6 citations · 13 across the 6 of their papers we have counts for
6 papers
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 direct and simple proof of Jacobi identities for determinants
Kuihua Yan
The Jacobi identities play an important role in constructing the explicit exact solutions of a broad class of integrable systems in soliton theory. In the paper, a direct and simpl…
The Weyl Integration Model for KAK decomposition of Reductive Lie Group
Zhi-guang Hu, Kui-hua Yan
The Weyl integration model presented by An and Wang can be effectively used to reduce the integration over -space. In this paper, we construct an especial Weyl integration model…
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…