Jinsong Zeng

collaborators

3 papers

math.DS2026

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 $f_{I^} » (z) = z^{n} + I^»/ z^{n}$ with $I^» \in C^{*}$ and $n \geq 2$ , and prove…

math.DS2026

Polynomials in molecules

Yan Gao, Jinsong Zeng

This paper characterizes polynomials within molecules. We show that a geometrically finite polynomial of degree $d \geq 2$ lies in a molecule if and only if all its critical points b…

math.DS2024

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 $f$ on the Riemann sphere $C$ , and for each sufficiently large integer $n$ , there exist…