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Kuijlaars, Arno B. J.

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Author ID: kuijlaars.arno-b-j Recent zbMATH articles by "Kuijlaars, Arno B. J."
Published as: Kuijlaars, A. B. J.; Kuijlaars, Arno B. J.; Kuijlaars, Arno
Homepage: https://perswww.kuleuven.be/~u0017946/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 124 Publications since 1993, including 1 Book
1 Contribution as Editor
Reviewing Activity: 8 Reviews
Co-Authors: 65 Co-Authors with 101 Joint Publications
1,406 Co-Co-Authors
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Serials

20 Journal of Approximation Theory
10 Communications in Mathematical Physics
9 Journal of Computational and Applied Mathematics
9 Constructive Approximation
6 Nonlinearity
6 IMRN. International Mathematics Research Notices
5 Communications on Pure and Applied Mathematics
3 Advances in Mathematics
3 SIAM Journal on Matrix Analysis and Applications
3 Indagationes Mathematicae. New Series
3 Random Matrices: Theory and Applications
2 Journal d’Analyse Mathématique
2 Mathematics of Computation
2 SIAM Journal on Numerical Analysis
2 Studies in Applied Mathematics
2 Transactions of the American Mathematical Society
2 SIAM Review
2 ETNA. Electronic Transactions on Numerical Analysis
2 Computational Methods and Function Theory
1 Inverse Problems
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Annales de l’Institut Fourier
1 Duke Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Nieuw Archief voor Wiskunde. Vierde Serie
1 Methods and Applications of Analysis
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 IMRP. International Mathematics Research Papers
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 2,481 times in 1,207 Documents Cited by Year
Distributing many points on a sphere. Zbl 0901.11028
Saff, E. B.; Kuijlaars, A. B. J.
159
1997
The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017
Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M.
115
2004
Asymptotics for minimal discrete energy on the sphere. Zbl 0896.52019
Kuijlaars, A. B. J.; Saff, E. B.
77
1998
Random matrices with external source and multiple orthogonal polynomials. Zbl 1082.15035
Bleher, P. M.; Kuijlaars, A. B. J.
72
2004
Large \(n\) limit of Gaussian random matrices with external source. II. Zbl 1129.82014
Aptekarev, Alexander I.; Bleher, Pavel M.; Kuijlaars, Arno B. J.
72
2005
Large \(n\) limit of Gaussian random matrices with external source. III: Double scaling limit. Zbl 1126.82010
Bleher, Pavel M.; Kuijlaars, Arno B. J.
65
2007
Large \(n\) limit of Gaussian random matrices with external source. I. Zbl 1124.82309
Bleher, Pavel; Kuijlaars, Arno B. J.
60
2004
Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012
Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J.
59
2001
The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009
Kuijlaars, A. B. J.; Van Assche, W.
59
1999
Impossibility of fast stable approximation of analytic functions from equispaced samples. Zbl 1247.41001
Platte, Rodrigo B.; Trefethen, Lloyd N.; Kuijlaars, Arno B. J.
56
2011
Universality for eigenvalue correlations from the modified Jacobi unitary ensemble. Zbl 1122.30303
Kuijlaars, A. B. J.; Vanlessen, M.
52
2002
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
50
2014
Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields. Zbl 1022.31001
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
48
2000
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions. Zbl 1135.42324
Daems, E.; Kuijlaars, A. B. J.
42
2007
Universality of the double scaling limit in random matrix models. Zbl 1111.35031
Claeys, Tom; Kuijlaars, Arno B. J.
41
2006
Multi-critical unitary random matrix ensembles and the general Painlevé II equation. Zbl 1179.15037
Claeys, Tom; Kuijlaars, Arno B. J.; Vanlessen, Maarten
39
2008
Superlinear convergence of conjugate gradients. Zbl 0997.65058
Beckermann, Bernhard; Kuijlaars, Arno B. J.
38
2001
Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. Zbl 1188.60018
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
37
2009
Strong asymptotics for Jacobi polynomials with varying nonstandard parameters. Zbl 1126.33003
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.
36
2004
Singular values of products of random matrices and polynomial ensembles. Zbl 1303.15045
Kuijlaars, Arno B. J.; Stivigny, Dries
35
2014
Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R.
33
2005
Multiple orthogonal polynomial ensembles. Zbl 1218.60005
Kuijlaars, Arno B. J.
31
2010
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
30
2004
A Christoffel–Darboux formula for multiple orthogonal polynomials. Zbl 1063.42014
Daems, E.; Kuijlaars, A. B. J.
30
2004
Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight. Zbl 1129.34059
Duits, M.; Kuijlaars, A. B. J.
29
2006
Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. Zbl 1035.30027
Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R.
28
2001
Random matrix model with external source and a constrained vector equilibrium problem. Zbl 1206.60007
Bleher, P.; Delvaux, S.; Kuijlaars, A. B. J.
28
2011
Convergence analysis of Krylov subspace iterations with methods from potential theory. Zbl 1092.65031
Kuijlaars, Arno B. J.
