On the moments of characteristic polynomials

We calculate the moments of the characteristic polynomials of N × N matrices drawn from the Hermitian ensembles of Random Matrix Theory, at a position t in the bulk of the spectrum, as a series expansion in powers of t. We focus in particular on the Gaussian Unitary Ensemble. We employ a novel appro...

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Main Authors: Jonnadula, B, Keating, J, Mezzadri, F
格式: Journal article
语言:English
出版: Cambridge University Press 2022