论文标题
混合$ t的混合属性，t^{ - 1} $转换
Mixing properties of generalized $T, T^{-1}$ transformations
论文作者
论文摘要
我们研究广义$ t，t^{ - 1} $变换的混合属性。我们讨论两个混合机制。在混合纤维的情况下，驱动旋转的企业较小，概率很小就足够了。在这种情况下，仅假定纤维动力学是千古的，则需要使用旋律的剪切特性。应用程序包括用于足够快速混合系统的中央限制定理以及关于沿阵行平均值偏差的估计。
We study mixing properties of generalized $T, T^{-1}$ transformation. We discuss two mixing mechanisms. In the case the fiber dynamics is mixing, it is sufficient that the driving cocycle is small with small probability. In the case the fiber dynamics is only assumed to be ergodic, one needs to use the shearing properties of the cocycle. Applications include the Central Limit Theorem for sufficiently fast mixing systems and the estimates on deviations of ergodic averages.
