Constructing subdivision rules from rational maps

J. W. Cannon, W. J. Floyd, R. Kenyon, and W. R. Parry
March 15, 2007


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.

PostScript file (346 Kb) pdf file (135 Kb)

Back to the list of papers . Back to the home page of Bill Floyd