Mathematics – Dynamical Systems
Scientific paper
2010-04-25
Mathematics
Dynamical Systems
15 pages
Scientific paper
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.
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