Density of positive Lyapunov exponents for SL(2,R) cocycles
Dynamical Systems
2010-04-27 v1
Abstract
We show that SL(2,R) cocycles with a positive Lyapunov exponent are dense in all regularity classes and for all non-periodic dynamical systems. For Schr\"odinger cocycles, we show prevalence of potentials for which the Lyapunov exponent is positive for a dense set of energies.
Keywords
Cite
@article{arxiv.1004.4349,
title = {Density of positive Lyapunov exponents for SL(2,R) cocycles},
author = {Artur Avila},
journal= {arXiv preprint arXiv:1004.4349},
year = {2010}
}
Comments
15 pages