2 papers
math.DS2024
On postcritical sets of quadratic polynomials with a neutral fixed point
Hongyu Qu
The control of postcritical sets of quadratic polynomials with a neutral fixed point is a main ingredient in the remarkable work of Buff and Chéritat to construct quadratic Julia s…
math.DS2023
On quadratic Siegel disks with a class of unbounded type rotation numbers
Hongyu Qu, Jianyong Qiao, Guangyuan Zhang
In this paper we explore a class of quadratic polynomials having Siegel disks with unbounded type rotation numbers. We prove that any boundary point of Siegel disks of these polyno…