27
2006
Integral representations for multiple Hermite and multiple Laguerre polynomials. Zbl 1084.33008
Bleher, Pavel M.; Kuijlaars, Arno B. J.
27
2005
Critical edge behavior in unitary random matrix ensembles and the thirty-fourth Painlevé transcendent. Zbl 1141.82305
Its, Alexander R.; Kuijlaars, Arno B. J.; Östensson, Jörgen
27
2008
Critical behavior of nonintersecting Brownian motions at a tacnode. Zbl 1231.60085
Delvaux, Steven; Kuijlaars, Arno B. J.; Zhang, Lun
27
2011
Universality for eigenvalue correlations at the origin of the spectrum. Zbl 1041.82007
Kuijlaars, A. B. J.; Vanlessen, M.
26
2003
Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093
Davies, E. B.; Kuijlaars, A. B. J.
26
2004
Recurrence relations for exceptional Hermite polynomials. Zbl 1336.33025
Gómez-Ullate, D.; Kasman, A.; Kuijlaars, A. B. J.; Milson, R.
25
2016
Universality in the two-matrix model: a Riemann-Hilbert steepest-descent analysis. Zbl 1221.15052
Duits, Maurice; Kuijlaars, Arno B. J.
25
2009
Multiple orthogonal polynomials in random matrix theory. Zbl 1230.42034
Kuijlaars, Arno B. J.
25
2011
Equilibrium problems associated with fast decreasing polynomials. Zbl 1050.31002
Kuijlaars, A. B. J.; Dragnev, P. D.
23
1999
Hermite-Padé approximations and multiple orthogonal polynomial ensembles. Zbl 1243.41004
Aptekarev, A. I.; Kuijlaars, A. B. J.
23
2011
Riemann-Hilbert analysis for orthogonal polynomials. Zbl 1042.42016
Kuijlaars, Arno B. J.
22
2003
An equilibrium problem for the limiting eigenvalue distribution of banded Toeplitz matrices. Zbl 1185.15008
Duits, Maurice; Kuijlaars, Arno B. J.
22
2008
Zero distributions for discrete orthogonal polynomials. Zbl 0929.33010
Kuijlaars, A. B. J.; Rakhmanov, E. A.
21
1999
Non-intersecting squared Bessel paths: Critical time and double scaling limit. Zbl 1245.60044
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
21
2011
Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004
Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter
21
2008
Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. Zbl 1084.41007
Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F.
20
2005
A Riemann-Hilbert problem for biorthogonal polynomials. Zbl 1096.42009
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
20
2005
The Hermitian two matrix model with an even quartic potential. Zbl 1247.15032
Duits, Maurice; Kuijlaars, Arno B. J.; Mo, Man Yue
20
2012
Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients. Zbl 0990.42008
Kuijlaars, A. B. J.; Serra Capizzano, Stefano
19
2001
Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014
Gautschi, Walter; Kuijlaars, A. B. J.
19
1997
Weakly admissible vector equilibrium problems. Zbl 1241.49008
Hardy, Adrien; Kuijlaars, Arno B. J.
19
2012
Which eigenvalues are found by the Lanczos method? Zbl 0969.65028
Kuijlaars, A. B. J.
18
2000
Singular value statistics of matrix products with truncated unitary matrices. Zbl 1404.60013
Kieburg, Mario; Kuijlaars, Arno B. J.; Stivigny, Dries
18
2016
Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. Zbl 1223.41017
Deaño, A.; Huybrechs, D.; Kuijlaars, A. B. J.
17
2010
On separation of minimal Riesz energy points on spheres in Euclidean spaces. Zbl 1110.49003
Kuijlaars, A. B. J.; Saff, E. B.; Sun, X.
17
2007
Zeros of exceptional Hermite polynomials. Zbl 1331.33024
Kuijlaars, A. B. J.; Milson, R.
16
2015
Orthogonal polynomials in the normal matrix model with a cubic potential. Zbl 1250.42079
Bleher, Pavel M.; Kuijlaars, Arno B. J.
16
2012
Exceptional Laguerre polynomials. Zbl 1408.33019
Bonneux, Niels; Kuijlaars, Arno B. J.
15
2018
A vector equilibrium problem for the two-matrix model in the quartic/quadratic case. Zbl 1211.31006
Duits, Maurice; Geudens, Dries; Kuijlaars, Arno B. J.
15
2011
The minimal number of nodes in Chebyshev type quadrature formulas. Zbl 0795.41025
Kuijlaars, Arno
14
1993
Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight. Zbl 1189.33014
Dai, D.; Kuijlaars, A. B. J.
14
2009
Universality in unitary random matrix ensembles when the soft edge meets the hard edge. Zbl 1147.15303
Claeys, Tom; Kuijlaars, Arno B. J.
14
2008
Extremal polynomials on discrete sets. Zbl 1033.42024
Kuijlaars, A. B. J.; Van Assche, W.
14
1999
S-curves in polynomial external fields. Zbl 1314.31006
Kuijlaars, Arno B. J.; Silva, Guilherme L. F.
