Rational maps with constant Thurston pullback mapping
Guizhen Cui, Yiran Wang
TL;DR
This paper investigates a special class of rational maps with constant Thurston pullback, proving certain conditions are met and introducing new examples of such maps.
Contribution
It establishes that all regular or mixing CTP polynomials satisfy McMullen's condition and constructs new classes of CTP maps.
Findings
All regular or mixing CTP polynomials satisfy McMullen's condition.
Constructed new examples of CTP maps.
Enhanced understanding of the structure of CTP maps.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.