论文标题
弗斯滕贝格混合随机Quasiperiodic Cocycles的理论
Furstenberg Theory of Mixed Random-Quasiperiodic Cocycles
论文作者
论文摘要
我们得出了一个通用混合随机Quasiperiodic线性共生的最大Lyapunov指数的阳性标准，这是先前工作中引入的模型。该结果适用于对应于具有随机扰动准碘电势的Schrödinger运算符的共生。此外，我们建立了oseledets定理中Lyapunov指数的平均均匀收敛。
We derive a criterion for the positivity of the maximal Lyapunov exponent of generic mixed random-quasiperiodic linear cocycles, a model introduced in a previous work. This result is applicable to cocycles corresponding to Schrödinger operators with randomly perturbed quasiperiodic potentials. Moreover, we establish an average uniform convergence to the Lyapunov exponent in the Oseledets theorem.
