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arXiv:1212.6108 [math.PR]AbstractReferencesReviewsResources

Correlation functions for zeros of a Gaussian power series and Pfaffians

Sho Matsumoto, Tomoyuki Shirai

Published 2012-12-26, updated 2013-04-16Version 2

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.

Comments: 22 pages, the final version
Journal: Electronic Journal of Probability 18 (2013), no. 49, 1--18
Categories: math.PR
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