Lun Zhang

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All published works

Action	Title	Year	Authors
+ PDF Chat	The multiplicative constant in asymptotics of higher-order analogues of the Tracy-Widom distribution	2025	Dan Dai Wen‐Gao Long Shuai‐Xia Xu Luming Yao Lun Zhang
+ PDF Chat	Large gap asymptotics of the hard edge tacnode process	2024	Junwen Liu Luming Yao Lun Zhang
+ PDF Chat	Scalable Multi-Objective Optimization for Robust Traffic Signal Control in Uncertain Environments	2024	Weian Guo Wuzhao Li Zhiou Zhang Lun Zhang Li Li Dongyang Li
+ PDF Chat	Transient asymptotics of the modified Camassa–Holm equation	2024	Taiyang Xu Yiling Yang Lun Zhang
+ PDF Chat	On the gap probability of the tacnode process	2024	Luming Yao Lun Zhang
+ PDF Chat	Asymptotics of the Hard Edge Pearcey Determinant	2024	Luming Yao Lun Zhang
+	On the gap probability of the tacnode process	2023	Luming Yao Lun Zhang
+	Asymptotic expansion of the hard-to-soft edge transition	2023	Luming Yao Lun Zhang
+	Convergence analysis of Hermite approximations for analytic functions	2023	Haiyong Wang Lun Zhang
+ PDF Chat	Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	2022	Bree Cummins Marcio Gameiro Tomáš Gedeon Shane Kepley Konstantin Mischaikow Lun Zhang
+ PDF Chat	On the deformed Pearcey determinant	2022	Dan Dai Shuai‐Xia Xu Lun Zhang
+	Gap probability for the hard edge Pearcey process	2022	Dan Dai Shuai‐Xia Xu Lun Zhang
+ PDF Chat	A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles	2021	Dong Wang Lun Zhang
+ PDF Chat	Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel	2021	Dan Dai Shuai‐Xia Xu Lun Zhang
+ PDF Chat	Computing Linear Extensions for Polynomial Posets Subject to Algebraic Constraints	2021	Shane Kepley Konstantin Mischaikow Lun Zhang
+	Extending combinatorial regulatory network modeling to include activity control and decay modulation	2021	Bree Cummins Marcio Gameiro Tomáš Gedeon Shane Kepley Konstantin Mischaikow Lun Zhang
+	A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles	2021	Dong Wang Lun Zhang
+	Computing linear extensions for Boolean lattices with algebraic constraints	2020	Shane Kepley Konstantin Mischaikow Lun Zhang
+ PDF Chat	Large n Limit for the Product of Two Coupled Random Matrices	2020	Guilherme L. F. Silva Lun Zhang
+	On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation	2020	Dan Dai Shuai‐Xia Xu Lun Zhang
+	Computing linear extensions for polynomial posets subject to algebraic constraints	2020	Shane Kepley Konstantin Mischaikow Lun Zhang
+ PDF Chat	Gaussian Unitary Ensembles with Pole Singularities Near the Soft Edge and a System of Coupled Painlevé XXXIV Equations	2019	Dan Dai Shuai‐Xia Xu Lun Zhang
+	On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation	2019	Dan Dai Shuai‐Xia Xu Lun Zhang
+ PDF Chat	Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles	2018	Peter J. Forrester J. R. Ipsen Dang-Zheng Liu Lun Zhang
+ PDF Chat	Gap Probability at the Hard Edge for Random Matrix Ensembles with Pole Singularities in the Potential	2018	Dan Dai Shuai‐Xia Xu Lun Zhang
+	Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential	2017	Dan Dai Shuai‐Xia Xu Lun Zhang
+	Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles	2017	Peter J. Forrester J. R. Ipsen Dang-Zheng Liu Lun Zhang
