English

Hole probabilities of random zeros on compact Riemann surfaces

Complex Variables 2024-07-02 v2 Algebraic Geometry Probability

Abstract

We establish a convergence speed estimate for hole probabilities of zeros of random holomorphic sections on compact Riemann surfaces.

Keywords

Cite

@article{arxiv.2406.19114,
  title  = {Hole probabilities of random zeros on compact Riemann surfaces},
  author = {Hao Wu and Song-Yan Xie},
  journal= {arXiv preprint arXiv:2406.19114},
  year   = {2024}
}