Rigidity of the Julia set for Hénon-Sibony maps
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913147973009408 |
|---|---|
| author | Vigny, Gabriel |
| author_facet | Vigny, Gabriel |
| contents | Let $f$ and $g$ be two Hénon-Sibony maps of $\mathbb{C}^k$. We show that if they have the same forward Julia set, then they share a common iterate, thereby extending Lamy's results from dimension 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20935 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rigidity of the Julia set for Hénon-Sibony maps Vigny, Gabriel Dynamical Systems Complex Variables 37A25, 37A50, 37F80 Let $f$ and $g$ be two Hénon-Sibony maps of $\mathbb{C}^k$. We show that if they have the same forward Julia set, then they share a common iterate, thereby extending Lamy's results from dimension 2. |
| title | Rigidity of the Julia set for Hénon-Sibony maps |
| topic | Dynamical Systems Complex Variables 37A25, 37A50, 37F80 |
| url | https://arxiv.org/abs/2605.20935 |