2 papers
math.CV2026
Frequently hypercyclic meromorphic curves with slow growth
Zhangchi Chen, Bin Guo, Song-Yan Xie
We construct entire curves in projective spaces that exhibit frequent hypercyclicity under translations along countably many prescribed directions while maintaining optimal slow gr…
math.CV2025
Generating all Ahlfors currents by a single entire curve
Yunling Chen, John Erik Fornæss, Song-Yan Xie
Let \(X\) be a compact complex manifold possessing the \emph{Runge approximation property on discs}, meaning that every holomorphic map from a closed disc into \(X\) is approximabl…