+	Jacobi polynomials on the Bernstein ellipse	2017	Haiyong Wang Lun Zhang
+ PDF Chat	Bulk and soft-edge universality for singular values of products of Ginibre random matrices	2016	Dang-Zheng Liu Dong Wang Lun Zhang
+	Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices	2016	Lun Zhang
+ PDF Chat	On Wright’s generalized Bessel kernel	2016	Lun Zhang
+	Remarks on the Wright's generalized Bessel kernel	2016	Lun Zhang
+	Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices	2016	Lun Zhang
+ PDF Chat	Location of Poles for the Hastings–McLeod Solution to the Second Painlevé Equation	2015	Min Huang Shuai‐Xia Xu Lun Zhang
+ PDF Chat	Local Universality in Biorthogonal Laguerre Ensembles	2015	Lun Zhang
+ PDF Chat	On Certain Wronskians of Multiple Orthogonal Polynomials	2014	Lun Zhang
+	Transitions Between Critical Kernels: From the Tacnode Kernel and Critical Kernel in the Two-Matrix Model to the Pearcey Kernel	2014	Dries Geudens Lun Zhang
+	Multiple orthogonal polynomials associated with an exponential cubic weight	2014	Walter Van Assche Galina Filipuk Lun Zhang
+ PDF Chat	Singular Values of Products of Ginibre Random Matrices, Multiple Orthogonal Polynomials and Hard Edge Scaling Limits	2014	Arno B. J. Kuijlaars Lun Zhang
+	Bulk and soft-edge universality for singular values of products of Ginibre random matrices	2014	Dang-Zheng Liu Dong Wang Lun Zhang
+	Location of Poles for the Hastings-McLeod Solution to the Second Painlevé Equation	2014	Min Huang Shuai‐Xia Xu Lun Zhang
+ PDF Chat	A note on the limiting mean distribution of singular values for products of two Wishart random matrices	2013	Lun Zhang
+ PDF Chat	Universality and critical behaviour in the chiral two-matrix model	2013	Steven Delvaux Dries Geudens Lun Zhang
+ PDF Chat	Ladder operators and differential equations for multiple orthogonal polynomials	2013	Galina Filipuk Walter Van Assche Lun Zhang
+ PDF Chat	The generalized Krawtchouk polynomials and the fifth Painlevé equation	2013	Lies Boelen Galina Filipuk Christophe Smet Walter Van Assche Lun Zhang
+ PDF Chat	Non-intersecting squared Bessel paths with one positive starting and ending point	2012	Steven Delvaux Arno B. J. Kuijlaars Pablo Román Lun Zhang
+ PDF Chat	The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation	2012	Galina Filipuk Walter Van Assche Lun Zhang
+	Transitions between critical kernels: from the tacnode kernel and critical kernel in the two-matrix model to the Pearcey kernel	2012	Dries Geudens Lun Zhang
+	The generalized Krawtchouk polynomials and the fifth Painlevé equation	2012	Lies Boelen Galina Filipuk Christophe Smet Walter Van Assche Lun Zhang
+ PDF Chat	Critical behavior of nonintersecting Brownian motions at a tacnode	2011	Steven Delvaux Arno B. J. Kuijlaars Lun Zhang
+	Non-intersecting squared Bessel paths with one positive starting and ending point	2011	Steven Delvaux Arno B. J. Kuijlaars Pablo Román Lun Zhang
+	Asymptotic expansions and fast computation of oscillatory Hilbert transforms	2011	Haiyong Wang Lun Zhang Daan Huybrechs
+	On tronquée solutions of the first Painlevé hierarchy	2010	Dan Dai Lun Zhang
+	Critical behavior of non-intersecting Brownian motions at a tacnode	2010	Steven Delvaux Arno B. J. Kuijlaars Lun Zhang

Common Coauthors

