Constructing subdivision rules from rational maps
J. W. Cannon, W. J. Floyd, R. Kenyon, and W. R. Parry
March 15, 2007
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
$f^{\circ n}$ is the subdivision map of a finite subdivision rule.
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