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Dynamics of regular polynomial endomorphisms of Ck
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 122, Number 1, February 2000
- pp. 153-212
- 10.1353/ajm.2000.0001
- Article
- Additional Information
A regular polynomial self-mapping of complex Euclidean space has a continuous extension to the hyperplane at infinity. The induced mapping at infinity is used to describe the dynamics of the self-mapping in a neighborhood of infinity. A theory of external rays is developed to provide the connection between the behavior at infinity and the behavior on the finite plane.