Renormalizing an infinite rational IET
We study an interval exchange transformation of [0; 1] formed by cutting the interval at the points 1 n and reversing the order of the intervals. We find that the transformation is periodic away from a Cantor set of Hausdorff dimension zero. On the Cantor set, the dynamics are nearly conjugate to th...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2020
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| In: |
Discrete and continuous dynamical systems
Year: 2020, Volume: 40, Issue: 9, Pages: 5105-5116 |
| ISSN: | 1553-5231 |
| DOI: | 10.3934/dcds.2020220 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.3934/dcds.2020220 Verlag, lizenzpflichtig, Volltext: https://www.aimsciences.org/article/doi/10.3934/dcds.2020220 
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| Author Notes: | W. Patrick Hooper, Kasra Rafi and Anja Randecker |
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| 520 | |a We study an interval exchange transformation of [0; 1] formed by cutting the interval at the points 1 n and reversing the order of the intervals. We find that the transformation is periodic away from a Cantor set of Hausdorff dimension zero. On the Cantor set, the dynamics are nearly conjugate to the 2-adic odometer. | ||
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