Correlation functions for zeros of a Gaussian power series and Pfaffians
arXiv:1212.6108 · doi:10.1214/EJP.v18-2545
Abstract
We show that the zeros of the random power series with i.i.d. real Gaussian coefficients form a Pfaffian point process. We further show that the product moments for absolute values and signatures of the power series can also be expressed by Pfaffians.
22 pages, the final version