arXiv Analytics

Sign in

arXiv:1004.4349 [math.DS]AbstractReferencesReviewsResources

Density of positive Lyapunov exponents for SL(2,R) cocycles

Artur Avila

Published 2010-04-25Version 1

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.

Comments: 15 pages
Categories: math.DS
Related articles: Most relevant | Search more
arXiv:1506.05181 [math.DS] (Published 2015-06-17)
On density of positive Lyapunov exponents for $C^1$ symplectic diffeomorphisms
arXiv:1501.05380 [math.DS] (Published 2015-01-22)
Quasi-Periodic Schrödinger Cocycles with Positive Lyapunov Exponent are not Open in the Smooth Topology
arXiv:0804.3753 [math.DS] (Published 2008-04-23, updated 2010-04-13)
Measures with positive Lyapunov exponent and conformal measures in rational dynamics

Links

Toolbox