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Arno B. J. Kuijlaars

Arno B. J. Kuijlaars

D-Index & Metrics

Mathematics

D-Index
53
Citations
8704
World Ranking
920
National Ranking
14

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - Royal Netherlands Academy of Arts and Sciences

Overview

Arno B. J. Kuijlaars is affiliated with KU Leuven in Belgium and has contributed extensively to the fields of Mathematics and Physics and Astronomy. Their research output includes 41 publications in Mathematics and 14 in Physics and Astronomy, with a focus on several specialized subfields and topics.

The subfields of study they engage with include:

  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Algebra and Number Theory

Their main topics of work span:

  • Mathematical functions and polynomials
  • Matrix Theory and Algorithms
  • Stochastic processes and statistical mechanics
  • Advanced Mathematical Theories and Applications
  • Advanced Mathematical Identities
  • Mathematical Approximation and Integration
  • Nonlinear Waves and Solitons

Kuijlaars has published research in several venues, principally:

  • arXiv (Cornell University)
  • Journal of Approximation Theory
  • Nonlinearity
  • UNC Libraries
  • Constructive Approximation

Recent publications authored or coauthored by Kuijlaars include:

  • On minimal energy solutions to certain classes of integral equations related to soliton gases for integrable systems, 2021, arXiv (Cornell University)
  • A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere, 2022, Constructive Approximation
  • anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials, 2023, Symmetry Integrability and Geometry Methods and Applications
  • Critical Measures on Higher Genus Riemann Surfaces, 2023, Communications in Mathematical Physics
  • Asymptotics of matrix valued orthogonal polynomials on [−1,1], 2023, Advances in Mathematics

They have collaborated frequently with other researchers. Frequent coauthors include:

  • Alan Groot
  • Sampad Lahiry
  • Alexander Tovbis
  • Juan G. Criado del Rey
  • Sergey Berezin

Kuijlaars became a Fellow of the American Mathematical Society in 2013. They were also recognized by the Royal Netherlands Academy of Arts and Sciences in 2011.

Best Publications

  • Distributing many points on a sphere

    E. B. Saff;A. B. J. Kuijlaars

  • The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

    A. B. J. Kuijlaars;K. T-R McLaughlin;K. T-R McLaughlin;W. Van Assche;M. Vanlessen

  • Large n Limit of Gaussian Random Matrices with External Source, Part I

    Pavel Bleher;Arno B. J. Kuijlaars

  • Asymptotics for minimal discrete energy on the sphere

    A.B.J. Kuijlaars;A.B.J. Kuijlaars;E.B. Saff

  • Random matrices with external source and multiple orthogonal polynomials

    P. M. Bleher;A. B. J. Kuijlaars

  • Large n Limit of Gaussian Random Matrices with External Source, Part III: Double Scaling Limit

    Pavel M. Bleher;Arno B. J. Kuijlaars

  • Superlinear Convergence of Conjugate Gradients

    Bernhard Beckermann;Arno B. J. Kuijlaars

  • Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits

    Arno B. J. Kuijlaars;Lun Zhang

  • Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples

    Rodrigo B. Platte;Lloyd N. Trefethen;Arno B. J. Kuijlaars

  • The Asymptotic Zero Distribution of Orthogonal Polynomials with Varying Recurrence Coefficients

    A.B.J Kuijlaars;W Van Assche

  • Riemann-Hilbert Problems for Multiple Orthogonal Polynomials

    Walter Van Assche;Jeffrey S. Geronimo;Arno B. J. Kuijlaars

  • Singular values of products of random matrices and polynomial ensembles

    Arno B. J. Kuijlaars;Dries Stivigny

  • Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields

    A. B. J. Kuijlaars;K. T-R McLaughlin

  • Universality for eigenvalue correlations from the modified Jacobi unitary ensemble

    Arno Kuijlaars;Maarten Vanlessen

  • Universality for Eigenvalue Correlations at the Origin of the Spectrum

    Arno Kuijlaars;Maarten Vanlessen

  • Multi-critical unitary random matrix ensembles and the general Painlevé II equation

    Tom Claeys;Arno B. J. Kuijlaars;Maarten Vanlessen

  • Universality of the double scaling limit in random matrix models

    Tom Claeys;Arno B. J. Kuijlaars

  • Spectral Asymptotics of the Non-Self-Adjoint Harmonic Oscillator

    E. B. Davies;A. B. J. Kuijlaars

  • Non-Intersecting Squared Bessel Paths and Multiple Orthogonal Polynomials for Modified Bessel Weights

    A. B. J. Kuijlaars;Andrei Martínez-Finkelshtein;F. Wielonsky

  • Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions

    E. Daems;A. B. J. Kuijlaars

  • Integral representations for multiple Hermite and multiple Laguerre polynomials

    Pavel M. Bleher;Arno B.J. Kuijlaars

Frequent Co-Authors

Pavel Bleher
Pavel Bleher Indiana University – Purdue University Indianapolis
Edward B. Saff
Edward B. Saff Vanderbilt University
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Lloyd N. Trefethen
Lloyd N. Trefethen University of Oxford
Raymond H. Chan
Raymond H. Chan Lingnan University
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology

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