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Hubbard forests

Published online by Cambridge University Press:  08 November 2011

ALFREDO POIRIER
ALFREDO POIRIER*
Affiliation:
Departmento de Ciencias, Sección Matemáticas, Pontificia Universidad Católica del Perú, Apartado 1761, Lima 100, Perú (email: apoirie@pucp.edu.pe)
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Abstract

The theory of Hubbard trees provides an effective classification of nonlinear postcritically finite polynomial maps in ℂ. This note extends the classification to maps from a finite union of copies of ℂ to itself. Holomorphic proper maps on a finite union of copies of ℂ which are postcritically finite and nowhere linear can be characterized by a ‘forest’ made up of one tree for each copy of the set of complex numbers.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 1 , February 2013 , pp. 303 - 317
Copyright
Copyright © Cambridge University Press 2011

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