Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms
Dynamical Systems
2018-06-12 v5
Abstract
We consider symplectic cocycles over two classes of partially hyperbolic diffeomorphisms: having compact center leaves and time one maps of Anosov flows. We prove that the Lyapunov exponents are non-zero in an open and dense set in the H\"older topology.
Keywords
Cite
@article{arxiv.1605.00044,
title = {Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms},
author = {Mauricio Poletti},
journal= {arXiv preprint arXiv:1605.00044},
year = {2018}
}
Comments
To appear in Discrete and Continuous Dynamical Systems