Regular Polynomial Endomorphisms of C^k

Details Regular Polynomial Endomorphisms of C^k Regular Polynomial Endomorphisms of C^k

1998-05-18

arxiv.org/abs/math/9805080v1

Mathematics

Dynamical Systems

54 pages. PostScript figures

Scientific paper

We study the dynamics of polynomial mappings f:C^k to C^k of degree at least
2 that extend continuously to projective space P^k. Our approach is to study
the dynamics near the hyperplane at infinity and then making a descent to K ---
the set of points with bounded orbits --- via external rays.

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