Hole probability for entire functions represented by Gaussian Taylor series

DOI10.1007/s11854-012-0042-2zbMath1284.60111arXiv1105.5734OpenAlexW1984225626MaRDI QIDQ355967

Alon Nishry

Publication date: 25 July 2013

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5734

zbMATH Keywords

Gaussian entire functionsGaussian Taylor serieshole probability

Mathematics Subject Classification ID

Stochastic processes (60G99) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (4)

Hole probability for zeroes of Gaussian Taylor series with finite radii of convergence ⋮ 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

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• The hole probability for Gaussian entire 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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