2005/02/06 by Jinpeng An, Zhengdong Wang, An, Jinpeng +3 · 1 citation
Mathematics · Physics and Astronomy · #15A52 #57S25 #58C35 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #math-ph #math.MP #msc:15A52 #msc:57S25 #msc:58C35
paper · pdf · doi:10.48550/arxiv.math-ph/0502021
29 pages
arxiv created 2005/02/06 · openalex publication_date 2005/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.