4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.PR2007★ 4 cited
Dyson's non-intersecting Brownian motions with a few outliers
Mark Adler, Jonathan Delepine, Pierre van Moerbeke
Consider n non-intersecting particles on the real line (Dyson Brownian motions), all starting from the origin at time=0, and forced to return to x=0 at time=1. For large n, the ave…
math-ph2006
Singularity confinement for a class of -th order difference equations of combinatorics
M. Adler, P. van Moerbeke, P. Vanhaecke
In a recent publication, it was shown that a large class of integrals over the unitary group U(n) satisfy difference equations over , involving a finite number of steps; special…
math.PR2005
PDE's for the Gaussian ensemble with external source and the Pearcey distribution
Mark Adler, Pierre van Moerbeke
The present paper studies a Gaussian Hermitian random matrix ensemble with external source, given by a fixed diagonal matrix with two eigenvalues a and -a. As a first result, the p…