 |
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| _version_ | 1866913441293271040 |
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| author | Call, Benjamin Constantine, David Erchenko, Alena Sawyer, Noelle Work, Grace |
| author_facet | Call, Benjamin Constantine, David Erchenko, Alena Sawyer, Noelle Work, Grace |
| contents | Let $S$ be a compact surface of genus $\geq 2$ equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than $2π$. We examine the geodesic flow on $S$ and prove local product structure for a wide class of equilibrium states. Using this, we establish the Bernoulli property for these systems. We also establish local product structure for a similar class of equilibrium states for geodesic flows on rank 1, nonpositively curved manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local product structure for equilibrium states of geodesic flows and applications Call, Benjamin Constantine, David Erchenko, Alena Sawyer, Noelle Work, Grace Dynamical Systems 37D35, 37D40 Let $S$ be a compact surface of genus $\geq 2$ equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than $2π$. We examine the geodesic flow on $S$ and prove local product structure for a wide class of equilibrium states. Using this, we establish the Bernoulli property for these systems. We also establish local product structure for a similar class of equilibrium states for geodesic flows on rank 1, nonpositively curved manifolds. |
| title | Local product structure for equilibrium states of geodesic flows and applications |
| topic | Dynamical Systems 37D35, 37D40 |
| url | https://arxiv.org/abs/2403.17791 |