43 citations · 119 across the 22 of their papers we have counts for
7 papers · 1 filter
Morphisms and automorphisms of skew-symmetric Lotka-Volterra systems
Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke
We study the basic relation between skew-symmetric Lotka-Volterra systems and graphs, both at the level of objects and morphisms, and derive a classification from it of skew-symmet…
Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems
Pantelis A. Damianou, Charalampos A. Evripidou, Pavlos Kassotakis +1
Given a constant skew-symmetric matrix A, it is a difficult open problem whether the associated Lotka-Volterra system is integrable or not. We solve this problem in the special cas…
Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization
Theodoros E. Kouloukas, G. R. W. Quispel, Pol Vanhaecke
We prove the Liouville and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization.
Singular fiber of the Mumford system and rational solutions to the KdV hierarchy
Rei Inoue, Pol Vanhaecke, Takao Yamazaki
We study the singular iso-level manifold of the genus Mumford system associated to the spectral curve . We show that is stratified by open…
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…
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…