×
Author ID: zhang.lun Recent zbMATH articles by "Zhang, Lun"
Published as: Zhang, Lun; Zhang, L.
Further Spellings: 张仑
External Links: Google Scholar

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 477 times in 312 Documents Cited by Year
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
65
2014
The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012
Filipuk, Galina; Van Assche, Walter; Zhang, Lun
41
2012
Painlevé VI and Hankel determinants for the generalized Jacobi weight. Zbl 1196.33018
Dai, D.; Zhang, Lun
32
2010
Painlevé VI and the unitary Jacobi ensembles. Zbl 1202.34154
Chen, Y.; Zhang, L.
32
2010
Critical behavior of nonintersecting Brownian motions at a tacnode. Zbl 1231.60085
Delvaux, Steven; Kuijlaars, Arno B. J.; Zhang, Lun
30
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
27
2016
Asymptotic expansions and fast computation of oscillatory Hilbert transforms. Zbl 1263.65131
Wang, Haiyong; Zhang, Lun; Huybrechs, Daan
25
2013
PDEs satisfied by extreme eigenvalues distributions of GUE and LUE. Zbl 1288.60003
Basor, Estelle; Chen, Yang; Zhang, Lun
18
2012
Asymptotics of Fredholm determinant associated with the Pearcey kernel. Zbl 1469.60027
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun
15
2021
Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037
Van Assche, Walter; Filipuk, Galina; Zhang, Lun
14
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
14
2015
Local universality in biorthogonal Laguerre ensembles. Zbl 1332.82056
Zhang, Lun
14
2015
On the deformed Pearcey determinant. Zbl 1506.60011
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun
12
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
10
2012
Location of poles for the Hastings-McLeod solution to the second Painlevé equation. Zbl 1342.30026
Huang, Min; Xu, Shuai-Xia; Zhang, Lun
10
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
10
2019
A note on the limiting mean distribution of singular values for products of two Wishart random matrices. Zbl 1305.15080
Zhang, Lun
9
2013
On Wright’s generalized Bessel kernel. Zbl 1376.33008
Zhang, Lun
9
2017
The asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions. Zbl 1259.33020
Zhang, Lun; Román, Pablo
8
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
8
2018
Ladder operators and differential equations for multiple orthogonal polynomials. Zbl 1271.33004
Filipuk, Galina; Van Assche, Walter; Zhang, Lun
7
2013
Global asymptotics of orthogonal polynomials associated with \(|x|^{2\alpha} e^{-Q(x)}\). Zbl 1198.33004
Wong, R.; Zhang, Lun
7
2010
On tronquée solutions of the first Painlevé hierarchy. Zbl 1200.34111
Dai, Dan; Zhang, Lun
7
2010
Jacobi polynomials on the Bernstein ellipse. Zbl 1398.65322
Wang, Haiyong; Zhang, Lun
6
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
6
2019
Universality and critical behaviour in the chiral two-matrix model. Zbl 1280.81153
Delvaux, Steven; Geudens, Dries; Zhang, Lun
5
2013
Gap probability for the hard edge Pearcey process. Zbl 1516.60030
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun
5
2023
Global asymptotics of Hermite polynomials via Riemann-Hilbert approach. Zbl 1124.33013
Wong, R.; Zhang, Lun
5
2007
The generalized Krawtchouk polynomials and the fifth Painlevé equation. Zbl 1279.33013
Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun
5
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
4
2020
On certain Wronskians of multiple orthogonal polynomials. Zbl 1314.42029
Zhang, Lun; Filipuk, Galina
3
2014
Higher order Airy and Painlevé asymptotics for the mKdV hierarchy. Zbl 1506.37088
Huang, Lin; Zhang, Lun
3
2022
Global asymptotics for polynomials orthogonal with exponential quartic weight. Zbl 1183.33018
Wong, R.; Zhang, Lun
3
2009
Large \(n\) limit for the product of two coupled random matrices. Zbl 1508.81829
Silva, Guilherme L. F.; Zhang, Lun
3
2020
A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles. Zbl 1514.60012
Wang, Dong; Zhang, Lun
2
2022
Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices. Zbl 1377.33009
Zhang, Lun
1
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
1
2023
Analysis of multivariate Gegenbauer approximation in the hypercube. Zbl 1441.41002
