Random zeros on complex manifolds: conditional expectations

DOI10.1017/S1474748011000041zbMath1222.32036arXiv1005.4166OpenAlexW2963386526MaRDI QIDQ3012896

Qi Zhong, Bernard Shiffman, Steven Zelditch

Publication date: 7 July 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4166

zbMATH Keywords

random holomorphic sectionsSzegö kernelzeros of random polynomials

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Zero sets of holomorphic functions of several complex variables (32A60)

Related Items (1)

Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields

Cites Work

• Number variance of random zeros on complex manifolds
• Level spacings distribution for large random matrices: Gaussian fluctuations
• Distribution of zeros of random and quantum chaotic sections of positive line bundles
• Universality and scaling of correlations between zeros on complex manifolds
• The continuity of the fiber integral
• Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
• Correlations between zeros and supersymmetry
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