2 papers
math.DS2026
Polynomial Curve Systems are Exponentially Decaying
Shuyi Wang, Gaofei Zhang
The existence of a finite global attractor for polynomial curve system has been known since the work of Belk et al. [5]. However, except in the hyperbolic case, the rate at which t…
math.DS2025
Local connectivity of Julia sets of some rational maps with Siegel disks
Shuyi Wang, Fei Yang, Gaofei Zhang +1
We prove that a long iteration of rational maps is expanding near boundaries of bounded type Siegel disks. This leads us to extend Petersen's local connectivity result on the Julia…