Moments of moments of the characteristic polynomials of random orthogonal and symplectic matrices

Using asymptotics of Toeplitz+Hankel determinants, we establish formulae for the asymptotics of the moments of the moments of the characteristic polynomials of random orthogonal and symplectic matrices, as the matrix-size tends to infinity. Our results are analogous to those that Fahs obtained for r...

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Bibliographic Details
Main Authors: Claeys, T, Forkel, J, Keating, JP
Format: Journal article
Language:English
Published: Royal Society 2023