Regular Polynomial Endomorphisms of C^k

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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.
54 pages. PostScript figures

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Dynamical Systems, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/76937

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9805080
 http://arxiv.org/abs/math/9805080

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arXiv