14
2015
Asymptotics of non-intersecting Brownian motions and a \(4\times 4\) Riemann-Hilbert problem. Zbl 1149.60050
Daems, Evi; Kuijlaars, Arno B. J.; Veys, Willem
13
2008
Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038
Its, A. R.; Kuijlaars, A. B. J.; Östensson, J.
13
2009
Universality. Zbl 1236.15071
Kuijlaars, A. B. J.
12
2011
A phase transition for nonintersecting Brownian motions, and the Painlevé II equation. Zbl 1182.60023
Delvaux, Steven; Kuijlaars, Arno B. J.
11
2009
Superlinear CG convergence for special right-hand sides. Zbl 1024.65102
Beckermann, Bernhard; Kuijlaars, Arno B. J.
11
2002
The local universality of Muttalib-Borodin biorthogonal ensembles with parameter \(\theta = \frac{1}{2}\). Zbl 1427.60013
Kuijlaars, A. B. J.; Molag, L. D.
11
2019
Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials. Zbl 1001.35116
Coussement, J.; Kuijlaars, A. B. J.; Van Assche, W.
10
2002
Asymptotic behavior of quadratic Hermite-Padé approximants to the exponential function and Riemann-Hilbert problems. (Asymptotique des approximants de Hermite-Padé quadratiques de la fonction exponentielle et problèmes de Riemann-Hilbert.) Zbl 1056.30038
Kuijlaars, Arno; Stahl, Herbert; Van Assche, Walter; Wielonsky, Franck
10
2003
The normal matrix model with a monomial potential, a vector equilibrium problem, and multiple orthogonal polynomials on a star. Zbl 1314.31005
Kuijlaars, Arno B. J.; López-García, Abey
10
2015
Asymptotic distribution of the zeros of Faber polynomials. Zbl 0848.30004
Kuijlaars, A. B. J.; Saff, E. B.
10
1995
Correlation kernels for sums and products of random matrices. Zbl 1330.15040
Claeys, Tom; Kuijlaars, Arno B. J.; Wang, Dong
10
2014
Recurrence relations and vector equilibrium problems arising from a model of non-intersecting squared Bessel paths. Zbl 1210.33018
Kuijlaars, A. B. J.; Román, P.
10
2010
The support of the equilibrium measure in the presence of a monomial external field on \([-1,1]\). Zbl 0943.31001
Damelin, S. B.; Kuijlaars, A. B. J.
10
1999
The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials. Zbl 1245.34086
Kuijlaars, Arno B. J.; Mo, Man Yue
10
2011
Type II Hermite-Padé approximation to the exponential function. Zbl 1119.41010
Kuijlaars, A. B. J.; Stahl, H.; Van Assche, W.; Wielonsky, F.
9
2007
The supercritical regime in the normal matrix model with cubic potential. Zbl 1330.82024
Kuijlaars, A. B. J.; Tovbis, A.
9
2015
Transformations of polynomial ensembles. Zbl 1375.60021
Kuijlaars, Arno B. J.
9
2016
Zero distribution of complex orthogonal polynomials with respect to exponential weights. Zbl 1297.42037
Huybrechs, Daan; Kuijlaars, Arno B. J.; Lejon, Nele
9
2014
Double scaling limit for modified Jacobi-Angelesco polynomials. Zbl 1254.30046
Deschout, Klaas; Kuijlaars, Arno B. J.
9
2011
Convergence of the isometric Arnoldi process. Zbl 1082.65038
Helsen, S.; Kuijlaars, A. B. J.; Van Barel, M.
8
2005
Chebyshev-type quadrature for Jacobi weight functions. Zbl 0821.41029
Kuijlaars, Arno
8
1995
The role of the endpoint in weighted polynomial approximation with varying weights. Zbl 0864.41006
Kuijlaars, A. B. J.
8
1996
On the finite-gap ansatz in the continuum limit of the Toda lattice. Zbl 0966.37037
Kuijlaars, A. B. J.
8
2000
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
8
2012
A note on weighted polynomial approximation with varying weights. Zbl 0862.41005
Kuijlaars, A. B. J.
7
1996
A vector equilibrium problem for Muttalib-Borodin biorthogonal ensembles. Zbl 1342.31001
Kuijlaars, Arno B. J.
7
2016
A graph-based equilibrium problem for the limiting distribution of nonintersecting Brownian motions at low temperature. Zbl 1220.82056
Delvaux, Steven; Kuijlaars, Arno B. J.
7
2010
Locating the zeros of partial sums of \(e^z\) with Riemann-Hilbert methods. Zbl 1154.30006
Kriecherbauer, T.; Kuijlaars, A. B. J.; McLaughlin, K. D. T.-R.; Miller, P. D.
7
2008
Spherical functions approach to sums of random Hermitian matrices. Zbl 1460.15039
Kuijlaars, Arno B. J.; Román, Pablo
6
2019
Multiple Meixner-Pollaczek polynomials and the six-vertex model. Zbl 1227.82013
Bender, Martin; Delvaux, Steven; Kuijlaars, Arno B. J.
6
2011
Chebyshev-type quadrature and partial sums of the exponential series. Zbl 0829.65023
Kuijlaars, Arno B. J.
