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

2025/04/21 by Marinescu, George, Vu, Duc-Viet · 2 citations
#Complex Variables (math.CV) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2504.15083

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.

Cited by

• On the Localization of the Christoffel-Darboux Kernel
• Bernstein-Markov measures and Toeplitz theory

Related

• Equidistribution of Zeros of Random Holomorphic Sections for Moderate Measures
• Equidistribution for Random Polynomials and Systems of Random Holomorphic Sections
• Distribution of Normalized Zero-Sets of Random Entire Functions
• Energy of zeros of random sections on Riemann Surface
• Number variance of random zeros