Random complex zeroes, I. Asymptotic normality

Mikhail Sodin; Boris Tsirelson

doi:10.1007/BF02984409

Random complex zeroes, I. Asymptotic normality

Mikhail Sodin^*, Boris Tsirelson

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

95 Scopus citations

Abstract

We consider three models (elliptic, flat and hyperbolic) of Gaussian random analytic functions distinguished by invariance of their zeroes distribution. Asymptotic normality is proven for smooth functionals (linear statistics) of the set of zeroes.

Original language	English
Pages (from-to)	125-149
Number of pages	25
Journal	Israel Journal of Mathematics
Volume	144
DOIs	https://doi.org/10.1007/BF02984409
State	Published - 2004

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abstract = "We consider three models (elliptic, flat and hyperbolic) of Gaussian random analytic functions distinguished by invariance of their zeroes distribution. Asymptotic normality is proven for smooth functionals (linear statistics) of the set of zeroes.",

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Random complex zeroes, I. Asymptotic normality

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