Correlation functions for zeros of a Gaussian power series and Pfaffians
Probability
2013-04-17 v2
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.
Keywords
Cite
@article{arxiv.1212.6108,
title = {Correlation functions for zeros of a Gaussian power series and Pfaffians},
author = {Sho Matsumoto and Tomoyuki Shirai},
journal= {arXiv preprint arXiv:1212.6108},
year = {2013}
}
Comments
22 pages, the final version