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arxiv: math/9805080 · v1 · submitted 1998-05-18 · 🧮 math.DS · math.CV

Regular Polynomial Endomorphisms of C^k

classification 🧮 math.DS math.CV
keywords dynamicspolynomialapproachboundedcontinuouslydegreedescentendomorphisms
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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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