6 citations · 12 across the 10 of their papers we have counts for
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Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomi…
A Criterion for the Covering Condition of Generalized Random Matrix Ensembles
Jinpeng An, Zhengdong Wang
In this paper we present a criterion for the covering condition of the generalized random matrix ensemble, which enable us to verify the covering condition for the seven classes of…
The Level Densities of Random Matrix Unitary Ensembles and their Perturbation Invariability
Zhengdong Wang, Kuihua Yan
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 ran…
A Generalization of Random Matrix Ensemble II: Concrete Examples and Integration Formulae
Jinpeng An, Zhengdong Wang, Kuihua Yan
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…
A Generalization of Random Matrix Ensemble I: General Theory
Jinpeng An, Zhengdong Wang, Kuihua Yan
We give a generalization of the random matrix ensembles, including all lassical ensembles. Then we derive the joint density function of the generalized ensemble by one simple formu…