12 citations · 12 across the 3 of their papers we have counts for
4 papers
Critical measures on higher genus Riemann surfaces
Marco Bertola, Alan Groot, Arno B. J. Kuijlaars
Critical measures in the complex plane are saddle points for the logarithmic energy with external field. Their local and global structure was described by Martinez-Finkelshtein and…
Matrix-valued orthogonal polynomials related to hexagon tilings
Alan Groot, Arno B. J. Kuijlaars
In this paper, we study a class of matrix-valued orthogonal polynomials (MVOPs) that are related to 2-periodic lozenge tilings of a hexagon. The general model depends on many param…
A vector equilibrium problem for symmetrically located point charges on a sphere
Juan G. Criado del Rey, Arno B. J. Kuijlaars
We study the equilibrium measure on the two dimensional sphere in the presence of an external field generated by r+1 equal point charges that are symmetrically located around the n…
Domains of existence for finely holomorphic functions
Bent Fuglede, Alan Groot, Jan Wiegerinck
We show that fine domains in with the property that they are Euclidean and , are in fact fine domains of existence for finely holomorphic functions. Moreove…