Non-ergodic interval exchange transformations
Non-ergodic interval exchange transformations
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非遍历区间交换变换
DOI：
10.1007/bf03007668
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发表时间：
1977
影响因子：
1
通讯作者：
M. Keane
中科院分区：
文献类型：
--
作者：
M. Keane
We construct interval exchange transformations on four intervals satisfying a strong irrationality condition and having exactly two ergodic invariant probability measures. This shows that although Kronecker’s theorem remains true for interval exchange transformations, the Weyl equidistribution theorem is false even under the strongest irrationality assumptions.
