151 citations · 400 across the 28 of their papers we have counts for
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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…
Level dynamics and the ten-fold way
Alan T. Huckleberry, Marek Kus, Patrick Schuetzdeller
We investigate the parameter dynamics of eigenvalues of Hamiltonians ('level dynamics') defined on symmetric spaces relevant for condensed matter and particle physics. In particula…
Fibrations and globalizations of compact homogeneous CR-manifolds
B. Gilligan, A. Huckleberry
Fibrations methods which were previously used for complex homogeneous spaces and CR-homogenous spaces of special types ([HO1], [AHR], [HR],[R]}) are developed in a general framewor…