Zeroes of Gaussian analytic functions
复变函数
2007-05-23 v1 数学物理
math.MP
概率论
摘要
Geometrically, zeroes of a Gaussian analytic function are intersection points of an analytic curve in a Hilbert space with a randomly chosen hyperplane. Mathematical physics provides another interpretation as a gas of interacting particles. In the last decade, these interpretations influenced progress in understanding statistical patterns in the zeroes of Gaussian analytic functions, and led to the discovery of canonical models with invariant zero distribution. We shall discuss some of recent results in this area and mention several open questions.
引用
@article{arxiv.math/0410343,
title = {Zeroes of Gaussian analytic functions},
author = {Mikhail Sodin},
journal= {arXiv preprint arXiv:math/0410343},
year = {2007}
}
备注
Talk at the 4th European Congress of Mathematics (Stockholm, 2004)