Accessibility and centralizers for partially hyperbolic flows
Dynamical Systems
2023-06-22 v1
Abstract
Stable accessibility for partially hyperbolic diffeomorphisms is central to their ergodic theory, and we establish its -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 -density of -stable topological transitivity, ergodicity, and triviality of the centralizer.
Cite
@article{arxiv.2007.04352,
title = {Accessibility and centralizers for partially hyperbolic flows},
author = {Todd Fisher and Boris Hasselblatt},
journal= {arXiv preprint arXiv:2007.04352},
year = {2023}
}
Comments
15 pages, 3 figures