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

2023/03/14 by Emilia Alvarez, Alvarez, Emilia, Pierre Bousseyroux +3
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Random Matrices and Applications #Advanced Mathematical Theories and Applications

paper · pdf · doi:10.48550/arxiv.2303.07813

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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