Accessibility and centralizers for partially hyperbolic flows
| Autor: | Fisher, Todd, Hasselblatt, Boris |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Ergod. Th. Dynam. Sys. 42 (2022) 835-854 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/etds.2021.24 |
| Popis: | Stable accessibility for partially hyperbolic diffeomorphisms is central to their ergodic theory, and we establish its \(C^1\)-density among 1. all, 2. volume-preserving, 3. symplectic, and 4. contact partially hyperbolic flows. As applications, we obtain in each of these 4 categories \(C^1\)-density of \(C^1\)-stable topological transitivity, ergodicity, and triviality of the centralizer. Comment: 15 pages, 3 figures |
| Databáze: | arXiv |
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