Constructing subdivision rules from rational maps
Dynamical Systems
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0703475,
title = {Constructing subdivision rules from rational maps},
author = {J. W. Cannon and W. J. Floyd and W. R. Parry},
journal= {arXiv preprint arXiv:math/0703475},
year = {2007}
}
Comments
10 pages