Composed ensembles of random unitary matrices

Details Composed ensembles of random unitary matrices Composed ensembles of random unitary matrices

1997-07-03

arxiv.org/abs/chao-dyn/9707006v2

J. Phys. A 31 1998 1059

Physics

Condensed Matter

revised version with corrected misprints which appeared in print in appendix B - 10 pages in Revtex + 5 figures in ps

Scientific paper

10.1088/0305-4470/31/3/016

Composed ensembles of random unitary matrices are defined via products of matrices, each pertaining to a given canonical circular ensemble of Dyson. We investigate statistical properties of spectra of some composed ensembles and demonstrate their physical relevance. We discuss also the methods of generating random matrices distributed according to invariant Haar measure on the orthogonal and unitary group.

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