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arXiv · 0811.3042

Thurston type Theorem for sub-hyperbolic rational maps

Gaofei Zhang·Yunping Jiang
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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.

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Gaofei Zhang, Yunping Jiang. 2008-11-25. Thurston type Theorem for sub-hyperbolic rational maps. https://arxiv.org/abs/0811.3042

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