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math-ph2026
Moments at the hard edge and Rayleigh functions
Anna Maltsev, Nick Simm
Motivated by the analogy between spectral moments of random matrices and associated zeta functions, we study inverse power trace moments of the Laguerre ensemble of dimension a…
math-ph2026
Higher order derivative moments of CUE characteristic polynomials and the Riemann zeta function
Alexander Grover, Francesco Mezzadri, Nick Simm
We use random matrix theory for the Circular Unitary Ensemble (CUE) to study moments of derivatives of the Riemann zeta function shifted a small distance from the critical line. Th…
math-ph2024
Schur function expansion in non-Hermitian ensembles and averages of characteristic polynomials
Alexander Serebryakov, Nick Simm
We study -point correlators of characteristic polynomials in non-Hermitian ensembles of random matrices, focusing on the real, complex and quaternion Ginibre ensemb…