4 papers
Scalene Yang-Baxter maps and Lax triples
S. Konstantinou-Rizos, T. Kouloukas
We study a generalisation of the set-theoretic Yang-Baxter equation and investigate the connection between its solutions and matrix refactorisation problems. We refer to such solut…
On refactorization problems and rational Lax matrices of quadrirational Yang-Baxter maps
Pavlos Kassotakis, Theodoros E. Kouloukas, Maciej Nieszporski
We present rational Lax representations for one-component parametric quadrirational Yang-Baxter maps in both the abelian and non-abelian settings. We show that from the Lax matrice…
Reductions and degenerate limits of Yang-Baxter maps with Lax matrices
P. Adamopoulou, T. E. Kouloukas, G. Papamikos
We generalise a family of quadrirational parametric Yang-Baxter maps with Lax matrices by introducing additional essential parameters. These maps preserve a prescribed…
Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
Pavlos Kassotakis, Theodoros Kouloukas, Maciej Nieszporski
We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic colli…