Lun Zhang

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.

Singular Values of Products of Ginibre Random Matrices, Multiple Orthogonal Polynomials and Hard Edge Scaling Limits

Lun Zhang, Arno B.J. Kuijlaars, A. Kuijlaars, 2013, 1308.1003.

Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles

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

Large n Limit for the Product of Two Coupled Random Matrices

Guilherme L. F. Silva, Lun Zhang, 2019, Communications in Mathematical Physics.

Universality and critical behaviour in the chiral two-matrix model

S. Delvaux, Lun Zhang, Dries Geudens, 2013, 1303.1130.

Non-intersecting squared Bessel paths with one positive starting and ending point

Steven Delvaux, Arno B. J. Kuijlaars, Lun Zhang, 2011 .

On certain Wronskians of multiple orthogonal polynomials.

Lun Zhang, G. Filipuk, 2014, 1402.1569.

Gaussian Unitary Ensembles with Pole Singularities Near the Soft Edge and a System of Coupled Painlevé XXXIV Equations

Shuai‐Xia Xu, D. Dai, Lun Zhang, 2018, Annales Henri Poincaré.

PDEs satisfied by extreme eigenvalues distributions of GUE and LUE

Yang Chen, Lun Zhang, E. Basor, 2011, 1102.0402.

Ladder operators and differential equations for multiple orthogonal polynomials

Lun Zhang, W. Assche, W. Van Assche, 2012, 1204.5058.

Transitions between critical kernels: from the tacnode kernel and critical kernel in the two-matrix model to the Pearcey kernel

Lun Zhang, Dries Geudens, 2012, 1208.0762.

On certain Wronskians of multiple orthogonal polynomials.

Lun Zhang, G. Filipuk, 2014, 1402.1569.

On integrals of the tronqu\'{e}e solutions and the associated Hamiltonians for the Painlev\'{e} II equation.

Shuai‐Xia Xu, D. Dai, Lun Zhang, 2019, 1908.01532.

Critical behavior of nonintersecting Brownian motions at a tacnode

A. Kuijlaars, S. Delvaux, Lun Zhang, 2010, 1009.2457.

Asymptotics of the Hard Edge Pearcey Determinant

Lun Zhang, Luming Yao, 2022, SIAM J. Math. Anal..

Singular Values of Products of Ginibre Random Matrices, Multiple Orthogonal Polynomials and Hard Edge Scaling Limits

A. Kuijlaars, Lun Zhang, 2014, Communications in Mathematical Physics.

Non-intersecting squared Bessel paths with one positive starting and ending point

A. Kuijlaars, S. Delvaux, Lun Zhang, 2012, Journal d'Analyse Mathématique.

A note on the limiting mean distribution of singular values for products of two Wishart random matrices

Lun Zhang, Lun Zhang, 2013, 1305.0726.

Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy

Lun Zhang, Lin Huang, Lun Zhang, 2021, SIAM J. Math. Anal..

Analysis of multivariate Gegenbauer approximation in the hypercube

Lun Zhang, Haiyong Wang, Haiyong Wang, 2018, Adv. Comput. Math..

Jacobi Polynomials on the Bernstein Ellipse

Lun Zhang, Haiyong Wang, Haiyong Wang, 2017, J. Sci. Comput..

Asymptotic expansions and fast computation of oscillatory Hilbert transforms

Daan Huybrechs, Lun Zhang, Haiyong Wang, 2011, Numerische Mathematik.

Dynamical renormalisation through classical equations of motion

Lun Zhang, J. Indekeu, A. Stella, 1984 .

On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation

Shuai‐Xia Xu, D. Dai, Lun Zhang, 2020 .

On tronquée solutions of the first Painlevé hierarchy

Lun Zhang, Dan Dai, D. Dai, 2010 .

The generalized Krawtchouk polynomials and the fifth Painlevé equation

Lun Zhang, W. Van Assche, L. Boelen, 2012, 1204.5070.

The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation

Lun Zhang, W. Van Assche, G. Filipuk, 2011, 1105.5229.

Location of Poles for the Hastings–McLeod Solution to the Second Painlevé Equation

Lun Zhang, Shuai-Xia Xu, Min Huang, 2014, 1410.3338.

Global asymptotics of orthogonal polynomials associated with |x|2alphae-Q(x)

Lun Zhang, Roderick Wong, R. Wong, 2010, J. Approx. Theory.

Global asymptotics for polynomials orthogonal with exponential quartic weight

Lun Zhang, Roderick Wong, R. Wong, 2009, Asymptot. Anal..

Multiple orthogonal polynomials associated with an exponential cubic weight

Walter Van Assche, Lun Zhang, Galina Filipuk, 2013, J. Approx. Theory.

Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential

Dan Dai, Lun Zhang, Shuai-Xia Xu, 2017, SIAM J. Math. Anal..

On Wright’s generalized Bessel kernel

Lun Zhang, Lun Zhang, 2016, 1608.02867.

Local Universality in Biorthogonal Laguerre Ensembles

Lun Zhang, 2015, 1502.03160.

Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices

Lun Zhang, Lun Zhang, 2016, J. Approx. Theory.

Gap Probability for the Hard Edge Pearcey Process

Shuai‐Xia Xu, D. Dai, Lun Zhang, 2022, Annales Henri Poincaré.

On the deformed Pearcey determinant

Shuai‐Xia Xu, D. Dai, Lun Zhang, 2020, Advances in Mathematics.

Painlevé VI and Hankel determinants for the generalized Jacobi weight

Lun Zhang, Dan Dai, D. Dai, 2009, 0908.0558.

On the gap probability of the tacnode process

Lun Zhang, Luming Yao, 2023, 2307.05622.

Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel

Shuai‐Xia Xu, D. Dai, Lun Zhang, 2020, Communications in Mathematical Physics.