Perturbed Basins of Attraction |
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| Authors: | Han Peters |
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| Institution: | (1) Department of Mathematics, University of Michigan, Ann Arbor, MI, United States |
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| Abstract: | Let F be an automorphism of  which has an attracting fixed point. It is well known that the basin of attraction is biholomorphically equivalent to . We will show that the basin of attraction of a sequence of automorphisms f
1, f
2, . . . is also biholomorphic to if every f
n
is a small perturbation of the original map F. |
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| Keywords: | 32H50 32H02 |
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