Expansion properties for finite subdivision rules II
Dynamical Systems
2019-08-22 v1
Abstract
We prove that every sufficiently large iterate of a Thurston map which is not doubly covered by a torus endomorphism and which does not have a Levy cycle is isotopic to the subdivision map of a finite subdivision rule. We determine which Thurston maps doubly covered by a torus endomorphism have iterates that are isotopic to subdivision maps of finite subdivision rules. We give conditions under which no iterate of a given Thurston map is isotopic to the subdivision map of a finite subdivision rule.
Keywords
Cite
@article{arxiv.1908.07571,
title = {Expansion properties for finite subdivision rules II},
author = {William Floyd and Walter Parry and Kevin M. Pilgrim},
journal= {arXiv preprint arXiv:1908.07571},
year = {2019}
}
Comments
24 pages, 7 figures