A polynomial automorphism with a wandering Fatou component
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| Publication date | 14-05-2021 |
| Journal | Advances in Mathematics |
| Article number | 107650 |
| Volume | Issue number | 382 |
| Number of pages | 46 |
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| Abstract | We construct polynomial automorphisms with wandering Fatou components. The four-dimensional automorphisms H lie in a one-parameter family, depending on the parameter δ∈C∖{0}, and as δ→0 the automorphisms degenerate to the two-dimensional polynomial map P constructed in [2]. Our main result states that if P has a wandering domain, then H does too for δ sufficiently small. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1016/j.aim.2021.107650 |
| Published at | https://arxiv.org/abs/1807.02466 |
| Other links | https://www.scopus.com/pages/publications/85101529150 |
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A polynomial automorphism with a wandering Fatou component arxiv
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