4 papers
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…
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…
Hole probabilities of random zeros on compact Riemann surfaces
Hao Wu, Song-Yan Xie
We establish a convergence speed estimate for hole probabilities of zeros of random holomorphic sections on compact Riemann surfaces.
Universal holomorphic maps with slow growth II. functional analysis methods
Bin Guo, Song-Yan Xie
By means of hypercyclic operator theory, we complement our previous results on hypercyclic holomorphic maps between complex Euclidean spaces having slow growth rates,by showing {\i…