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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2020
|
| 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 
|
| Author Notes: | W. Patrick Hooper, Kasra Rafi and Anja Randecker |
| Summary: | 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. |
|---|---|
| Item Description: | Gesehen am 09.06.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1553-5231 |
| DOI: | 10.3934/dcds.2020220 |