Thurston type Theorem for sub-hyperbolic rational maps
Dynamical Systems
2008-11-25 v2 Complex Variables
Abstract
In 1980's, Thurston established a combinatorial characterization for post-critically finite rational maps. This criterion was then extended by Cui, Jiang, and Sullivan to sub-hyperbolic rational maps. The goal of this paper is to present a new but simpler proof of this result by adapting the argument in the proof of Thurston's Theorem.
Keywords
Cite
@article{arxiv.0811.3042,
title = {Thurston type Theorem for sub-hyperbolic rational maps},
author = {Gaofei Zhang and Yunping Jiang},
journal= {arXiv preprint arXiv:0811.3042},
year = {2008}
}
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27 pages