English

A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections

Complex Variables 2025-04-22 v1 Probability

Abstract

This is a survey of results concerning the asymptotic equilibrium distribution of zeros of random holomorphic polynomials and holomorphic sections of high powers of a positive line bundle, as related to the authors' recent work. Our primary focus is on the role of pluripotential theory in this research area.

Keywords

Cite

@article{arxiv.2504.15083,
  title  = {A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections},
  author = {George Marinescu and Duc-Viet Vu},
  journal= {arXiv preprint arXiv:2504.15083},
  year   = {2025}
}