2008/11/19 by Gaofei Zhang, Zhang, Gaofei, Yunping Jiang +1
Mathematics · Physics and Astronomy · #37F10 #58F23 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.CV #math.DS #msc:37F10 #msc:58F23
paper · pdf · doi:10.48550/arxiv.0811.3042
27 pages
openalex publication_date 2008/11/19 · arxiv created 2008/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.