Thurston type Theorem for sub-hyperbolic rational maps

Details Thurston type Theorem for sub-hyperbolic rational maps Thurston type Theorem for sub-hyperbolic rational maps

2008-11-19

arxiv.org/abs/0811.3042v2

Mathematics

Dynamical Systems

27 pages

Scientific paper

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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