Continuity of Lyapunov exponents in the C0 topology
Dynamical Systems
2017-01-02 v1
Abstract
We prove that the Bochi-Ma\~{n}\'{e} theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbolic and yet have Lyapunov exponents bounded from zero.
Keywords
Cite
@article{arxiv.1612.09361,
title = {Continuity of Lyapunov exponents in the C0 topology},
author = {Marcelo Viana and Jiagang Yang},
journal= {arXiv preprint arXiv:1612.09361},
year = {2017}
}