8 citations · 21 across the 13 of their papers we have counts for
13 papers
A note on eigenvalues of random block Toeplitz matrices with slowly growing bandwidth
Yi-Ting Li, Dang-Zheng Liu, Xin Sun +1
This paper can be thought of as a remark of \cite{llw}, where the authors studied the eigenvalue distribution of random block Toeplitz band matrices with given block orde…
On Explicit Probability Densities Associated with Fuss-Catalan Numbers
Dang-Zheng Liu, Chunwei Song, Zheng-Dong Wang
In this note we give explicitly a family of probability densities, the moments of which are Fuss-Catalan numbers. The densities appear naturally in random matrices, free probabilit…
Nonabelian cohomology of compact Lie groups
Jinpeng An, Ming Liu, Zhengdong Wang
Given a Lie group with finitely many components and a compact Lie group A which acts on by automorphisms, we prove that there always exists an A-invariant maximal compact s…
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…
Holomorphic harmonic analysis on complex reductive groups
Jinpeng An, Zhengdong Wang, Min Qian
We define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applicatio…
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…