Constructing subdivision rules from rational maps

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This paper deepens the connections between critically finite rational maps and finite subdivision rules. The main theorem is that if f is a critically finite rational map with no periodic critical points, then for any sufficiently large integer n the iterate f^n is the subdivision map of a finite subdivision rule.
10 pages

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Dynamical Systems, 37F10; 52C20

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http://salesiana.dossiersoluciones.com/handle/123456789/125844

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703475
 http://arxiv.org/abs/math/0703475

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arXiv