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

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-21
Primary Topic
Geometry and complex manifolds
Type
article
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article

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

ArXiv.org
Geometry and complex manifolds
article

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

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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.

ArXiv.org
Openalex Percentile: Top 41%
Geometry and complex manifolds
Open Access PDFOpenAlex
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A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections · ArXiv.org (2025) | TGRS Research Map | TGRS