$C^r$-prevalence of stable ergodicity for a class of partially hyperbolic systems
$C^r$-prevalence of stable ergodicity for a class of partially hyperbolic systems
We prove that for r \in \mathbb{N}_{\geq 2} \cup \{\infty\} , for any dynamically coherent, center bunched and strongly pinched volume preserving C^r partially hyperbolic diffeomorphism f \colon X \to X , if either (1) its center foliation is uniformly compact, or (2) its center-stable and center-unstable foliations are of …