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math-ph2007★ 16 cited
Haar expectations of ratios of random characteristic polynomials
A. Huckleberry, A. Puettmann, M. R. Zirnbauer
We compute Haar ensemble averages of ratios of random characteristic polynomials for the classical Lie groups K = O(N), SO(N), and USp(N). To that end, we start from the Clifford-W…
math-ph2007★ 67 cited
Superbosonization of invariant random matrix ensembles
P. Littelmann, H. -J. Sommers, M. R. Zirnbauer
Superbosonization is a new variant of the method of commuting and anti-commuting variables as used in studying random matrix models of disordered and chaotic quantum systems. We he…