A Classification of Non-Hermitian Random Matrices

Details A Classification of Non-Hermitian Random Matrices A Classification of Non-Hermitian Random Matrices

2001-10-31

arxiv.org/abs/cond-mat/0110649v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, contribution to the proceedings of the NATO Advanced Research Workshop on Statistical Field Theories, Como 18-23 June

Scientific paper

We present a classification of non-hermitian random matrices based on
implementing commuting discrete symmetries. It contains 43 classes. This
generalizes the classification of hermitian random matrices due to
Altland-Zirnbauer and it also extends the Ginibre ensembles of non-hermitian
matrices.

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