5
1995
Chebyshev-type quadrature for analytic weights on the circle and the interval. Zbl 0845.41021
Kuijlaars, A. B. J.
5
1995
Chebyshev-type quadrature and zeros of Faber polynomials. Zbl 0847.41020
Kuijlaars, A. B. J.
5
1995
Propagation of singular behavior for Gaussian perturbations of random matrices. Zbl 1410.60011
Claeys, Tom; Kuijlaars, Arno B. J.; Liechty, Karl; Wang, Dong
5
2018
The support of the equilibrium measure for a class of external fields on a finite interval. Zbl 1062.31002
Damelin, S. B.; Dragnev, P. D.; Kuijlaars, A. B. J.
4
2001
Weighted approximation with varying weights: The case of a power-type singularity. Zbl 0962.41002
Kuijlaars, A. B. J.
4
1996
A problem of Totik on fast decreasing polynomials. Zbl 0894.41008
Kuijlaars, Arno B. J.; Van Assche, W.
4
1998
The zeros of Faber polynomials generated by an \(m\)-star. Zbl 0843.30010
Kuijlaars, Arno B. J.
4
1996
The two-periodic Aztec diamond and matrix valued orthogonal polynomials. Zbl 1487.60018
Duits, Maurice; Kuijlaars, Arno B. J.
4
2021
On minimal energy solutions to certain classes of integral equations related to soliton gases for integrable systems. Zbl 1479.31001
Kuijlaars, Arno; Tovbis, Alexander
1
2021
A periodic hexagon tiling model and non-Hermitian orthogonal polynomials. Zbl 1446.52017
Charlier, Christophe; Duits, M.; Kuijlaars, A. B. J.; Lenells, J.
3
2020
The local universality of Muttalib-Borodin biorthogonal ensembles with parameter \(\theta = \frac{1}{2}\). Zbl 1427.60013
Kuijlaars, A. B. J.; Molag, L. D.
11
2019
Spherical functions approach to sums of random Hermitian matrices. Zbl 1460.15039
Kuijlaars, Arno B. J.; Román, Pablo
6
2019
A numerical method for oscillatory integrals with coalescing saddle points. Zbl 07134558
Huybrechs, Daan; Kuijlaars, Arno; Lejon, Nele
2
2019
Universality for conditional measures of the sine point process. Zbl 1422.60083
Kuijlaars, Arno B. J.; Miña-Díaz, Erwin
1
2019
Exceptional Laguerre polynomials. Zbl 1408.33019
Bonneux, Niels; Kuijlaars, Arno B. J.
15
2018
Propagation of singular behavior for Gaussian perturbations of random matrices. Zbl 1410.60011
Claeys, Tom; Kuijlaars, Arno B. J.; Liechty, Karl; Wang, Dong
5
2018
Recurrence relations for exceptional Hermite polynomials. Zbl 1336.33025
Gómez-Ullate, D.; Kasman, A.; Kuijlaars, A. B. J.; Milson, R.
25
2016
Singular value statistics of matrix products with truncated unitary matrices. Zbl 1404.60013
Kieburg, Mario; Kuijlaars, Arno B. J.; Stivigny, Dries
18
2016
Transformations of polynomial ensembles. Zbl 1375.60021
Kuijlaars, Arno B. J.
9
2016
A vector equilibrium problem for Muttalib-Borodin biorthogonal ensembles. Zbl 1342.31001
Kuijlaars, Arno B. J.
7
2016
Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions. Zbl 1433.33007
Deaño, Alfredo; Kuijlaars, Arno B. J.; Román, Pablo
1
2016
Zeros of exceptional Hermite polynomials. Zbl 1331.33024
Kuijlaars, A. B. J.; Milson, R.
16
2015
S-curves in polynomial external fields. Zbl 1314.31006
Kuijlaars, Arno B. J.; Silva, Guilherme L. F.
14
2015
The normal matrix model with a monomial potential, a vector equilibrium problem, and multiple orthogonal polynomials on a star. Zbl 1314.31005
Kuijlaars, Arno B. J.; López-García, Abey
10
2015
The supercritical regime in the normal matrix model with cubic potential. Zbl 1330.82024
Kuijlaars, A. B. J.; Tovbis, A.
9
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
50
2014
Singular values of products of random matrices and polynomial ensembles. Zbl 1303.15045
Kuijlaars, Arno B. J.; Stivigny, Dries
35
2014
Correlation kernels for sums and products of random matrices. Zbl 1330.15040
Claeys, Tom; Kuijlaars, Arno B. J.; Wang, Dong
10
2014
Zero distribution of complex orthogonal polynomials with respect to exponential weights. Zbl 1297.42037
Huybrechs, Daan; Kuijlaars, Arno B. J.; Lejon, Nele
9
2014
The tacnode Riemann-Hilbert problem. Zbl 1304.30052
Kuijlaars, Arno
4
2014
Asymptotic analysis of the two-matrix model with a quartic potential. Zbl 1360.60015
Duits, Maurice; Kuijlaars, Arno B. J.; Mo, Man Yue
2
2014
Large deviations for a non-centered Wishart matrix. Zbl 1271.60015
Hardy, Adrien; Kuijlaars, Arno B. J.
