47 citations · 134 across the 14 of their papers we have counts for
14 papers
The local universality of Muttalib-Borodin biorthogonal ensembles with parameter
A. B. J. Kuijlaars, L. D. Molag
The Muttalib-Borodin biorthogonal ensemble is a probability density function for particles on the positive real line that depends on a parameter and an external field .…
Exceptional Laguerre polynomials
Niels Bonneux, Arno B. J. Kuijlaars
The aim of this paper is to present the construction of exceptional Laguerre polynomials in a systematic way, and to provide new asymptotic results on the location of the zeros. To…
Zero distribution of complex orthogonal polynomials with respect to exponential weights
Daan Huybrechs, Arno Kuijlaars, Nele Lejon
We study the limiting zero distribution of orthogonal polynomials with respect to some particular exponential weights exp(-nV(z)) along contours in the complex plane. We are especi…
Weakly Admissible Vector Equilibrium Problems
Adrien Hardy, Arno B. J. Kuijlaars
We establish lower semi-continuity and strict convexity of the energy functionals for a large class of vector equilibrium problems in logarithmic potential theory. This in particul…
Multiple Meixner-Pollaczek polynomials and the six-vertex model
Martin Bender, Steven Delvaux, Arno B. J. Kuijlaars
We study multiple orthogonal polynomials of Meixner-Pollaczek type with respect to a symmetric system of two orthogonality measures. Our main result is that the limiting distributi…
Critical behavior of non-intersecting Brownian motions at a tacnode
Steven Delvaux, Arno B. J. Kuijlaars, Lun Zhang
We study a model of one-dimensional non-intersecting Brownian motions with two prescribed starting points at time and two prescribed ending points at time in a crit…
The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights
A. B. J. Kuijlaars, P. M. J. Tibboel
We consider orthogonal polynomials on the real line with respect to a weight and in particular the asymptotic behaviour of the coe…
Locating the zeros of partial sums of exp(z) with Riemann-Hilbert methods
T. Kriecherbauer, A. B. J. Kuijlaars, K. D. T-R McLaughlin +1
In this paper we derive uniform asymptotic expansions for the partial sums of the exponential series. We indicate how this information will be used in a later publication to obtain…
Critical edge behavior in unitary random matrix ensembles and the thirty fourth Painleve transcendent
A. R. Its, A. B. J. Kuijlaars, J. Ostensson
We describe a new universality class for unitary invariant random matrix ensembles. It arises in the double scaling limit of ensembles of random Hermitian matrices $Z_…
Universality of the double scaling limit in random matrix models
Tom Claeys, Arno B. J. Kuijlaars
We study unitary random matrix ensembles in the critical case where the limiting mean eigenvalue density vanishes quadratically at an interior point of the support. We establish un…
A Riemann-Hilbert problem for biorthogonal polynomials
A. B. J. Kuijlaars, K. T-R McLaughlin
We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the o…
Orthogonality of Jacobi polynomials with general parameters
A. B. J. Kuijlaars, A. Martinez-Finkelshtein, R. Orive
In this paper we study the orthogonality conditions satisfied by Jacobi polynomials when the parameters and are not necessarily . We establish orthogonal…
Asymptotic zero behavior of Laguerre polynomials with negative parameter
A. B. J. Kuijlaars, K. T-R McLaughlin
We consider Laguerre polynomials with varying negative parameters , such that the limit exists and belongs to . For , it is…
The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
A. B. J. Kuijlaars, K. T-R McLaughlin, W. Van Assche +1
We consider polynomials that are orthogonal on with respect to a modified Jacobi weight , with and real analytic and stricly positive on $…