Correlation functions for zeros of a Gaussian power series and Pfaffians

Sho Matsumoto; Tomoyuki Shirai

doi:10.1214/EJP.v18-2545

Correlation functions for zeros of a Gaussian power series and Pfaffians

Sho Matsumoto, Tomoyuki Shirai

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Journal	Electronic Journal of Probability
Volume	18
DOIs	https://doi.org/10.1214/EJP.v18-2545
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/EJP.v18-2545

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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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AU - Matsumoto, Sho

AU - Shirai, Tomoyuki

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JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

ER -

Correlation functions for zeros of a Gaussian power series and Pfaffians

Abstract

All Science Journal Classification (ASJC) codes

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