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Autocorrelation of ratios of L-functions
Brian Conrey, David W. Farmer, Martin R. Zirnbauer
We give a new heuristic for all of the main terms in the quotient of products of L-functions averaged over a family. These conjectures generalize the recent conjectures for mean va…
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…
Superbosonization formula and its application to random matrix theory
J. E. Bunder, K. B. Efetov, V. E. Kravtsov +2
Starting from Gaussian random matrix models we derive a new supermatrix field theory model. In contrast to the conventional non-linear sigma models, the new model is applicable for…
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…