We consider quadratic skew-products over angle-doubling of the circle and prove that they admit positive Lyapunov exponents almost everywhere and an absolutely continuous invariant probability measure. This extends corresponding results of M. Viana and J. F. Alves for skew-products over the linear strongly expanding map of the circle.
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机译：我们考虑圆角加倍时的二次偏积，并证明它们几乎在所有地方都接受正Lyapunov指数和绝对连续不变概率测度。这将M. Viana和J. F. Alves的相应结果扩展到圆的线性强扩展图上。
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