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2013 Correlation functions for zeros of a Gaussian power series and Pfaffians
Sho Matsumoto, Tomoyuki Shirai
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Electron. J. Probab. 18: 1-18 (2013). DOI: 10.1214/EJP.v18-2545


<p class="p1">We show that the zeros of the random power series with i.i.d. real Gaussian coefficients form a Pfaffian point process. We also show that the product moments for absolute values and signatures of the power series can also be expressed by Pfaffians.</p>


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Sho Matsumoto. Tomoyuki Shirai. "Correlation functions for zeros of a Gaussian power series and Pfaffians." Electron. J. Probab. 18 1 - 18, 2013.


Accepted: 15 April 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1291.60102
MathSciNet: MR3048121
Digital Object Identifier: 10.1214/EJP.v18-2545

Primary: 60G55
Secondary: 30B20 , 30C15 , 60G15

Keywords: Gaussian power series , Pfaffian , point process , Zeros

Vol.18 • 2013
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