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Rational maps with constant Thurston pullback mapping

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arxiv 2507.04215 v1 pith:C5UW3DXT submitted 2025-07-06 math.DS

Rational maps with constant Thurston pullback mapping

classification math.DS
keywords mapsconstantmappingpullbackrationalthurstonadditionallyclass
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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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