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Regular Polynomial Endomorphisms of C^k

Eric Bedford·Mattias Jonsson
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Abstract

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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Eric Bedford, Mattias Jonsson. 1998-05-18. Regular Polynomial Endomorphisms of C^k. https://arxiv.org/abs/math/9805080

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