Perturbed Basins of Attraction
نویسنده
چکیده
Let F be an automorphism of C which has an attracting fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C. We will show that the basin of attraction of a sequence of automorphisms f1, f2, . . . is also biholomorphic to C if every fn is a small perturbation of the original map F .
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