Abstract
<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>
Citation
Sho Matsumoto. Tomoyuki Shirai. "Correlation functions for zeros of a Gaussian power series and Pfaffians." Electron. J. Probab. 18 1 - 18, 2013. https://doi.org/10.1214/EJP.v18-2545
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