Teichmüller spaces and normal forms associated to wandering domains
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917115654569984 |
|---|---|
| author | Fagella, Núria Ferreira, Gustavo R. Pardo-Simón, Leticia |
| author_facet | Fagella, Núria Ferreira, Gustavo R. Pardo-Simón, Leticia |
| contents | We study the dynamical Teichmüller space ${\mathcal T}(U,f)$ associated to a wandering domain $U$ of an entire function $f$. We show that a discrete grand orbit relation in $U$ forces ${\mathcal T}(U,f)$ to be infinite dimensional, thereby answering a question of Fagella--Henriksen. We further describe the geometry of these spaces by developing normal forms for the dynamics on wandering domains, yielding global linearising coordinates in the discrete case and power-type dynamics between annuli in the indiscrete case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01136 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Teichmüller spaces and normal forms associated to wandering domains Fagella, Núria Ferreira, Gustavo R. Pardo-Simón, Leticia Dynamical Systems 37F10, 37F34, 37F40 We study the dynamical Teichmüller space ${\mathcal T}(U,f)$ associated to a wandering domain $U$ of an entire function $f$. We show that a discrete grand orbit relation in $U$ forces ${\mathcal T}(U,f)$ to be infinite dimensional, thereby answering a question of Fagella--Henriksen. We further describe the geometry of these spaces by developing normal forms for the dynamics on wandering domains, yielding global linearising coordinates in the discrete case and power-type dynamics between annuli in the indiscrete case. |
| title | Teichmüller spaces and normal forms associated to wandering domains |
| topic | Dynamical Systems 37F10, 37F34, 37F40 |
| url | https://arxiv.org/abs/2512.01136 |