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Skew products over rotations with exotic properties
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chaika, Jon |
| Copyright Year | 2011 |
| 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. |
| Starting Page | 369 |
| Ending Page | 385 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10711-013-9835-4 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1105.3632v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10711-013-9835-4 |
| Volume Number | 168 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
