(1) School of Mathematics, Tel Aviv University, Ramal Aviv, 69978 Tel Aviv, Israel
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. Supported by the Israel Science Foundation of the Israel Academy of Sciences and Humanities.
