Collet-Eckmann maps in the unicritical family
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914215538720768 |
|---|---|
| author | Aspenberg, Magnus Bylund, Mats Cui, Weiwei |
| author_facet | Aspenberg, Magnus Bylund, Mats Cui, Weiwei |
| contents | In this paper we study perturbations of complex unicritical polynomials satisfying the Collet-Eckmann condition. We show that Collet-Eckmann parameters are Lebesgue density points of the complement of the Mandelbrot set (i.e. the connectedness locus). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19256 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Collet-Eckmann maps in the unicritical family Aspenberg, Magnus Bylund, Mats Cui, Weiwei Dynamical Systems 37F10, 37F12, 37F15 In this paper we study perturbations of complex unicritical polynomials satisfying the Collet-Eckmann condition. We show that Collet-Eckmann parameters are Lebesgue density points of the complement of the Mandelbrot set (i.e. the connectedness locus). |
| title | Collet-Eckmann maps in the unicritical family |
| topic | Dynamical Systems 37F10, 37F12, 37F15 |
| url | https://arxiv.org/abs/2402.19256 |