3 problems

Let $r\geq 2$ and consider $C^r$ Anosov diffeomorphisms, with their stable and unstable distributions. A distribution is stably $C^1$ if it remains $C^1$ under every sufficiently…

Let $M_1$ and $M_2$ be compact Riemannian manifolds of Anosov type, each with scattering data. Scattering rigidity conjecture. If $M_1$ and $M_2$ have the same scattering data, the…

Let $T$ be an Anosov diffeomorphism of a connected manifold $M$, and let $C_{F,G}(k)$ denote the time correlation function of observables $F$ and $G$. The relevant criteria are tha…