On the uniqueness of affine IETs semi-conjugated to IETs
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917833186738176 |
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| author | Trujillo, Frank |
| author_facet | Trujillo, Frank |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06419 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the uniqueness of affine IETs semi-conjugated to IETs Trujillo, Frank Dynamical Systems 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. |
| title | On the uniqueness of affine IETs semi-conjugated to IETs |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2411.06419 |