ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES
Abstract
Given a quasiperiodic cocycle in sl(2, R) sufficiently close to a constant, we prove that it is almost-reducible in ultradifferentiable class under an adapted arithmetic condition on the frequency vector. We also give a corollary on the Hölder regularity of the Lyapunov exponent.
Domains
Dynamical Systems [math.DS]
Origin : Files produced by the author(s)