论文标题
关于Anosov圆环内态性的可测量特性
On Measurable Properties of Anosov Endomorphisms of Torus
论文作者
论文摘要
我们发现二分法涉及与线性化结合引起的特殊Anosov内态的不稳定的Lyapunov指数。实际上，要么每个不稳定的叶子都在一组零度量上相遇，该集合被定义为不稳定的lyapunov指数，或者内孢菌与其线性化相结合。另外，我们能够表征一类保存特殊Anosov内态$ \ Mathbb {t}^3的卷的中间叶子的绝对连续性。3。$
We found a dichotomy involving the unstable Lyapunov exponent of a special Anosov endomorphism of the torus induced by the conjugacy with the linearization. In fact, either every unstable leaf meets on a set of zero measure the set for which is defined such unstable Lyapunov exponent or the endomorphims is smoothly conjugated with its linearization. Also we are able to characterize the absolute continuity of the intermediate foliation for a class of volume preserving special Anosov endomorphisms of $\mathbb{T}^3.$
