On postcritical sets of quadratic polynomials with a neutral fixed point
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913443560292352 |
|---|---|
| author | Qu, Hongyu |
| author_facet | Qu, Hongyu |
| contents | The control of postcritical sets of quadratic polynomials with a neutral fixed point is a main ingredient in the remarkable work of Buff and Chéritat to construct quadratic Julia sets with positive area. Based on the Inou-Shishikura theory, they obtained the control for the case of rotation numbers of bounded high type. Later, Cheraghi developed several elaborate analytic techniques based on Inou-Shishikura's results and obtained the control for the case of rotation numbers of high type. In this paper, based on the pseudo-Siegel disk theory of Dudko and Lyubich, we obtained the control for the general case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On postcritical sets of quadratic polynomials with a neutral fixed point Qu, Hongyu Dynamical Systems Complex Variables The control of postcritical sets of quadratic polynomials with a neutral fixed point is a main ingredient in the remarkable work of Buff and Chéritat to construct quadratic Julia sets with positive area. Based on the Inou-Shishikura theory, they obtained the control for the case of rotation numbers of bounded high type. Later, Cheraghi developed several elaborate analytic techniques based on Inou-Shishikura's results and obtained the control for the case of rotation numbers of high type. In this paper, based on the pseudo-Siegel disk theory of Dudko and Lyubich, we obtained the control for the general case. |
| title | On postcritical sets of quadratic polynomials with a neutral fixed point |
| topic | Dynamical Systems Complex Variables |
| url | https://arxiv.org/abs/2407.14476 |