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math-ph2025
Asymptotic analysis of a Family of Painlevé Functions with Applications to CUE Derivative Moments
Thomas Bothner, Fei Wei
The Riemann-Hilbert method is employed to carry out an asymptotic analysis of a family of -Painlevé V functions associated with Hankel determinants involving the confluent hyp…
math-ph2025
Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic Groups
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
We establish asymptotic formulae for general joint moments of characteristic polynomials and their higher-order derivatives associated with matrices drawn randomly from the groups…