7 citations · 7 across the 3 of their papers we have counts for
3 papers
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…
math.CV2008★ 7 cited
A phase transition for non-intersecting Brownian motions, and the Painleve II equation
Steven Delvaux, Arno B. J. Kuijlaars
We consider n non-intersecting Brownian motions with two fixed starting positions and two fixed ending positions in the large n limit. We show that in case of 'large separation' be…