A Generalization of Random Matrix Ensemble II: Concrete Examples and Integration Formulae

Details A Generalization of Random Matrix Ensemble II: Concrete Examples and Integration Formulae A Generalization of Random Matrix Ensemble II: Concrete Examples and Integration Formulae

2005-02-06

arxiv.org/abs/math-ph/0502021v1

Physics

Mathematical Physics

29 pages

Scientific paper

According to the classification scheme of the generalized random matrix ensembles, we present various kinds of concrete examples of the generalized ensemble, and derive their joint density functions in an unified way by one simple formula which was proved in [2]. Particular cases of these examples include Gaussian ensemble, chiral ensemble, new transfer matrix ensembles, circular ensemble, Jacobi ensembles, and so on. The associated integration formulae are also given, which are just many classical integration formulae or their variation forms.

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