Wang, Haiyong; Zhang, Lun
1
2020
Asymptotics of the hard edge Pearcey determinant. Zbl 07785714
Yao, Luming; Zhang, Lun
1
2024
Asymptotics of the hard edge Pearcey determinant. Zbl 07785714
Yao, Luming; Zhang, Lun
1
2024
Gap probability for the hard edge Pearcey process. Zbl 1516.60030
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun
5
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
1
2023
On the deformed Pearcey determinant. Zbl 1506.60011
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun
12
2022
Higher order Airy and Painlevé asymptotics for the mKdV hierarchy. Zbl 1506.37088
Huang, Lin; Zhang, Lun
3
2022
A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles. Zbl 1514.60012
Wang, Dong; Zhang, Lun
2
2022
Asymptotics of Fredholm determinant associated with the Pearcey kernel. Zbl 1469.60027
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun
15
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
4
2020
Large \(n\) limit for the product of two coupled random matrices. Zbl 1508.81829
Silva, Guilherme L. F.; Zhang, Lun
3
2020
Analysis of multivariate Gegenbauer approximation in the hypercube. Zbl 1441.41002
Wang, Haiyong; Zhang, Lun
1
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
10
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
6
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
8
2018
Jacobi polynomials on the Bernstein ellipse. Zbl 1398.65322
Wang, Haiyong; Zhang, Lun
6
2018
On Wright’s generalized Bessel kernel. Zbl 1376.33008
Zhang, Lun
9
2017
Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices. Zbl 1377.33009
Zhang, Lun
1
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
27
2016
Location of poles for the Hastings-McLeod solution to the second Painlevé equation. Zbl 1342.30026
Huang, Min; Xu, Shuai-Xia; Zhang, Lun
10
2016
Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037
Van Assche, Walter; Filipuk, Galina; Zhang, Lun
14
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
14
2015
Local universality in biorthogonal Laguerre ensembles. Zbl 1332.82056
Zhang, Lun
14
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
65
2014
On certain Wronskians of multiple orthogonal polynomials. Zbl 1314.42029
Zhang, Lun; Filipuk, Galina
3
2014
Asymptotic expansions and fast computation of oscillatory Hilbert transforms. Zbl 1263.65131
Wang, Haiyong; Zhang, Lun; Huybrechs, Daan
25
2013
A note on the limiting mean distribution of singular values for products of two Wishart random matrices. Zbl 1305.15080
Zhang, Lun
9
2013
Ladder operators and differential equations for multiple orthogonal polynomials. Zbl 1271.33004
Filipuk, Galina; Van Assche, Walter; Zhang, Lun
7
2013
Universality and critical behaviour in the chiral two-matrix model. Zbl 1280.81153
Delvaux, Steven; Geudens, Dries; Zhang, Lun
5
2013
The generalized Krawtchouk polynomials and the fifth Painlevé equation. Zbl 1279.33013
Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun
5
2013
The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012
Filipuk, Galina; Van Assche, Walter; Zhang, Lun
41
2012
PDEs satisfied by extreme eigenvalues distributions of GUE and LUE. Zbl 1288.60003
Basor, Estelle; Chen, Yang; Zhang, Lun
18
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
10
2012
Critical behavior of nonintersecting Brownian motions at a tacnode. Zbl 1231.60085
Delvaux, Steven; Kuijlaars, Arno B. J.; Zhang, Lun
30
2011
The asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions. Zbl 1259.33020
Zhang, Lun; Román, Pablo
8
2011
Painlevé VI and Hankel determinants for the generalized Jacobi weight. Zbl 1196.33018
Dai, D.; Zhang, Lun
32
2010
Painlevé VI and the unitary Jacobi ensembles. Zbl 1202.34154
Chen, Y.; Zhang, L.
32
2010
Global asymptotics of orthogonal polynomials associated with \(|x|^{2\alpha} e^{-Q(x)}\). Zbl 1198.33004
Wong, R.; Zhang, Lun
7
2010
On tronquée solutions of the first Painlevé hierarchy. Zbl 1200.34111
Dai, Dan; Zhang, Lun
7
2010
Global asymptotics for polynomials orthogonal with exponential quartic weight. Zbl 1183.33018
Wong, R.; Zhang, Lun
3
2009
Global asymptotics of Hermite polynomials via Riemann-Hilbert approach. Zbl 1124.33013
Wong, R.; Zhang, Lun
5
2007
all top 5

