14 citations · 58 across the 16 of their papers we have counts for
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math.CV2009
An equilibrium problem for the limiting eigenvalue distribution of rational Toeplitz matrices
Steven Delvaux, Maurice Duits
We consider the asymptotic behavior of the eigenvalues of Toeplitz matrices with rational symbol as the size of the matrix goes to infinity. Our main result is that the weak limit…
math.CV2009
A graph-based equilibrium problem for the limiting distribution of non-intersecting Brownian motions at low temperature
Steven Delvaux, Arno B. J. Kuijlaars
We consider n non-intersecting Brownian motion paths with p prescribed starting positions at time t=0 and q prescribed ending positions at time t=1. The positions of the paths at a…
math.CA2009
Average characteristic polynomials for multiple orthogonal polynomial ensembles
Steven Delvaux
Multiple orthogonal polynomials (MOP) are a non-definite version of matrix orthogonal polynomials. They are described by a Riemann-Hilbert matrix Y consisting of four blocks Y_{1,1…