7 citations · 22 across the 18 of their papers we have counts for
6 papers · 1 filter
Perturbations of graphs for Newton maps
Yan Gao, Hongming Nie
We study the convergence of graphs consisting of finitely many internal rays for degenerating Newton maps. We state a sufficient condition to guarantee the convergence. As an appli…
The landing of parameter rays at non-recurrent critical portraits
Yan Gao, Jinsong Zeng
Based on the distortion theory developed by Cui--Tan \cite{CT15}, we prove the landing of every parameter ray at critical portraits coming from non-recurrent polynomials, thereby g…
Invariant graphs of rational maps
Guizhen Cui, Yan Gao, Jinsong Zeng
Let be a postcritically finite rational map. We prove that, as large enough, there exists an -invariant (finite connected) graph on such that it…
Degree-d-invariant laminations
William P. Thurston, Hyungryul Baik, Yan Gao +4
Degree--invariant laminations of the disk model the dynamical action of a degree- polynomial; such a lamination defines an equivalence relation on that corresponds to d…
Density of hyperbolicity of real Newton maps
Yan Gao
In this paper, based on the known rigidity theorems of Newton maps ([DS], [RYZ]) and real polynomials ([KSS1], [CvS]), we prove the density of hyperbolicity in the family of real N…
On the core entropy of Newton maps
Yan Gao
In this paper, we define the core entropy for postcritically-finite Newton maps and study its continuity within this family. We show that the entropy function is not continuous in…