7 citations · 22 across the 18 of their papers we have counts for
18 papers
Rigidity of McMullen Julia sets
Yan Gao, Luxian Yang, Jinsong Zeng
We provide a complete quasisymmetric classification of the Julia sets of postcritically finite McMullen maps with and , and prove tha…
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…
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…
The core entropy for polynomials of higher degree
Yan Gao, Giulio Tiozzo
As defined by W. Thurston, the core entropy of a polynomial is the entropy of the restriction to its Hubbard tree. For each d >= 2, we study the core entropy as a function on the p…
Non-recurrent parameter rays of the Mandelbrot set
Yan Gao, Jinsong Zeng
In this paper, we prove that any parameter ray at a non-recurrent angle lands at a non-recurrent parameter with a characteristic angle of ; and conversely, every n…
A characterization of Sierpinski carpet Rational maps
Yan Gao, Jinsong Zeng, Suo Zhao
In this paper, we prove that a postcritically finite rational map with non-empty Fatou set is Thurstion equivalent to an expanding Thurston map if and only if its Julia set is home…
Invariant Jordan curves of Sierpiski carpet rational maps
Yan Gao, Peter Haïssinsky, Daniel Meyer +1
In this paper, we prove that if is a postcritically finite rational map with Julia set homeomorphic to the Sierpiński carpet, t…
On thurston's core entropy algorithm dedicated to the memory of tan lei
Yan Gao
The core entropy of polynomials, recently introduced by W. Thurston, is a dy-namical invariant extending topological entropy for real maps to complex polynomials, whence providing…
Rational maps as Schwarzian primitives
Guizhen Cui, Yan Gao, Lei Tan +1
We study necessary and sufficient conditions for a meromorphic quadratic differential with prescribed poles to be the Schwarzian derivative of a rational map. We give geometric int…
Wandering continua for rational maps
Guizhen Cui, Yan Gao
We prove that a Latt' es map admits an eventually simply-connected wandering continuum precisely when it is flexible. The simply-connected wandering continuum is a line segment in…
The dynatomic curves for unimodel polynomials are smooth and irreducible
Yan Gao, Ya Fei Ou
We prove here the smoothness and the irreducibility of the periodic dynatomic curves $ (c,z)\in \C^2$ such that is -periodic for , where . We use the method p…
Preperiodic dynatomic curves for z-\textgreater{}z^d+c
Yan Gao
We study the preperiodic dynatomic curves , the closure of set of $(c,z)\in \C^2$ such that is a preperiodic point of with preperiod and period $…