A two-dimensional polynomial mapping with a wandering Fatou component
| Authors |
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| Publication date | 07-2016 |
| Journal | Annals of Mathematics |
| Volume | Issue number | 184 | 1 |
| Pages (from-to) | 263-313 |
| Organisations |
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| Abstract | We show that there exist polynomial endomorphisms of C2, possessing a wandering Fatou component. These mappings are polynomial skew-products, and can be chosen to extend holomorphically of P2(C). We also find real examples with wandering domains in R2. The proof relies on parabolic implosion techniques and is based on an original idea of M. Lyubich. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.4007/annals.2016.184.1.2
(Final published version)
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| Published at |
https://arxiv.org/abs/1411.1188
(Submitted manuscript)
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| Downloads |
A two-dimensional polynomial mapping with a wandering Fatou component arxiv
(Submitted manuscript)
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