Dang-Zheng Liu

发表

Bulk and soft-edge universality for singular values of products of Ginibre random matrices

Dang-Zheng Liu, Dong Wang, Lun Zhang, 2014, 1412.6777.

Limit Distributions of Eigenvalues for Random Block Toeplitz and Hankel Matrices

Dang-Zheng Liu, Zheng-Dong Wang, Dang-Zheng Liu, 2010, 1010.3191.

Limit Distribution of Eigenvalues for Random Hankel and Toeplitz Band Matrices

Dang-Zheng Liu, Zheng-Dong Wang, 2009, 0904.2958.

Smallest eigenvalue distribution of the fixed-trace Laguerre beta-ensemble

Yang Chen, Dang-Zheng Liu, Da-Sheng Zhou, 2010, 1002.3975.

Spectral statistics for product matrix ensembles of Hermite type with external source

Dang-Zheng Liu, 2017, 1706.06189.

Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles

J. R. Ipsen, P. Forrester, Dang-Zheng Liu, 2017, Random Matrices: Theory and Applications.

Matrix Product Ensembles of Hermite Type and the Hyperbolic Harish-Chandra–Itzykson–Zuber Integral

J. R. Ipsen, P. Forrester, Dang-Zheng Liu, 2017, 1702.07100.

Finite rank perturbations in products of coupled random matrices: From one correlated to two Wishart ensembles

G. Akemann, Dang-Zheng Liu, E. Strahov, 2017, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.

Singular Value Statistics for the Spiked Elliptic Ginibre Ensemble

Dang-Zheng Liu, Yanhui Wang, 2018, 1807.02833.

On (H^{2|2}) Isomorphism theorems and reinforced loop soup

Dang-Zheng Liu, Yinshan Chang, Xiaolin Zeng, 2019, 1911.09036.

Singular Values for Products of Complex Ginibre Matrices with a Source: Hard Edge Limit and Phase Transition

P. Forrester, Dang-Zheng Liu, 2015, 1503.07955.

Raney Distributions and Random Matrix Theory

P. Forrester, Dang-Zheng Liu, 2014, 1404.5759.

Equilibrium problems for Raney densities

P. Forrester, P. Zinn-Justin, Dang-Zheng Liu, 2014, 1411.4091.

Scaling limits of correlations of characteristic polynomials for the Gaussian beta-ensemble with external source

P. Desrosiers, Dang-Zheng Liu, 2013, 1306.4058.

Matrix product ensembles of Hermite-type

J. R. Ipsen, P. Forrester, Dang-Zheng Liu, 2017 .

Phase transition of eigenvalues in deformed Ginibre ensembles

Dang-Zheng Liu, Lu Zhang, 2022, 2204.13171.

Matrix Product Ensembles of Hermite Type and the Hyperbolic Harish-Chandra–Itzykson–Zuber Integral

J. R. Ipsen, P. Forrester, Dang-Zheng Liu, 2018, Annales Henri Poincaré.

Singular Values for Products of Complex Ginibre Matrices with a Source: Hard Edge Limit and Phase Transition

P. Forrester, Dang-Zheng Liu, 2015, Communications in Mathematical Physics.

Singular Values for Products of Two Coupled Random Matrices: Hard Edge Phase Transition

Dang-Zheng Liu, 2017, Constructive Approximation.

Raney Distributions and Random Matrix Theory

P. Forrester, Dang-Zheng Liu, 2014, Journal of Statistical Physics.

Phase Transitions for Products of Characteristic Polynomials under Dyson Brownian Motion

P. Forrester, Dang-Zheng Liu, 2020, Acta Mathematica Sinica, English Series.

Fluctuations of eigenvalues for random Toeplitz and related matrices

Dang-Zheng Liu, Zheng-Dong Wang, Xin Sun, 2010, 1010.3394.

Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices

Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan, 2008, J. Approx. Theory.

Local Statistical Properties of Schmidt Eigenvalues of Bipartite Entanglement for a Random Pure State

Dang-Zheng Liu, Da-Sheng Zhou, 2009, 0912.3999.

Phase Transitions for Products of Characteristic Polynomials under Dyson Brownian Motion

P. Forrester, Dang-Zheng Liu, 2020, 2012.13786.

Singular Values for Products of Two Coupled Random Matrices: Hard Edge Phase Transition

Dang-Zheng Liu, 2016, 1602.00634.

Limits for circular Jacobi beta-ensembles

Dang-Zheng Liu, Dang-Zheng Liu, 2014, J. Approx. Theory.

Lyapunov Exponent, Universality and Phase Transition for Products of Random Matrices

Dang-Zheng Liu, Dong Wang, Yanhui Wang, 2018, Communications in Mathematical Physics.

A note on spiked Wishart matrices

Dang-Zheng Liu, Yanhui Wang, 2017 .

The distribution of the smallest eigenvalue for fixed trace Laguerre beta-ensemble

Yang Chen, Dang-Zheng Liu, Da-Sheng Zhou, 2010 .

Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density

Tao Qian, Dang-Zheng Liu, Da-Sheng Zhou, 2009, 0905.4255.

Some Universal Properties for Restricted Trace Gaussian Orthogonal, Unitary and Symplectic Ensembles

Dang-Zheng Liu, Da-Sheng Zhou, 2009, 0905.4932.

Phase transitions for infinite products of large non-Hermitian random matrices

Dang-Zheng Liu, Yanhui Wang, 2019, 1912.11910.

Universality for products of random matrices I: Ginibre and truncated unitary cases

Dang-Zheng Liu, Yanhui Wang, 2014, 1411.2787.

Universality at Zero and the Spectrum Edge for Fixed Trace Gaussian $\beta$-Ensembles of Random Matrices

Dang-Zheng Liu, Da-Sheng Zhou, 2009 .

Asymptotics for Products of Characteristic Polynomials in Classical β-Ensembles

P. Desrosiers, Dang-Zheng Liu, Dang-Zheng Liu, 2013, Constructive Approximation.

Asymptotics for Products of Characteristic Polynomials in Classical β-Ensembles

P. Desrosiers, Dang-Zheng Liu, 2011, 1112.1119.

On Explicit Probability Densities Associated with Fuss-Catalan Numbers

Dang-Zheng Liu, Chunwei Song, Zheng-dong Wang, 2010, 1008.0271.

Limit Distributions for Random Hankel, Toeplitz Matrices and Independent Products

Dang-Zheng Liu, Zheng-dong Wang, 2009 .