13 citations · 33 across the 14 of their papers we have counts for
16 papers
Non-uniqueness of characteristic curves of folding rational maps
Luxian Yang, Jinsong Zeng
A folding rational map is a postcritically finite rational map admitting an essential Jordan curve , disjoint from the postcritical set , whose preimage is disconnected…
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…
Polynomials in molecules
Yan Gao, Jinsong Zeng
This paper characterizes polynomials within molecules. We show that a geometrically finite polynomial of degree lies in a molecule if and only if all its critical points b…
Invariant graphs in Julia sets and decompositions of rational maps
Guizhen Cui, Yan Gao, Jinsong Zeng
In this paper, we prove that for any post-critically finite rational map on the Riemann sphere , and for each sufficiently large integer , there exist…
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…
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…
Rigidity of non-renormalizable Newton maps
Pascale Roesch, Yongcheng Yin, Jinsong Zeng
Non-renormalizable Newton maps are rigid. More precisely, we prove that their Julia set carries no invariant line fields and that the topological conjugacy is equivalent to quasi-c…
Dynamics of Newton maps
Xiaoguang Wang, Yongcheng Yin, Jinsong Zeng
In this paper, we study the dynamics of Newton maps for arbitrary polynomials. Let be an arbitrary polynomial with at least three distinct roots, and be its Newton map. It…
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…
Criterion for rays landing together
Jinsong Zeng
We give a criterion to determine when two external rays land at the same point for polynomials with locally connected Julia sets. As an application, we provide an elementary proof…
Quasisymmetric geometry of Sierpinski carpet Julia sets
Weiyuan Qiu, Fei Yang, Jinsong Zeng
In this paper, the main focus is on the Sierpinski carpet Julia sets of the rational maps with non-recurrent critical points. We study the uniform quasicircle property of the perip…
On the dynamics of a family of renormalization transformations
Fei Yang, Jinsong Zeng
We study the family of renormalization transformations of the generalized --dimensional diamond hierarchical Potts model in statistical mechanic and prove that their Julia sets…
Quasisymmetric rigidity of Sierpinski carpets
Jinsong Zeng, Weixu Su
We study a new class of square Sierpiński carpets () on , which are not quasisymmetrically equivalent to the standard Sierpi…