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math-ph2022★ 5 cited
Weak and strong confinement in the Freud random matrix ensemble and gap probabilities
Tom Claeys, Igor Krasovsky, Oleksandr Minakov
The Freud ensemble of random matrices is the unitary invariant ensemble corresponding to the weight , , on the real line. We consider the local behaviour of ei…
math-ph2022
Moments of Moments of the Characteristic Polynomials of Random Orthogonal and Symplectic Matrices
Tom Claeys, Johannes Forkel, Jonathan P. Keating
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 an…