Cited by 308 Authors

44 Chen, Yang
20 Zhang, Lun
19 Xu, Shuaixia
16 Forrester, Peter J.
14 Kuijlaars, Arno B. J.
13 Min, Chao
12 Filipuk, Galina V.
11 Charlier, Christophe
11 Zhu, Mengkun
10 Kieburg, Mario
9 Dai, Dan
9 Lyu, Shulin
9 Van Assche, Walter
9 Zhao, Yuqiu
7 Wang, Dong
7 Xu, Zhenhua
6 Clarkson, Peter A.
6 Fan, Engui
6 Lenells, Jonatan
6 Liu, Dangzheng
6 Strahov, Eugene
5 Akemann, Gernot
5 Delvaux, Steven
5 Duits, Maurice
5 Ipsen, Jesper R.
5 Jordaan, Kerstin
5 Kang, Hongchao
5 Liechty, Karl
5 Neuschel, Thorsten
5 Wang, Dan
4 Adler, Mark
4 Basor, Estelle L.
4 Chen, Min
4 Claeys, Tom
4 Hardy, Adrien
4 Martínez-Finkelshtein, Andrei
4 van Moerbeke, Pierre
4 Wong, Roderick Sue-Chuen
4 Xiang, Shuhuang
4 Yao, Luming
3 Ben Romdhane, Neila
3 Deaño, Alfredo
3 Doliwa, Adam
3 Fang, Chunhua
3 Han, Pengju
3 He, Guo
3 Joshi, Nalini
3 Katori, Makoto
3 Kimura, Taro
3 Li, Chuanzhong
3 Li, Shihao
3 Liu, Guidong
3 Marcellán Español, Francisco
3 Milovanović, Gradimir V.
3 Molag, Leslie D.
3 Pejčev, Aleksandar V.
3 Silva, Guilherme L. F.
3 Starovoĭtov, Aleksandr Pavlovich
3 Wang, Hong
3 Xia, Jun
3 Zahabi, Ali
3 Zhang, Jiyuan
2 Bertola, Marco
2 Blower, Gordon
2 Bothner, Thomas
2 Buckingham, Robert J.
2 Chang, Xiangke
2 Cheng, Yuan
2 Coston, Natalie
2 Durán, Antonio José
2 Fasondini, Marco
2 Fornberg, Bengt
2 Griffin, James C.
2 Haq, Nazmus S.
2 Hasegawa, Takemitsu
2 Huertas Cejudo, Edmundo José
2 Jandrlić, D. R.
2 Johansson, Kurt
2 Kelil, Abey Sherif
2 Kimura, Hironobu
2 Kösters, Holger
2 Lima, Hélder S.
2 Lustri, Christopher J.
2 Luu, S.
2 Mañas-Mañas, Juan F.
2 Mauersberger, Julian
2 McSwiggen, Colin
2 Moreno-Balcázar, Juan José
2 O’Rourke, Sean D.
2 Qiu, Weiyuan
2 Rebocho, M. N.
2 Smet, Christophe
2 Spalević, Miodrag M.
2 Stivigny, Dries
2 Sugiura, Hiroshi
2 Tian, Yan
2 Tierz, Miguel
2 Trogdon, Thomas
2 Venker, Martin
2 Wang, Zhaoyu
...and 208 more Authors
all top 5

