2005/03/10 by Zhengdong Wang, Wang, Zhengdong, Kuihua Yan +1
Mathematics · Physics and Astronomy · #15A52 #33C45 #Advanced Algebra and Geometry #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Random Matrices and Applications #math-ph #math.MP #msc:15A52 #msc:33C45
paper · pdf · doi:10.48550/arxiv.math-ph/0503022
20 pages
arxiv created 2005/03/10 · openalex publication_date 2005/03/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using operator methods, we generally present the level densities for kinds of random matrix unitary ensembles in weak sense. As a corollary, the limit spectral distributions of random matrices from Gaussian, Laguerre and Jacobi unitary ensembles are recovered. At the same time, we study the perturbation invariability of the level densities of random matrix unitary ensembles. After the weight function associated with the 1-level correlation function is appended a polynomial multiplicative factor, the level density is invariant in the weak sense.