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arXiv · 2303.07813

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

Emilia Alvarez·Pierre Bousseyroux·Nina C. Snaith
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Abstract

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.

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Emilia Alvarez, Pierre Bousseyroux, Nina C. Snaith. 2023-03-14. Asymptotics of non-integer moments of the logarithmic derivative of characteristic polynomials over $SO(2N+1)$. https://arxiv.org/abs/2303.07813

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