Symmetry classes in random matrix theory

Physics – Mathematical Physics

Scientific paper

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Short review article (max. 4000 words) solicited by the editors of the Encylopedia of Mathematical Physics (Elsevier, 2005)

Scientific paper

Dyson's (1962) classification of matrix ensembles is reviewed from a modern
perspective, and its recent extension to disordered fermion problems is
motivated and described. It is explained in particular why symmetry classes are
associated with large families of symmetric spaces.

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