4
2013
Weakly admissible vector equilibrium problems. Zbl 1281.31002
Hardy, Adrien; Kuijlaars, Arno B. J.
3
2013
The Hermitian two matrix model with an even quartic potential. Zbl 1247.15032
Duits, Maurice; Kuijlaars, Arno B. J.; Mo, Man Yue
20
2012
Weakly admissible vector equilibrium problems. Zbl 1241.49008
Hardy, Adrien; Kuijlaars, Arno B. J.
19
2012
Orthogonal polynomials in the normal matrix model with a cubic potential. Zbl 1250.42079
Bleher, Pavel M.; Kuijlaars, Arno B. J.
16
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
8
2012
Critical behavior in Angelesco ensembles. Zbl 1278.15039
Deschout, K.; Kuijlaars, A. B. J.
1
2012
Impossibility of fast stable approximation of analytic functions from equispaced samples. Zbl 1247.41001
Platte, Rodrigo B.; Trefethen, Lloyd N.; Kuijlaars, Arno B. J.
56
2011
Random matrix model with external source and a constrained vector equilibrium problem. Zbl 1206.60007
Bleher, P.; Delvaux, S.; Kuijlaars, A. B. J.
28
2011
Critical behavior of nonintersecting Brownian motions at a tacnode. Zbl 1231.60085
Delvaux, Steven; Kuijlaars, Arno B. J.; Zhang, Lun
27
2011
Multiple orthogonal polynomials in random matrix theory. Zbl 1230.42034
Kuijlaars, Arno B. J.
25
2011
Hermite-Padé approximations and multiple orthogonal polynomial ensembles. Zbl 1243.41004
Aptekarev, A. I.; Kuijlaars, A. B. J.
23
2011
Non-intersecting squared Bessel paths: Critical time and double scaling limit. Zbl 1245.60044
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
21
2011
A vector equilibrium problem for the two-matrix model in the quartic/quadratic case. Zbl 1211.31006
Duits, Maurice; Geudens, Dries; Kuijlaars, Arno B. J.
15
2011
Universality. Zbl 1236.15071
Kuijlaars, A. B. J.
12
2011
The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials. Zbl 1245.34086
Kuijlaars, Arno B. J.; Mo, Man Yue
10
2011
Double scaling limit for modified Jacobi-Angelesco polynomials. Zbl 1254.30046
Deschout, Klaas; Kuijlaars, Arno B. J.
9
2011
Multiple Meixner-Pollaczek polynomials and the six-vertex model. Zbl 1227.82013
Bender, Martin; Delvaux, Steven; Kuijlaars, Arno B. J.
6
2011
Multiple orthogonal polynomial ensembles. Zbl 1218.60005
Kuijlaars, Arno B. J.
31
2010
Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. Zbl 1223.41017
Deaño, A.; Huybrechs, D.; Kuijlaars, A. B. J.
17
2010
Recurrence relations and vector equilibrium problems arising from a model of non-intersecting squared Bessel paths. Zbl 1210.33018
Kuijlaars, A. B. J.; Román, P.
10
2010
A graph-based equilibrium problem for the limiting distribution of nonintersecting Brownian motions at low temperature. Zbl 1220.82056
Delvaux, Steven; Kuijlaars, Arno B. J.
7
2010
Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. Zbl 1188.60018
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
37
2009
Universality in the two-matrix model: a Riemann-Hilbert steepest-descent analysis. Zbl 1221.15052
Duits, Maurice; Kuijlaars, Arno B. J.
25
2009
Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight. Zbl 1189.33014
Dai, D.; Kuijlaars, A. B. J.
14
2009
Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038
Its, A. R.; Kuijlaars, A. B. J.; Östensson, J.
13
2009
A phase transition for nonintersecting Brownian motions, and the Painlevé II equation. Zbl 1182.60023
Delvaux, Steven; Kuijlaars, Arno B. J.
11
2009
The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights. Zbl 1177.42021
Kuijlaars, A. B. J.; Tibboel, P. M. J.
3
2009
Multi-critical unitary random matrix ensembles and the general Painlevé II equation. Zbl 1179.15037
Claeys, Tom; Kuijlaars, Arno B. J.; Vanlessen, Maarten
39
2008
Critical edge behavior in unitary random matrix ensembles and the thirty-fourth Painlevé transcendent. Zbl 1141.82305
Its, Alexander R.; Kuijlaars, Arno B. J.; Östensson, Jörgen
27
2008
An equilibrium problem for the limiting eigenvalue distribution of banded Toeplitz matrices. Zbl 1185.15008
Duits, Maurice; Kuijlaars, Arno B. J.
22
2008
Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004
Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter
21
2008
Universality in unitary random matrix ensembles when the soft edge meets the hard edge. Zbl 1147.15303
Claeys, Tom; Kuijlaars, Arno B. J.
