We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Stable accessibility of partially hyperbolic systems is central to their stable ergodicity, and we establish its
$C^1$
-density among partially hyperbolic flows, as well as in the categories of volume-preserving, symplectic, and contact partially hyperbolic flows. As applications, we obtain on one hand in each of these four categories of flows the
$C^1$
-density of the
$C^1$
-stable topological transitivity and triviality of the centralizer, and on the other hand the
$C^1$
-density of the
$C^1$
-stable K-property of the natural volume in the latter three categories.
