43 citations · 119 across the 22 of their papers we have counts for
3 papers · 1 filter
Moment matrices and multi-component KP, with applications to random matrix theory
Mark Adler, Pierre van Moerbeke, Pol Vanhaecke
Questions on random matrices and on non-intersecting Brownian motions have led to the study of moment matrices with regard to several weights. The purpose of this paper is to show…
Transverse Poisson Structures to Adjoint orbits in semi-simple Lie algebras
Pantelis A. Damianou, Herve Sabourin, Pol Vanhaecke
We study the transverse Poisson structure to adjoint orbits in a complex semi-simple Lie algebra. The problem is first reduced to the case of nilpotent orbits. We prove then that i…
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…