14
2008
Asymptotics of non-intersecting Brownian motions and a \(4\times 4\) Riemann-Hilbert problem. Zbl 1149.60050
Daems, Evi; Kuijlaars, Arno B. J.; Veys, Willem
13
2008
Locating the zeros of partial sums of \(e^z\) with Riemann-Hilbert methods. Zbl 1154.30006
Kriecherbauer, T.; Kuijlaars, A. B. J.; McLaughlin, K. D. T.-R.; Miller, P. D.
7
2008
Large \(n\) limit of Gaussian random matrices with external source. III: Double scaling limit. Zbl 1126.82010
Bleher, Pavel M.; Kuijlaars, Arno B. J.
65
2007
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions. Zbl 1135.42324
Daems, E.; Kuijlaars, A. B. J.
42
2007
On separation of minimal Riesz energy points on spheres in Euclidean spaces. Zbl 1110.49003
Kuijlaars, A. B. J.; Saff, E. B.; Sun, X.
17
2007
Type II Hermite-Padé approximation to the exponential function. Zbl 1119.41010
Kuijlaars, A. B. J.; Stahl, H.; Van Assche, W.; Wielonsky, F.
9
2007
Universality of the double scaling limit in random matrix models. Zbl 1111.35031
Claeys, Tom; Kuijlaars, Arno B. J.
41
2006
Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight. Zbl 1129.34059
Duits, M.; Kuijlaars, A. B. J.
29
2006
Convergence analysis of Krylov subspace iterations with methods from potential theory. Zbl 1092.65031
Kuijlaars, Arno B. J.
27
2006
Large \(n\) limit of Gaussian random matrices with external source. II. Zbl 1129.82014
Aptekarev, Alexander I.; Bleher, Pavel M.; Kuijlaars, Arno B. J.
72
2005
Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R.
33
2005
Integral representations for multiple Hermite and multiple Laguerre polynomials. Zbl 1084.33008
Bleher, Pavel M.; Kuijlaars, Arno B. J.
27
2005
Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. Zbl 1084.41007
Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F.
20
2005
A Riemann-Hilbert problem for biorthogonal polynomials. Zbl 1096.42009
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
20
2005
Convergence of the isometric Arnoldi process. Zbl 1082.65038
Helsen, S.; Kuijlaars, A. B. J.; Van Barel, M.
8
2005
The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017
Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M.
115
2004
Random matrices with external source and multiple orthogonal polynomials. Zbl 1082.15035
Bleher, P. M.; Kuijlaars, A. B. J.
72
2004
Large \(n\) limit of Gaussian random matrices with external source. I. Zbl 1124.82309
Bleher, Pavel; Kuijlaars, Arno B. J.
60
2004
Strong asymptotics for Jacobi polynomials with varying nonstandard parameters. Zbl 1126.33003
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.
36
2004
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
30
2004
A Christoffel–Darboux formula for multiple orthogonal polynomials. Zbl 1063.42014
Daems, E.; Kuijlaars, A. B. J.
30
2004
Spectral asymptotics of the non-self-adjoint harmonic oscillator. Zbl 1073.34093
Davies, E. B.; Kuijlaars, A. B. J.
26
2004
Universality for eigenvalue correlations at the origin of the spectrum. Zbl 1041.82007
Kuijlaars, A. B. J.; Vanlessen, M.
26
2003
Riemann-Hilbert analysis for orthogonal polynomials. Zbl 1042.42016
Kuijlaars, Arno B. J.
22
2003
Asymptotic behavior of quadratic Hermite-Padé approximants to the exponential function and Riemann-Hilbert problems. (Asymptotique des approximants de Hermite-Padé quadratiques de la fonction exponentielle et problèmes de Riemann-Hilbert.) Zbl 1056.30038
Kuijlaars, Arno; Stahl, Herbert; Van Assche, Walter; Wielonsky, Franck
10
2003
Universality for eigenvalue correlations from the modified Jacobi unitary ensemble. Zbl 1122.30303
Kuijlaars, A. B. J.; Vanlessen, M.
52
2002
Superlinear CG convergence for special right-hand sides. Zbl 1024.65102
Beckermann, Bernhard; Kuijlaars, Arno B. J.
11
2002
Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials. Zbl 1001.35116
Coussement, J.; Kuijlaars, A. B. J.; Van Assche, W.
10
2002
Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012
Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J.
59
2001
Superlinear convergence of conjugate gradients. Zbl 0997.65058
Beckermann, Bernhard; Kuijlaars, Arno B. J.
38
2001
Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. Zbl 1035.30027
Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R.
28
2001
Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients. Zbl 0990.42008
Kuijlaars, A. B. J.; Serra Capizzano, Stefano
19
2001
The support of the equilibrium measure for a class of external fields on a finite interval. Zbl 1062.31002
Damelin, S. B.; Dragnev, P. D.; Kuijlaars, A. B. J.
4
2001
Asymptotic analysis of the density of states in random matrix models associated with a slowly decaying weight. Zbl 1009.42015
Kuijlaars, A. B. J.
2
2001
Long time behavior of the continuum limit of the Toda lattice, and the generation of infinitely many gaps from \(C^\infty\) initial data. Zbl 1007.37033
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
1
2001
Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields. Zbl 1022.31001
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
48
2000
Which eigenvalues are found by the Lanczos method? Zbl 0969.65028
Kuijlaars, A. B. J.
