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Hubbard Forests

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.

Autor(es):
Poirier, Alfredo
Año: 2013
Título de la revista: Ergodic Theory and Dynamical Systems
Volumen: 33
Página inicial - Página final: 303-317
ISSN: 0143-3857
Url: http://dx.doi.org/10.1017/S0143385711000733