Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits. Zbl 1303.15046
Kuijlaars, Arno B. J.; Zhang, Lun |
|
2014
|
The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012
Filipuk, Galina; Van Assche, Walter; Zhang, Lun |
|
2012
|
Painlevé VI and Hankel determinants for the generalized Jacobi weight. Zbl 1196.33018
Dai, D.; Zhang, Lun |
|
2010
|
Painlevé VI and the unitary Jacobi ensembles. Zbl 1202.34154
Chen, Y.; Zhang, L. |
|
2010
|
Critical behavior of nonintersecting Brownian motions at a tacnode. Zbl 1231.60085
Delvaux, Steven; Kuijlaars, Arno B. J.; Zhang, Lun |
|
2011
|
Bulk and soft-edge universality for singular values of products of Ginibre random matrices. Zbl 1384.60027
Liu, Dang-Zheng; Wang, Dong; Zhang, Lun |
|
2016
|
Asymptotic expansions and fast computation of oscillatory Hilbert transforms. Zbl 1263.65131
Wang, Haiyong; Zhang, Lun; Huybrechs, Daan |
|
2013
|
PDEs satisfied by extreme eigenvalues distributions of GUE and LUE. Zbl 1288.60003
Basor, Estelle; Chen, Yang; Zhang, Lun |
|
2012
|
Asymptotics of Fredholm determinant associated with the Pearcey kernel. Zbl 1469.60027
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2021
|
Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037
Van Assche, Walter; Filipuk, Galina; Zhang, Lun |
|
2015
|
Transitions between critical kernels: from the tacnode kernel and critical kernel in the two-matrix model to the Pearcey kernel. Zbl 1341.60127
Geudens, Dries; Zhang, Lun |
|
2015
|
Local universality in biorthogonal Laguerre ensembles. Zbl 1332.82056
Zhang, Lun |
|
2015
|
On the deformed Pearcey determinant. Zbl 1506.60011
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2022
|
Non-intersecting squared Bessel paths with one positive starting and ending point. Zbl 1328.60184
Delvaux, Steven; Kuijlaars, Arno B. J.; Román, Pablo; Zhang, Lun |
|
2012
|
Location of poles for the Hastings-McLeod solution to the second Painlevé equation. Zbl 1342.30026
Huang, Min; Xu, Shuai-Xia; Zhang, Lun |
|
2016
|
Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles. Zbl 1444.60012
Forrester, Peter J.; Ipsen, Jesper R.; Liu, Dang-Zheng; Zhang, Lun |
|
2019
|
A note on the limiting mean distribution of singular values for products of two Wishart random matrices. Zbl 1305.15080
Zhang, Lun |
|
2013
|
On Wright’s generalized Bessel kernel. Zbl 1376.33008
Zhang, Lun |
|
2017
|
The asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions. Zbl 1259.33020
Zhang, Lun; Román, Pablo |
|
2011
|
Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential. Zbl 1401.60009
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2018
|
Ladder operators and differential equations for multiple orthogonal polynomials. Zbl 1271.33004
Filipuk, Galina; Van Assche, Walter; Zhang, Lun |
|
2013
|
Global asymptotics of orthogonal polynomials associated with \(|x|^{2\alpha} e^{-Q(x)}\). Zbl 1198.33004
Wong, R.; Zhang, Lun |
|
2010
|
On tronquée solutions of the first Painlevé hierarchy. Zbl 1200.34111
Dai, Dan; Zhang, Lun |
|
2010
|
Jacobi polynomials on the Bernstein ellipse. Zbl 1398.65322
Wang, Haiyong; Zhang, Lun |
|
2018
|
Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations. Zbl 1467.37057
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2019
|
Universality and critical behaviour in the chiral two-matrix model. Zbl 1280.81153
Delvaux, Steven; Geudens, Dries; Zhang, Lun |
|
2013
|
Gap probability for the hard edge Pearcey process. Zbl 1516.60030
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2023
|
Global asymptotics of Hermite polynomials via Riemann-Hilbert approach. Zbl 1124.33013
Wong, R.; Zhang, Lun |
|
2007
|
The generalized Krawtchouk polynomials and the fifth Painlevé equation. Zbl 1279.33013
Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun |
|
2013
|
On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation. Zbl 1450.34066
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2020
|
On certain Wronskians of multiple orthogonal polynomials. Zbl 1314.42029
Zhang, Lun; Filipuk, Galina |
|
2014
|
Higher order Airy and Painlevé asymptotics for the mKdV hierarchy. Zbl 1506.37088
Huang, Lin; Zhang, Lun |
|
2022
|
Global asymptotics for polynomials orthogonal with exponential quartic weight. Zbl 1183.33018
Wong, R.; Zhang, Lun |
|
2009
|
Large \(n\) limit for the product of two coupled random matrices. Zbl 1508.81829
Silva, Guilherme L. F.; Zhang, Lun |
|
2020
|
A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles. Zbl 1514.60012
Wang, Dong; Zhang, Lun |
|
2022
|
Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices. Zbl 1377.33009
Zhang, Lun |
|
2017
|
Asymptotics of the deformed higher order Airy-kernel determinants and applications. Zbl 1531.34081
Xia, Jun; Hao, Yi-Fan; Xu, Shuai-Xia; Zhang, Lun; Zhao, Yu-Qiu |
|
2023
|
Analysis of multivariate Gegenbauer approximation in the hypercube. Zbl 1441.41002
Wang, Haiyong; Zhang, Lun |
|
2020
|
Asymptotics of the hard edge Pearcey determinant. Zbl 07785714
Yao, Luming; Zhang, Lun |
|
2024
|