18
2000
On the finite-gap ansatz in the continuum limit of the Toda lattice. Zbl 0966.37037
Kuijlaars, A. B. J.
8
2000
Contracted zero distributions of extremal polynomials associated with slowly decaying weights. Zbl 0959.31003
Kuijlaars, A. B. J.
2
2000
The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009
Kuijlaars, A. B. J.; Van Assche, W.
59
1999
Equilibrium problems associated with fast decreasing polynomials. Zbl 1050.31002
Kuijlaars, A. B. J.; Dragnev, P. D.
23
1999
Zero distributions for discrete orthogonal polynomials. Zbl 0929.33010
Kuijlaars, A. B. J.; Rakhmanov, E. A.
21
1999
Extremal polynomials on discrete sets. Zbl 1033.42024
Kuijlaars, A. B. J.; Van Assche, W.
14
1999
...and 18 more Documents
all top 5

Cited by 1,204 Authors

61 Kuijlaars, Arno B. J.
31 Saff, Edward Barry
28 Van Assche, Walter
24 Serra-Capizzano, Stefano
23 Martínez-Finkelshtein, Andrei
22 Lubinsky, Doron S.
21 Forrester, Peter J.
20 Xu, Shuaixia
20 Zhang, Lun
19 Claeys, Tom
19 Zhao, Yuqiu
18 Bertola, Marco
17 Dai, Dan
17 López Lagomasino, Guillermo Tomás
16 Aptekarev, Alexander Ivanovich
15 Hardin, Douglas P.
15 Wong, Roderick Sue-Chuen
13 Delvaux, Steven
13 Duits, Maurice
12 Bleher, Pavel M.
11 Brauchart, Johann S.
11 Charlier, Christophe
11 Dragnev, Peter D.
11 Garoni, Carlo
11 McLaughlin, Kenneth D. T.-R.
11 Orive Rodríguez, Ramón Angel
11 Wielonsky, Franck
11 Yattselev, Maxim L.
10 Adler, Mark
10 Deaño, Alfredo
10 Deift, Percy A.
10 Grava, Tamara
10 Its, Alexander Rudolfovich
10 Le Gia, Quoc Thong
10 Liechty, Karl
10 Marcellán Español, Francisco
10 Starovoĭtov, Aleksandr Pavlovich
10 van Moerbeke, Pierre
10 Wang, Dong
9 Adcock, Ben
9 Huybrechs, Daan
8 Durán, Antonio José
8 Katori, Makoto
8 Mo, Man Yue
8 Pijeira-Cabrera, Héctor
8 Rakhmanov, Evgenij Andreevich
8 Shapiro, Boris Zalmanovich
7 Akemann, Gernot
7 Beltrán, Carlos
7 Damelin, Steven Benjamin
7 Erdős, László
7 Hardy, Adrien
7 Kieburg, Mario
7 Liu, Dangzheng
7 Milson, Robert
7 Moreno-Balcázar, Juan José
7 Neuschel, Thorsten
7 Silva, Guilherme L. F.
7 Strahov, Eugene
6 Baik, Jinho
6 Bothner, Thomas
6 Buckingham, Robert J.
6 Cavoretto, Roberto
6 Foulquié Moreno, Ana Pilar
6 Gómez-Ullate, David
6 Lee, Seung-Yeop
6 Li, Rencang
6 Mañas, Manuel
6 Manni, Carla
6 Serfaty, Sylvia
6 Siegl, Petr
6 Sloan, Ian Hugh
6 Speleers, Hendrik
6 Stahl, Herbert Robert
6 Suetin, Sergeĭ Pavlovich
6 Viola, Joe
6 Zhou, Jianrong
5 Beckermann, Bernhard
5 Benko, David
5 Bonneux, Niels
5 Borodin, Alexei
5 De Rossi, Alessandra
5 Fahs, Benjamin
5 Fidalgo, Ulises
5 Geronimo, Jeffrey S.
5 Ipsen, Jesper R.
5 Krasovsky, Igor V.
5 Levin, Eli
5 Lin, Yu
5 Mityagin, Boris Samuilovich
5 Sánchez Lara, Joaquin F.
5 Shcherbina, Mariya
5 Smyrnelis, Panayotis
5 Stevens, Marco
5 Tater, Miloš
5 Thabet, Faouzi
5 Totik, Vilmos
5 Van Barel, Marc
5 Vandebril, Raf
5 Vanlessen, Maarten
...and 1,104 more Authors
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Cited in 239 Serials

122 Journal of Approximation Theory
62 Constructive Approximation
59 Communications in Mathematical Physics
45 Journal of Computational and Applied Mathematics
37 Journal of Mathematical Physics
36 Journal of Statistical Physics
30 Advances in Mathematics
29 Journal of Mathematical Analysis and Applications
28 Random Matrices: Theory and Applications
21 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
20 Linear Algebra and its Applications
19 Mathematics of Computation
18 Journal of Computational Physics
17 Communications on Pure and Applied Mathematics
17 Proceedings of the American Mathematical Society
16 Numerische Mathematik
16 Transactions of the American Mathematical Society
15 Journal d’Analyse Mathématique
14 Physica D
13 Advances in Computational Mathematics
12 The Annals of Probability
12 Applied Numerical Mathematics
12 Foundations of Computational Mathematics
11 Integral Transforms and Special Functions
11 Computational Methods and Function Theory
10 Journal of Functional Analysis
10 SIAM Journal on Scientific Computing
9 Journal of Complexity
9 Annales Henri Poincaré
9 Proceedings of the Steklov Institute of Mathematics
8 Nonlinearity
8 Nuclear Physics. B
8 Applied Mathematics and Computation
8 Studies in Applied Mathematics
8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 Sbornik: Mathematics
8 Analysis and Applications (Singapore)
