132 citations · 951 across the 63 of their papers we have counts for
71 papers
Orthogonal polynomials in the spherical ensemble with two insertions
Sung-Soo Byun, Peter J. Forrester, Arno B. J. Kuijlaars +1
We consider asymptotics of planar orthogonal polynomials (where ) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \q…
Matrix valued orthogonal polynomials arising from hexagon tilings with 3x3-periodic weightings
Arno B. J. Kuijlaars
Matrix valued orthogonal polynomials (MVOP) appear in the study of doubly periodic tiling models. Of particular interest is their limiting behavior as the degree tends to infinity.…
Orthogonal polynomials in the normal matrix model with two insertions
Mario Kieburg, Arno B. J. Kuijlaars, Sampad Lahiry
We consider orthogonal polynomials with respect to the weight in the whole complex plane. We obtain strong asymptotics and the limiting normalized zero…
Wiener-Hopf factorizations and matrix-valued orthogonal polynomials
Arno B. J. Kuijlaars, Mateusz Piorkowski
We compare two methods for analysing periodic dimer models. These are the matrix-valued orthogonal polynomials approach due to Duits and one of the authors, and the Wiener-Hopf app…
Extremal polynomials on the -grid
Arno B. J. Kuijlaars
The -grid consists of equally spaced points in including the endpoints . The extremal polynomial is the polynomial that maximizes the uniform n…
Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
Sergey Berezin, Arno B. J. Kuijlaars, Iván Parra
A recent result of S.-Y. Lee and M. Yang states that the planar orthogonal polynomials orthogonal with respect to a modified Gaussian measure are multiple orthogonal polynomials of…