David regularity of the Yoccoz extension
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912459732811776 |
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| author | Lomonaco, Luna Oliveira, Lucas Laude, Miguel Ratis |
| author_facet | Lomonaco, Luna Oliveira, Lucas Laude, Miguel Ratis |
| contents | A central problem in the study of critical circle dynamics is understanding the regularity of Yoccoz conjugators - circle homeomorphisms that conjugate critical circle maps with irrational rotation numbers to their corresponding rigid rotations. One can approach this problem from a different angle by studying the regularity of extensions of these maps to the unit disk. Of particular interest is the question of when such a conjugator admits a David extension. Building on the work of Petersen and Zakeri, we classify the David regularity of a specific extension process known as the Yoccoz extension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08643 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | David regularity of the Yoccoz extension Lomonaco, Luna Oliveira, Lucas Laude, Miguel Ratis Dynamical Systems A central problem in the study of critical circle dynamics is understanding the regularity of Yoccoz conjugators - circle homeomorphisms that conjugate critical circle maps with irrational rotation numbers to their corresponding rigid rotations. One can approach this problem from a different angle by studying the regularity of extensions of these maps to the unit disk. Of particular interest is the question of when such a conjugator admits a David extension. Building on the work of Petersen and Zakeri, we classify the David regularity of a specific extension process known as the Yoccoz extension. |
| title | David regularity of the Yoccoz extension |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2411.08643 |