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arXiv · 2003.05906

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

Emilia Alvarez·Nina C. Snaith
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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.

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Emilia Alvarez, Nina C. Snaith. 2020-03-12. Moments of the logarithmic derivative of characteristic polynomials from $SO(N)$ and $USp(2N)$. https://doi.org/10.1063/5.0008423

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