Zero correlations and averaged fields of orthonormal Gaussian functions

Luís Daniel Abreu, Tomoyuki Shirai

We consider the family of point processes $\{{\mathcal{Z}}_{f_n}{\}}_{n=0}^{\infty }$ of zeros of Gaussian random functions $\{f_n(z,\overline{z}){\}}_{n=0}^{\infty }$, arising from t…