A characterization of Sierpinski carpet Rational maps
Dynamical Systems
2015-12-01 v1
Abstract
In this paper, we prove that a postcritically finite rational map with non-empty Fatou set is Thurstion equivalent to an expanding Thurston map if and only if its Julia set is homeomorphic to the standard Sierpinski carpet
Keywords
Cite
@article{arxiv.1511.09191,
title = {A characterization of Sierpinski carpet Rational maps},
author = {Yan Gao and Jinsong Zeng and Suo Zhao},
journal= {arXiv preprint arXiv:1511.09191},
year = {2015}
}