Correlation functions for zeros of a Gaussian power series and Pfaffians

Sho Matsumoto, Tomoyuki Shirai

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

抄録

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.

元の言語英語
ジャーナルElectronic Journal of Probability
18
DOI
出版物ステータス出版済み - 4 22 2013

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Pfaffian
Power series
Correlation Function
Product Moments
Zero
Point Process
Absolute value
Signature
Coefficient
Coefficients
Point process

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

これを引用

Correlation functions for zeros of a Gaussian power series and Pfaffians. / Matsumoto, Sho; Shirai, Tomoyuki.

:: Electronic Journal of Probability, 巻 18, 22.04.2013.

研究成果: ジャーナルへの寄稿記事

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