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.

中文翻译：

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部分双曲线流的可访问性和集中器

部分双曲线系统的稳定可达性是其稳定遍历性的核心，我们建立了它的$C^1$- 部分双曲线流动之间的密度，以及保体积、辛和接触部分双曲线流动类别中的密度。作为应用程序，我们一方面在这四类流中的每一类中获得$C^1$- 密度$C^1$-中心化器的稳定拓扑传递性和平凡性，另一方面$C^1$- 密度$C^1$- 后三类自然体积的稳定 K 属性。