We consider continuous cocycles arising from CMV and Jacobi matrices. Assuming that the Verblunsky and Jacobi coefficients arise from generalized skew-shifts, we prove that uniform hyperbolicity of the associated cocycles is $C^0$ -dense. This implies that the associated CMV and Jacobi matrices have a Cantor spectrum for a generic continuous sampling map.

中文翻译：

---

CMV 和 Jacobi 矩阵的康托尔谱，系数由广义偏斜位移产生

我们考虑由 CMV 和 Jacobi 矩阵产生的连续共循环。假设 Verblunsky 和 ​​Jacobi 系数来自广义斜移，我们证明相关联环的均匀双曲线是 $C^0$ -dense。这意味着相关的 CMV 和 Jacobi 矩阵具有通用连续采样图的康托尔谱。