7 Probability Theory and Related Fields
7 Discrete & Computational Geometry
7 The Annals of Applied Probability
7 Numerical Algorithms
6 BIT
6 Acta Applicandae Mathematicae
6 Journal of Scientific Computing
6 Engineering Analysis with Boundary Elements
6 Electronic Journal of Probability
6 Analysis and Mathematical Physics
5 Letters in Mathematical Physics
5 Calcolo
5 SIAM Journal on Numerical Analysis
5 The Ramanujan Journal
5 Journal of Statistical Mechanics: Theory and Experiment
4 Journal of Fluid Mechanics
4 Mathematical Notes
4 Duke Mathematical Journal
4 Integral Equations and Operator Theory
4 Journal of Theoretical Probability
4 SIAM Journal on Matrix Analysis and Applications
4 SIAM Journal on Mathematical Analysis
4 Experimental Mathematics
4 The Journal of Fourier Analysis and Applications
4 Mathematical Physics, Analysis and Geometry
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Physics A: Mathematical and Theoretical
3 Applicable Analysis
3 Computers & Mathematics with Applications
3 Physica A
3 Russian Mathematical Surveys
3 Reviews in Mathematical Physics
3 Acta Mathematica
3 Journal of Multivariate Analysis
3 Memoirs of the American Mathematical Society
3 Applied Mathematics Letters
3 Stochastic Processes and their Applications
3 Indagationes Mathematicae. New Series
3 Journal of Nonlinear Science
3 Russian Mathematics
3 Applied and Computational Harmonic Analysis
3 St. Petersburg Mathematical Journal
3 Numerical Linear Algebra with Applications
3 ETNA. Electronic Transactions on Numerical Analysis
3 Annals of Mathematics. Second Series
3 Lobachevskii Journal of Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Advances in Mathematical Physics
3 Journal of Spectral Theory
3 Problemy Fiziki, Matematiki i Tekhniki
2 Archive for Rational Mechanics and Analysis
2 Computers and Fluids
2 Computer Methods in Applied Mechanics and Engineering
2 Discrete Mathematics
2 Mathematical Methods in the Applied Sciences
2 Theoretical and Mathematical Physics
2 The Mathematical Intelligencer
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Mathematische Nachrichten
2 Mathematika
2 Monatshefte für Mathematik
2 Quarterly of Applied Mathematics
...and 139 more Serials
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Cited in 56 Fields

327 Special functions (33-XX)
271 Probability theory and stochastic processes (60-XX)
248 Harmonic analysis on Euclidean spaces (42-XX)
242 Linear and multilinear algebra; matrix theory (15-XX)
232 Numerical analysis (65-XX)
231 Approximations and expansions (41-XX)
170 Functions of a complex variable (30-XX)
132 Statistical mechanics, structure of matter (82-XX)
115 Partial differential equations (35-XX)
105 Ordinary differential equations (34-XX)
96 Potential theory (31-XX)
64 Operator theory (47-XX)
56 Quantum theory (81-XX)
46 Dynamical systems and ergodic theory (37-XX)
35 Convex and discrete geometry (52-XX)
33 Number theory (11-XX)
31 Combinatorics (05-XX)
30 Functional analysis (46-XX)
29 Statistics (62-XX)
28 Fluid mechanics (76-XX)
23 Real functions (26-XX)
21 Operations research, mathematical programming (90-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
17 Measure and integration (28-XX)
17 Difference and functional equations (39-XX)
15 Information and communication theory, circuits (94-XX)
12 Computer science (68-XX)
11 Mechanics of deformable solids (74-XX)
10 Integral transforms, operational calculus (44-XX)
10 Geophysics (86-XX)
10 Biology and other natural sciences (92-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Mechanics of particles and systems (70-XX)
8 Optics, electromagnetic theory (78-XX)
7 Algebraic geometry (14-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Integral equations (45-XX)
6 Abstract harmonic analysis (43-XX)
5 General and overarching topics; collections (00-XX)
5 Sequences, series, summability (40-XX)
5 Systems theory; control (93-XX)
4 History and biography (01-XX)
4 Field theory and polynomials (12-XX)
4 Geometry (51-XX)
4 Differential geometry (53-XX)
3 Mathematical logic and foundations (03-XX)
3 General topology (54-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Nonassociative rings and algebras (17-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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