论文标题

超平优化类中的准膜SL(2,r) - 循环的几乎可降低

Almost reducibility of quasiperiodic sl(2, R)-cocycles in ultradifferentiable classes

论文作者

Chatal, Maxime, Chavaudret, Claire

论文摘要

给定SL(2,R)中的准二聚体旋转,我们证明在频率矢量的适应算术条件下,在超平稳性类中它几乎可以重新恢复。我们还对Lyapunov指数的H {Ö}定期进行了必然。

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 H{ö}lder regularity of the Lyapunov exponent.

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