Flexibility of Lyapunov exponents
Dynamical Systems
2021-04-09 v2
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.
Cite
@article{arxiv.1908.07891,
title = {Flexibility of Lyapunov exponents},
author = {Jairo Bochi and Anatole Katok and Federico Rodriguez Hertz},
journal= {arXiv preprint arXiv:1908.07891},
year = {2021}
}
Comments
This version was revised according to the referee's reports. To appear in Ergodic Theory and Dynamical Systems (Katok memorial issue)