Weak mixing for interval exchange transformations and translation flows
Weak mixing for interval exchange transformations and translation flows
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DOI：
10.4007/annals.2007.165.637
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发表时间：
2007-03-01
影响因子：
4.9
通讯作者：
Forni, Giovanni
中科院分区：
文献类型：
--
作者：
Avila, Artur;Forni, Giovanni
我们证明了一个典型的区间交换变换要么是弱混合的，要么是无理旋转。我们还得出结论，一个典型的平移流的亏格g >= 2（具有指定的奇异类型）的典型的平移曲面是弱混合。
We prove that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a typical translation surface of genus g >= 2 (with prescribed singularity types) is weakly mixing.