What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Quantum mechanics
His primary scientific interests are in Orthogonal polynomials, Mathematical analysis, Random matrix, Eigenvalues and eigenvectors and Combinatorics.
His work carried out in the field of Orthogonal polynomials brings together such families of science as Krylov subspace and Toeplitz matrix, Algebra.
His study in the fields of Measure under the domain of Mathematical analysis overlaps with other disciplines such as Kernel.
The Random matrix study combines topics in areas such as Characteristic polynomial, Pure mathematics, Unitary matrix, Method of steepest descent and Scaling.
His Eigenvalues and eigenvectors study combines topics in areas such as Mathematical physics, Finite set, Universality, Potential theory and Hermitian matrix.
His Combinatorics research is multidisciplinary, relying on both Upper and lower bounds, Plane, Surface and Riemann zeta function.
His most cited work include:
- Distributing many points on a sphere (849 citations)
- The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1] (273 citations)
- Large n Limit of Gaussian Random Matrices with External Source, Part I (238 citations)
What are the main themes of his work throughout his whole career to date?
Arno B. J. Kuijlaars spends much of his time researching Orthogonal polynomials, Mathematical analysis, Pure mathematics, Random matrix and Combinatorics.
His biological study deals with issues like Bessel function, which deal with fields such as Bessel process.
Arno B. J. Kuijlaars has researched Mathematical analysis in several fields, including Matrix and Brownian motion.
Arno B. J. Kuijlaars combines subjects such as Orthogonality and Complex plane with his study of Pure mathematics.
His Random matrix research is included under the broader classification of Eigenvalues and eigenvectors.
His Discrete orthogonal polynomials study incorporates themes from Gegenbauer polynomials and Hahn polynomials.
He most often published in these fields:
- Orthogonal polynomials (44.71%)
- Mathematical analysis (38.46%)
- Pure mathematics (28.37%)
What were the highlights of his more recent work (between 2014-2021)?
- Orthogonal polynomials (44.71%)
- Pure mathematics (28.37%)
- Random matrix (27.88%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Orthogonal polynomials, Pure mathematics, Random matrix, Mathematical analysis and Matrix.
His biological study spans a wide range of topics, including Complex plane and Hermite polynomials.
In general Pure mathematics study, his work on Laguerre polynomials often relates to the realm of Point process, thereby connecting several areas of interest.
His Random matrix research includes elements of Statistical physics, Hermitian matrix and Combinatorics.
His studies deal with areas such as Point and Saddle point as well as Mathematical analysis.
His Matrix research is multidisciplinary, incorporating elements of Determinantal point process and Methods of contour integration.
Between 2014 and 2021, his most popular works were:
- Singular Value Statistics of Matrix Products with Truncated Unitary Matrices (58 citations)
- Recurrence relations for exceptional Hermite polynomials. (49 citations)
- Zeros of exceptional Hermite polynomials (41 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Quantum mechanics
Arno B. J. Kuijlaars mainly focuses on Orthogonal polynomials, Pure mathematics, Wilson polynomials, Polynomial and Eigenvalues and eigenvectors.
His Pure mathematics study typically links adjacent topics like Random matrix.
His Random matrix study integrates concerns from other disciplines, such as Hermitian matrix and Invariant.
He interconnects Gegenbauer polynomials and Hermite polynomials in the investigation of issues within Wilson polynomials.
His work on Normal matrix as part of general Eigenvalues and eigenvectors research is frequently linked to Riemann–Hilbert problem, thereby connecting diverse disciplines of science.
He applies his multidisciplinary studies on Riemann–Hilbert problem and Mathematical analysis in his research.
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