Coauthor	Papers Together
Shuai‐Xia Xu	11
Dan Dai	9
Steven Delvaux	5
Luming Yao	5
Shane Kepley	5
Walter Van Assche	5
Galina Filipuk	5
Arno B. J. Kuijlaars	5
Konstantin Mischaikow	5
Dang-Zheng Liu	4
Dries Geudens	3
Dong Wang	3
Haiyong Wang	2
J. R. Ipsen	2
Bree Cummins	2
Christophe Smet	2
Pablo Román	2
Marcio Gameiro	2
Tomáš Gedeon	2
Lies Boelen	2
Peter J. Forrester	2
Yiling Yang	1
Junwen Liu	1
Dongyang Li	1
Luming Yao	1
Taiyang Xu	1
Haiyong Wang	1
Wuzhao Li	1
Daan Huybrechs	1
Guilherme L. F. Silva	1
Min Huang	1
Wen‐Gao Long	1
Zhiou Zhang	1
Dan Dai	1
Min Huang	1
Dong Wang	1
Li Li	1
Weian Guo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift	20
+	Biorthogonal ensembles	1998	Alexei Borodin	14
+	Classical and Quantum Orthogonal Polynomials in One Variable	2005	Mourad E. H. Ismail	12
+	Log-Gases and Random Matrices	2010	Peter J. Forrester	12
+	The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [−1,1]	2004	Arno B. J. Kuijlaars K. T-R McLaughlin Walter Van Assche M. Vanlessen	12
+ PDF Chat	Level-spacing distributions and the Airy kernel	1994	Craig A. Tracy Harold Widom	11
+	Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory	1999	Percy Deift T. Kriecherbauer K. T-R McLaughlin Stephanos Venakides Xin Zhou	11
+	A boundary value problem associated with the second painlev� transcendent and the Korteweg-de Vries equation	1980	S. P. Hastings John Mcleod	10
+ PDF Chat	Level spacing distributions and the Bessel kernel	1994	Craig A. Tracy Harold Widom	9
+ PDF Chat	Products of rectangular random matrices: Singular values and progressive scattering	2013	Gernot Akemann J. R. Ipsen Mario Kieburg	9
+ PDF Chat	Singular Values of Products of Ginibre Random Matrices, Multiple Orthogonal Polynomials and Hard Edge Scaling Limits	2014	Arno B. J. Kuijlaars Lun Zhang	9
+ PDF Chat	Singular value correlation functions for products of Wishart random matrices	2013	Gernot Akemann Mario Kieburg Lu Wei	8
+	The spectrum edge of random matrix ensembles	1993	Peter J. Forrester	8
+ PDF Chat	Asymptotics of non-intersecting Brownian motions and a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>4</mml:mn><mml:mo>×</mml:mo><mml:mn>4</mml:mn></mml:math> Riemann–Hilbert problem	2008	Evi Daems Arno B. J. Kuijlaars Willem Veys	8
+	Riemann-Hilbert Problems for Multiple Orthogonal Polynomials	2001	Walter Van Assche Jeffrey S. Geronimo Arno B. J. Kuijlaars	8
+ PDF Chat	Universal singularity at the closure of a gap in a random matrix theory	1998	E. Brézin S. Hikami	8
+ PDF Chat	Singular values of products of random matrices and polynomial ensembles	2014	Arno B. J. Kuijlaars Dries Stivigny	8
+ PDF Chat	A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation	1993	Percy Deift Xin Zhou	7
+	The isomonodromy approach to matric models in 2D quantum gravity	1992	A. S. Fokas A. R. Its A. V. Kitaev	7
+	A Riemann-Hilbert Approach to Asymptotic Problems Arising in the Theory of Random Matrix Models, and also in the Theory of Integrable Statistical Mechanics	1997	Percy Deift Alexander Its Xin Zhou	7
+ PDF Chat	Large n Limit of Gaussian Random Matrices with External Source, Part III: Double Scaling Limit	2006	Pavel Bleher Arno B. J. Kuijlaars	7
+ PDF Chat	Non-Intersecting Squared Bessel Paths and Multiple Orthogonal Polynomials for Modified Bessel Weights	2008	Arno B. J. Kuijlaars Andrei Martı́nez-Finkelshtein Franck Wielonsky	7
