Rational maps with constant Thurston pullback mapping

Guizhen Cui; Yiran Wang

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arXiv · 2507.04215

Rational maps with constant Thurston pullback mapping

Guizhen Cui·Yiran Wang

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Abstract

In this paper, we study CTP maps, that is, marked rational maps with constant Thurston pullback mapping. We prove that all the regular or mixing CTP polynomials satisfy McMullen's condition. Additionally, we construct a new class of examples of CTP maps.

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Guizhen Cui, Yiran Wang. 2025-07-06. Rational maps with constant Thurston pullback mapping. https://arxiv.org/abs/2507.04215

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