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arXiv · 1110.3131

Cut and semi-conjugate

Vladlen Timorin
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Abstract

We define a very general class of rational functions f:CP^1 --> CP^1 such that for every function f of this class, there exists a countable family of smooth curves γ_i and a critically finite hyperbolic function R such that the dynamical system obtained from f by cutting along the curves γ_i is topologically semi-conjugate to R.

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Vladlen Timorin. 2011-10-14. Cut and semi-conjugate. https://arxiv.org/abs/1110.3131

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