Correlation functions for zeros of a Gaussian power series and Pfaffians
classification
🧮 math.PR
keywords
powerseriesgaussianpfaffianszerosabsolutecoefficientscorrelation
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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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