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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.06419 |
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Table of Contents:
- We prove that for almost every irreducible interval exchange transformation $T$ and for any vector $ω$ in its associated central-stable space (with respect to the Kontsevich-Zorich cocycle) there exists a unique AIET, up to normalization of its domain, semi-conjugated to $T$ and whose log-slope vector equals $ω$. This provides a partial answer to a question raised by S. Marmi, P. Moussa, and J.-C. Yoccoz.