Correlation functions for zeros of a Gaussian power series and Pfaffians

Sho Matsumoto, Tomoyuki Shirai

Research output: Contribution to journalArticle

3 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 languageEnglish
JournalElectronic Journal of Probability
Volume18
DOIs
Publication statusPublished - Apr 22 2013

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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