Composed ensembles of random unitary matrices
chao-dyn
2009-10-30 v2 Condensed Matter
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.chao-dyn/9707006,
title = {Composed ensembles of random unitary matrices},
author = {Marcin Pozniak and Karol Zyczkowski and Marek Kus},
journal= {arXiv preprint arXiv:chao-dyn/9707006},
year = {2009}
}
Comments
revised version with corrected misprints which appeared in print in appendix B - 10 pages in Revtex + 5 figures in ps