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Perturbed Basins of Attraction

Han Peters
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Abstract

Let F be an automorphism of C^k which has a fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C^k. We will show that the basin of attraction of a sequence of automorphisms is also biholomorphic to C^k if all the automorphisms are small perturbations of the original map F.

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Han Peters. 2004-11-15. Perturbed Basins of Attraction. https://arxiv.org/abs/math/0411339

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