Zero processes of random analytic functions

随机多项式(或随机解析函数)的零点在复平面上形成随机点的构形。这不同于在复平面上均匀随机采样得到的所谓泊松随机构型，它们的点是相互排斥的，而泊松随机点往往形成弱聚集。我们阐明了这些点构型的区别。

The zeros of a random polynomial (or a random analytic function) form a random point configuration in the complex plane. This is different from the so-called Poisson random configuration which is obtained by uniformly random sampling in the complex plane, and their points are mutually repulsive nature while Poisson random points often form weak clustering. We clarify the difference of these point configurations.