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math-ph2025
Higher-Order Linear Differential Equations for Unitary Matrix Integrals: Applications and Generalisations
Peter J. Forrester, Fei Wei
In this paper, we consider characterisations of the class of unitary matrix integrals …
math-ph2025
Moments of characteristic polynomials for classical ensembles
Bo-Jian Shen, Peter J. Forrester
For random matrix ensembles with unitary symmetry, there is interest in the large form of the moments of the absolute value of the characteristic polynomial for their relevance…
math-ph2025★ 1 cited
Dualities in random matrix theory
Peter J. Forrester
Duality identities in random matrix theory for products and powers of characteristic polynomials, and for moments, are reviewed. The structure of a typical duality identity for the…