论文标题
具有动态定义Verblunsky系数的CMV矩阵的通用光谱结果
Generic Spectral Results for CMV Matrices with Dynamically Defined Verblunsky Coefficients
论文作者
论文摘要
我们考虑具有动态定义的Verblunsky系数的CMV矩阵。这些系数是通过沿着沿着沿阵行转化的轨道进行连续采样来获得的。我们研究了某些光谱现象是否是通用的，从某种意义上说，对于固定碱基转换，光谱现象出现的连续采样函数集是残留的。在我们讨论的现象中，有绝对连续的光谱以及频谱的Lebesgue度量消失。
We consider CMV matrices with dynamically defined Verblunsky coefficients. These coefficients are obtained by continuous sampling along the orbits of an ergodic transformation. We investigate whether certain spectral phenomena are generic in the sense that for a fixed base transformation, the set of continuous sampling functions for which the spectral phenomenon occurs is residual. Among the phenomena we discuss are the absence of absolutely continuous spectrum and the vanishing of the Lebesgue measure of the spectrum.