Asymptotics of the hard edge Pearcey determinant. Zbl 07785714
Yao, Luming; Zhang, Lun |
|
2024
|
Gap probability for the hard edge Pearcey process. Zbl 1516.60030
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2023
|
Asymptotics of the deformed higher order Airy-kernel determinants and applications. Zbl 1531.34081
Xia, Jun; Hao, Yi-Fan; Xu, Shuai-Xia; Zhang, Lun; Zhao, Yu-Qiu |
|
2023
|
On the deformed Pearcey determinant. Zbl 1506.60011
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2022
|
Higher order Airy and Painlevé asymptotics for the mKdV hierarchy. Zbl 1506.37088
Huang, Lin; Zhang, Lun |
|
2022
|
A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles. Zbl 1514.60012
Wang, Dong; Zhang, Lun |
|
2022
|
Asymptotics of Fredholm determinant associated with the Pearcey kernel. Zbl 1469.60027
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2021
|
On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation. Zbl 1450.34066
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2020
|
Large \(n\) limit for the product of two coupled random matrices. Zbl 1508.81829
Silva, Guilherme L. F.; Zhang, Lun |
|
2020
|
Analysis of multivariate Gegenbauer approximation in the hypercube. Zbl 1441.41002
Wang, Haiyong; Zhang, Lun |
|
2020
|
Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles. Zbl 1444.60012
Forrester, Peter J.; Ipsen, Jesper R.; Liu, Dang-Zheng; Zhang, Lun |
|
2019
|
Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations. Zbl 1467.37057
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2019
|
Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential. Zbl 1401.60009
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun |
|
2018
|
Jacobi polynomials on the Bernstein ellipse. Zbl 1398.65322
Wang, Haiyong; Zhang, Lun |
|
2018
|
On Wright’s generalized Bessel kernel. Zbl 1376.33008
Zhang, Lun |
|
2017
|
Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices. Zbl 1377.33009
Zhang, Lun |
|
2017
|
Bulk and soft-edge universality for singular values of products of Ginibre random matrices. Zbl 1384.60027
Liu, Dang-Zheng; Wang, Dong; Zhang, Lun |
|
2016
|
Location of poles for the Hastings-McLeod solution to the second Painlevé equation. Zbl 1342.30026
Huang, Min; Xu, Shuai-Xia; Zhang, Lun |
|
2016
|
Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037
Van Assche, Walter; Filipuk, Galina; Zhang, Lun |
|
2015
|
Transitions between critical kernels: from the tacnode kernel and critical kernel in the two-matrix model to the Pearcey kernel. Zbl 1341.60127
Geudens, Dries; Zhang, Lun |
|
2015
|
Local universality in biorthogonal Laguerre ensembles. Zbl 1332.82056
Zhang, Lun |
|
2015
|
Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits. Zbl 1303.15046
Kuijlaars, Arno B. J.; Zhang, Lun |
|
2014
|
On certain Wronskians of multiple orthogonal polynomials. Zbl 1314.42029
Zhang, Lun; Filipuk, Galina |
|
2014
|
Asymptotic expansions and fast computation of oscillatory Hilbert transforms. Zbl 1263.65131
Wang, Haiyong; Zhang, Lun; Huybrechs, Daan |
|
2013
|
A note on the limiting mean distribution of singular values for products of two Wishart random matrices. Zbl 1305.15080
Zhang, Lun |
|
2013
|
Ladder operators and differential equations for multiple orthogonal polynomials. Zbl 1271.33004
Filipuk, Galina; Van Assche, Walter; Zhang, Lun |
|
2013
|
Universality and critical behaviour in the chiral two-matrix model. Zbl 1280.81153
Delvaux, Steven; Geudens, Dries; Zhang, Lun |
|
2013
|
The generalized Krawtchouk polynomials and the fifth Painlevé equation. Zbl 1279.33013
Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun |
|
2013
|
The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012
Filipuk, Galina; Van Assche, Walter; Zhang, Lun |
|
2012
|
PDEs satisfied by extreme eigenvalues distributions of GUE and LUE. Zbl 1288.60003
Basor, Estelle; Chen, Yang; Zhang, Lun |
|
2012
|
Non-intersecting squared Bessel paths with one positive starting and ending point. Zbl 1328.60184
Delvaux, Steven; Kuijlaars, Arno B. J.; Román, Pablo; Zhang, Lun |
|
2012
|
Critical behavior of nonintersecting Brownian motions at a tacnode. Zbl 1231.60085
Delvaux, Steven; Kuijlaars, Arno B. J.; Zhang, Lun |
|
2011
|
The asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions. Zbl 1259.33020
Zhang, Lun; Román, Pablo |
|
2011
|
Painlevé VI and Hankel determinants for the generalized Jacobi weight. Zbl 1196.33018
Dai, D.; Zhang, Lun |
|
2010
|
Painlevé VI and the unitary Jacobi ensembles. Zbl 1202.34154
Chen, Y.; Zhang, L. |
|
2010
|
Global asymptotics of orthogonal polynomials associated with \(|x|^{2\alpha} e^{-Q(x)}\). Zbl 1198.33004
Wong, R.; Zhang, Lun |
|
2010
|
On tronquée solutions of the first Painlevé hierarchy. Zbl 1200.34111
Dai, Dan; Zhang, Lun |
|
2010
|
Global asymptotics for polynomials orthogonal with exponential quartic weight. Zbl 1183.33018
Wong, R.; Zhang, Lun |
|
2009
|
Global asymptotics of Hermite polynomials via Riemann-Hilbert approach. Zbl 1124.33013
Wong, R.; Zhang, Lun |
|
2007
|