Rational maps with constant Thurston pullback mapping
Dynamical Systems
2025-07-08 v1
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.
Keywords
Cite
@article{arxiv.2507.04215,
title = {Rational maps with constant Thurston pullback mapping},
author = {Guizhen Cui and Yiran Wang},
journal= {arXiv preprint arXiv:2507.04215},
year = {2025}
}