2 problems

Let $M$ be a compact manifold equipped with a symplectic form $\omega$, and let $\operatorname{Diff}^{r}(M,\omega)$ be the space of $C^{r}$ diffeomorphisms preserving $\omega$, whe…

Newhouse-domain density conjecture. An analogous result should hold in the $C^r$ topology for $r\geq 2$; in particular, the Newhouse domain should be dense in…