Non-bulging Baker domains for transcendental skew products
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908619104059392 |
|---|---|
| author | Benini, Anna Miriam Potthink, Tom Raissy, Jasmin |
| author_facet | Benini, Anna Miriam Potthink, Tom Raissy, Jasmin |
| contents | In this paper we show that Baker domains of transcendental skew products can either bulge or not, depending on the higher order terms. This is in contrast to polynomial skew products where all Fatou components with bounded orbits of an invariant attracting fiber do bulge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25526 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-bulging Baker domains for transcendental skew products Benini, Anna Miriam Potthink, Tom Raissy, Jasmin Dynamical Systems Complex Variables 37F80, 30D05, 32H50, 37F10 In this paper we show that Baker domains of transcendental skew products can either bulge or not, depending on the higher order terms. This is in contrast to polynomial skew products where all Fatou components with bounded orbits of an invariant attracting fiber do bulge. |
| title | Non-bulging Baker domains for transcendental skew products |
| topic | Dynamical Systems Complex Variables 37F80, 30D05, 32H50, 37F10 |
| url | https://arxiv.org/abs/2510.25526 |