Accessibility and centralizers for partially hyperbolic flows
نویسندگان
چکیده
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, 4. contact flows. As applications, obtain in each of these 4 categories \(C^1\)-stable topological transitivity, ergodicity, triviality the centralizer.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2021
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2021.24