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arXiv · 1212.6108

Correlation functions for zeros of a Gaussian power series and Pfaffians

Sho Matsumoto·Tomoyuki Shirai
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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.

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Sho Matsumoto, Tomoyuki Shirai. 2013-04-16. Correlation functions for zeros of a Gaussian power series and Pfaffians. https://doi.org/10.1214/ejp.v18-2545

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