2 citations · 4 across the 7 of their papers we have counts for
8 papers
Monotonicity of entropy for unimodal real quadratic rational maps
Yan Gao
We show that the topological entropy is monotonic for unimodal interval maps which are obtained from the restriction of quadratic rational maps with real coefficients. This is done…
On rational maps with buried critical points
Yan Gao, Luxian Yang, Jinsong Zeng
In this paper, we construct geometrically finite rational maps with buried critical points on the boundaries of some hyperbolic components by using the pinching and plumbing deform…
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…
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…