Gaussian analytic functions in the unit ball

DOI10.1007/S11856-015-1239-8zbMath1332.32006arXiv1402.1566OpenAlexW1593285431MaRDI QIDQ891187

Xavier Massaneda, Bharti Pridhnani, Jeremiah Buckley

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1566

zbMATH Keywords

Gaussian analytic functionsunit ball in \(\mathbb C^n\)

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Other generalizations of function theory of one complex variable (32A30) Random power series in one complex variable (30B20)

Related Items (1)

Gaussian analytic functions in the polydisk

Cites Work

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• Number variance of random zeros on complex manifolds. II: Smooth statistics
• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• Zeros of Gaussian analytic functions
• Random complex zeroes. I: Asymptotic normality
• Random complex zeroes. III: Decay of the hole probability
• The zeros of flat Gaussian random holomorphic functions on \(\mathbb C^n\), and hole probability
• Overcrowding and hole probabilities for random zeros on complex manifolds

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