+ PDF Chat	Recent Exact and Asymptotic Results for Products of Independent Random Matrices	2015	Gernot Akemann J. R. Ipsen	7
+	The Special Functions and Their Approximations	1972	C. W. Clenshaw Yudell L. Luke	7
+ PDF Chat	Level spacing of random matrices in an external source	1998	E. Brézin S. Hikami	7
+ PDF Chat	A Phase Transition for Nonintersecting Brownian Motions, and the Painleve II Equation	2009	Steven Delvaux Arno B. J. Kuijlaars	7
+ PDF Chat	PDEs for the Gaussian ensemble with external source and the Pearcey distribution	2006	Mark Adler Pierre van Moerbeke	7
+ PDF Chat	Critical behavior of nonintersecting Brownian motions at a tacnode	2011	Steven Delvaux Arno B. J. Kuijlaars Lun Zhang	7
+	Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions	2007	Evi Daems Arno B. J. Kuijlaars	7
+	The Pearcey Process	2006	Craig A. Tracy Harold Widom	6
+	Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory	2002	Alexei Borodin Percy Deift	6
+ PDF Chat	Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field	2013	Marco Bertola M. Gekhtman Jacek Szmigielski	6
+ PDF Chat	Multi-critical unitary random matrix ensembles and the general Painlevé II equation	2008	Tom Claeys Arno B. J. Kuijlaars M. Vanlessen	6
+	Multiple orthogonal polynomials	1998	Alexander Ivanovich Aptekarev	6
+	Multiple orthogonal polynomials in random matrix theory	2010	Arno B. J. Kuijlaars	6
+ PDF Chat	Universality of the double scaling limit in random matrix models	2005	Tom Claeys Arno B. J. Kuijlaars	6
+ PDF Chat	Local Universality in Biorthogonal Laguerre Ensembles	2015	Lun Zhang	6
+ PDF Chat	Multiple orthogonal polynomial ensembles	2010	Arno B. J. Kuijlaars	6
+ PDF Chat	A note on the limiting mean distribution of singular values for products of two Wishart random matrices	2013	Lun Zhang	6
+	Nonintersecting random walks in the neighborhood of a symmetric tacnode	2013	Mark Adler Patrik L. Ferrari Pierre van Moerbeke	5
+ PDF Chat	A note on biorthogonal ensembles	2008	Patrick Desrosiers Peter J. Forrester	5
+	Multiple orthogonal polynomials of mixed type: Gauss–Borel factorization and the multi-component 2D Toda hierarchy	2011	Carlos Álvarez-Fernández U. Fidalgo Prieto Manuel Mañas	5
+ PDF Chat	A critical phenomenon in the two-matrix model in the quartic/quadratic case	2013	Maurice Duits Dries Geudens	5
+ PDF Chat	Double scaling limit in the random matrix model: The Riemann‐Hilbert approach	2003	Pavel Bleher Alexander Its	5
+ PDF Chat	Eigenvalues and singular values of products of rectangular Gaussian random matrices	2010	Z. Burda Andrzej Jarosz Giacomo Livan Maciej A. Nowak Artur Święch	5
+ PDF Chat	Product of Ginibre matrices: Fuss-Catalan and Raney distributions	2011	K. A. Penson Karol Życzkowski	5
+ PDF Chat	Energy correlations for a random matrix model of disordered bosons	2006	T. Lueck H.-J. Sommers Martin R. Zirnbauer	5
+ PDF Chat	Recherches sur les transcendantes de M. Painlevé et l'étude asymptotique des équations différentielles du second ordre	1913	Pierre Boutroux	5
+ PDF Chat	Weakly admissible vector equilibrium problems	2012	Adrien Hardy Arno B. J. Kuijlaars	5
+ PDF Chat	Singular Values of Products of Ginibre Random Matrices	2016	N. S. Witte Peter J. Forrester	5