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math-ph2004
Averages of Characteristic Polynomials in Random Matrix Theory
A. Borodin, E. Strahov
We compute averages of products and ratios of characteristic polynomials associated with Orthogonal, Unitary, and Symplectic Ensembles of Random Matrix Theory. The pfaffian/determi…
math-ph2001
Moments of characteristic polynomials enumerate two-rowed lexicographic arrays
E Strahov
A combinatorial interpretation is provided for the moments of characteristic polynomials of random unitary matrices. This leads to a rather unexpected consequence of the Keating an…