Moments of the logarithmic derivative of characteristic polynomials from SO(2N) and USp(2N)

Emilia Alvarez*, Nina C Snaith*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

We study moments of the logarithmic derivative of characteristic polynomials of orthogonal and symplectic random matrices. In particular, we compute the asymptotics for large matrix size, N, of these moments evaluated at points which are approaching 1. This follows work of Bailey, Bettin, Blower, Conrey, Prokhorov, Rubinstein and Snaith where they compute these asymptotics in the case of unitary random matrices.
Original languageEnglish
Article number103506 (2020)
JournalJournal of Mathematical Physics
Volume61
Early online date8 Oct 2020
DOIs
Publication statusE-pub ahead of print - 8 Oct 2020

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