Skew products over the irrational rotation
Skew products over the irrational rotation
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因不合理旋转而导致产品倾斜
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
D. Pask
中科院分区：
文献类型：
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作者：
D. Pask
在这里，我们给出了一类函数定义的非理性旋转的斜积扩展T，确保遍历性的条件。这些结果推广了P.Hellekalek和G. Larcher [HL1]和[HL2]对一类较大的函数，它们是分段绝对连续的，有零积分，并且有一个导数是Riemann可积的非零积分。
Here we give conditions on a class of functions defining skew product extensions of irrational rotations on T which ensure ergodicity. These results produce extensions of the work done by P. Hellekalek and G. Larcher [HL1] and [HL2] to the larger class of functions which are piecewise absolutely continuous, have zero integral and have a derivative which is Riemann integrable with a non-zero integral.