%0 Journal Article
%T Thurston type Theorem for sub-hyperbolic rational maps
%A Gaofei Zhang
%A Yunping Jiang
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0811.3042v2