Skew products over rotations with exotic properties |
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Authors: | Jon Chaika |
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Institution: | 1. University of Chicago, Chicago, IL, USA
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Abstract: | We show that a $\text{ Z}_{2}$ skew product of a badly approximable rotation can be minimal and not uniquely ergodic. This construction is used to construct a Z skew product of a rotation where the orbit of a.e. point is dense but Lebesgue measure is not ergodic. |
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