A two-dimensional polynomial mapping with a wandering Fatou component
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 is based on parabolic implosion techniques, and is based on an original idea of M. Lyubich.
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