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Constructing subdivision rules from rational maps

J. W. Cannon·W. J. Floyd·W. R. Parry
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Abstract

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.

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J. W. Cannon, W. J. Floyd, W. R. Parry. 2007-03-16. Constructing subdivision rules from rational maps. https://arxiv.org/abs/math/0703475

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