2 papers
math.DS2026
Hyperbolic area of Fatou components and new proofs of no-wandering-domain theorems
Zihao Ye
We give a new elementary proof of Sullivan's no-wandering-domain theorem for rational maps of degree at least two using hyperbolic area. We then develop this method further to prov…
math.DS2025
On a question of Astorg and Boc Thaler
Zhangchi Chen, Zihao Ye, Weizhe Zheng
Astorg and Boc Thaler studied the dynamics of certain skew-products tangent to the identity on , with two real parameters and derived from its coefficie…