3 papers
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…
math.PR2024
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Nick Simm, Fei Wei
We study the derivative of the characteristic polynomial of Haar distributed unitary matrices. We obtain the first explicit formulae for complex-valued moments when th…