Thurston type Theorem for sub-hyperbolic rational maps
classification
🧮 math.DS
math.CV
keywords
mapsrationalthurstonproofsub-hyperbolictheoremadaptingargument
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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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