AI 中文总结
针对边界不含临界点的带Cremer点或Siegel圆盘的二次多项式，研究人员利用Siegel返回机制与伪Siegel圆盘理论，给出其Julia集具有正面积的算术条件。
AI 中文摘要
本文针对具有Cremer点或Siegel圆盘且边界不含临界点的二次多项式，给出其Julia集具有正面积的算术条件。我们的证明依赖于Siegel返回机制以及Dudko和Lyubich提出的伪Siegel圆盘理论。
英文摘要
In this paper, for quadratic polynomials with Cremer points or Siegel disks whose boundaries don't contain critical points, we give an arithmetic condition for their Julia sets to have positive area. Our proof relies on the Siegel Return Machinery as well as the pseudo-Siegel disk theory developed by Dudko and Lyubich.
Comments68 pages, 7 figures
