Flexibility of Lyapunov exponents
arXiv:1908.07891
Abstract
We outline the flexibility program in smooth dynamics, focusing on flexibility of Lyapunov exponents for volume-preserving diffeomorphisms. We prove flexibility results for Anosov diffeomorphisms admitting dominated splittings into one-dimensional bundles.
This version was revised according to the referee's reports. To appear in Ergodic Theory and Dynamical Systems (Katok memorial issue)