43 citations · 119 across the 22 of their papers we have counts for
25 papers
Commutative Poisson algebras from deformations of noncommutative algebras
Alexander V. Mikhailov, Pol Vanhaecke
It is well-known that a formal deformation of a commutative algebra leads to a Poisson bracket on and that the classical limit of a derivation on the…
Integrable maps in 4D and modified Volterra lattices
A. N. W. Hone, J. A. G. Roberts, P. Vanhaecke +1
In recent work, we presented the construction of a family of difference equations associated with the Stieltjes continued fraction expansion of a certain function on a hyperellipti…
A family of integrable maps associated with the Volterra lattice
A. N. W. Hone, J. A. G. Roberts, P. Vanhaecke
Recently Gubbiotti, Joshi, Tran and Viallet classified birational maps in four dimensions admitting two invariants (first integrals) with a particular degree structure, by consider…
Kahan discretizations of skew-symmetric Lotka-Volterra systems and Poisson maps
Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke
The Kahan discretization of the Lotka-Volterra system, associated with any skew-symmetric graph , leads to a family of rational maps, parametrized by the step size. When these m…
Generalized NS-algebras
Cyrille Ospel, Florin Panaite, Pol Vanhaecke
We generalize to arbitrary categories of algebras the notion of an NS-algebra. We do this by using a bimodule property, as we did for defining the general notions of a dendriform a…
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…