Cited in 95 Serials

23 Random Matrices: Theory and Applications
20 Communications in Mathematical Physics
18 Studies in Applied Mathematics
17 Journal of Approximation Theory
15 Journal of Mathematical Physics
12 Journal of Computational and Applied Mathematics
10 Constructive Approximation
9 Journal of Physics A: Mathematical and Theoretical
8 Advances in Mathematics
8 Proceedings of the American Mathematical Society
7 Physica D
6 Journal of Statistical Physics
6 Nonlinearity
6 Nuclear Physics. B
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Journal of Mathematical Analysis and Applications
5 Letters in Mathematical Physics
5 Mathematical Methods in the Applied Sciences
5 Applied Mathematics and Computation
5 Integral Transforms and Special Functions
4 SIAM Journal on Mathematical Analysis
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Annales Henri Poincaré
3 The Annals of Probability
3 Journal of Functional Analysis
3 Journal of Theoretical Probability
3 Analysis and Applications (Singapore)
2 Duke Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Probability Theory and Related Fields
2 Journal of Scientific Computing
2 The Annals of Applied Probability
2 Numerical Algorithms
2 Linear Algebra and its Applications
2 Computational and Applied Mathematics
2 ETNA. Electronic Transactions on Numerical Analysis
2 Advances in Computational Mathematics
2 Journal of Difference Equations and Applications
2 Electronic Journal of Probability
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Advances in Pure and Applied Mathematics
2 Analysis and Mathematical Physics
2 Probability and Mathematical Physics
1 International Journal of Modern Physics B
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Theoretical and Mathematical Physics
1 American Journal of Mathematics
1 BIT
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Journal of Multivariate Analysis
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Advances in Mathematics (Beijing)
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Geometric and Functional Analysis. GAFA
1 Applied Mathematical Modelling
1 L’Enseignement Mathématique. 2e Série
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Russian Mathematics
1 Georgian Mathematical Journal
1 Selecta Mathematica. New Series
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 The Ramanujan Journal
1 Mathematical Physics, Analysis and Geometry
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Statistical Mechanics: Theory and Experiment
1 Science China. Mathematics
1 Journal of Spectral Theory
1 Afrika Matematika
1 Problemy Fiziki, Matematiki i Tekhniki
1 ISRN Applied Mathematics
1 Dolomites Research Notes on Approximation
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Transactions of the American Mathematical Society. Series B
1 Korean Journal of Mathematics
1 Tunisian Journal of Mathematics
all top 5

Cited in 40 Fields

142 Special functions (33-XX)
130 Probability theory and stochastic processes (60-XX)
113 Linear and multilinear algebra; matrix theory (15-XX)
82 Ordinary differential equations (34-XX)
67 Harmonic analysis on Euclidean spaces (42-XX)
56 Approximations and expansions (41-XX)
41 Numerical analysis (65-XX)
32 Functions of a complex variable (30-XX)
26 Dynamical systems and ergodic theory (37-XX)
24 Partial differential equations (35-XX)
18 Statistical mechanics, structure of matter (82-XX)
11 Difference and functional equations (39-XX)
11 Quantum theory (81-XX)
10 Integral transforms, operational calculus (44-XX)
10 Operator theory (47-XX)
8 Combinatorics (05-XX)
8 Statistics (62-XX)
6 Potential theory (31-XX)
4 Number theory (11-XX)
3 Real functions (26-XX)
3 Abstract harmonic analysis (43-XX)
3 Functional analysis (46-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Fluid mechanics (76-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year