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math.CV2025
Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces
Hao Wu
We obtain the asymptotic behavior of hole probability for random holomorphic sections on a compact Riemann surface with respect to the hole size.
math.CV2024
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.
math.CV2023
Entire curves generating all shapes of Nevanlinna currents
Hao Wu, Song-Yan Xie
First, we show that every complex torus contains some entire curve such that the concentric holomorphic discs $\{g\restriction_{\…