Random complex zeroes, I. Asymptotic normality

Details Random complex zeroes, I. Asymptotic normality Random complex zeroes, I. Asymptotic normality

2002-10-06

arxiv.org/abs/math/0210090v2

Israel Journal of Mathematics 144 (2004), 125--149.

Mathematics

Complex Variables

26 pages. Version 2 (final): the end of the proof corrected (sections 3.2, 3.3); small insertions to Introduction and Referenc

Scientific paper

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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