Asymptotics of non-integer moments of the logarithmic derivative of characteristic polynomials over \(SO(2N+1)\)

Asymptotics of non-integer moments of the logarithmic derivative of characteristic polynomials over \(SO(2N+1)\)

This work computes the asymptotics of the non-integer moments of the logarithmic derivative of characteristic polynomials of matrices from the \(SO(2N+1)\) ensemble. It follows from work of Alvarez and Snaith who computed the asymptotics of the integer moments of the same statistic over both \(SO(N)...

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Veröffentlicht in:arXiv.org 2023-03
Hauptverfasser: Alvarez, Emilia, Bousseyroux, Pierre, Snaith, Nina C
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Integers
Logarithms
Polynomials
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Zusammenfassung:This work computes the asymptotics of the non-integer moments of the logarithmic derivative of characteristic polynomials of matrices from the \(SO(2N+1)\) ensemble. It follows from work of Alvarez and Snaith who computed the asymptotics of the integer moments of the same statistic over both \(SO(N)\) ensembles as well as the \(USp(2N)\) ensemble.
ISSN:2331-8422