Random complex zeroes, I. Asymptotic normality
复变函数
2007-05-23 v2 数学物理
math.MP
概率论
摘要
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.
引用
@article{arxiv.math/0210090,
title = {Random complex zeroes, I. Asymptotic normality},
author = {Mikhail Sodin and Boris Tsirelson},
journal= {arXiv preprint arXiv:math/0210090},
year = {2007}
}
备注
26 pages. Version 2 (final): the end of the proof corrected (sections 3.2, 3.3); small insertions to Introduction and References