The hole probability for Gaussian entire functions

DOI10.1007/s11856-011-0136-zzbMath1260.60104arXiv0909.1270OpenAlexW2962820333MaRDI QIDQ1758952

Alon Nishry

Publication date: 19 November 2012

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

Full work available at URL: https://arxiv.org/abs/0909.1270

zbMATH Keywords

Gaussian entire functionshole probabilityWiman-Valirom theory

Mathematics Subject Classification ID

Stochastic processes (60G99) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

Hole probability for entire functions represented by Gaussian Taylor series ⋮ Hole probabilities for \(\beta\)-ensembles and determinantal point processes in the complex plane ⋮ Point processes, hole events, and large deviations: random complex zeros and Coulomb gases ⋮ Analytic Gaussian functions in the unit disc: probability of zeros absence

Cites Work

• Zeros of Gaussian analytic functions
• Random complex zeroes. III: Decay of the hole probability
• Asymptotics of the Hole Probability for Zeros of Random Entire Functions
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
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