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Asymptotics of non-integer moments of the logarithmic derivative of characteristic polynomials over $SO(2N+1)$ (2303.07813v1)
Published 14 Mar 2023 in math-ph, math.MP, and math.NT
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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