Constructing subdivision rules from rational maps

Details Constructing subdivision rules from rational maps Constructing subdivision rules from rational maps

2007-03-16

arxiv.org/abs/math/0703475v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

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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