5 papers
Multicomponent pentagon maps
Pavlos Kassotakis
We provide necessary and sufficient conditions for maps that satisfy associative-like conditions on families of n-ary magmas to be pentagon maps. We obtain parametric-pentagon maps…
Idempotent compatible maps and discrete integrable systems on the triangular lattice
Pavlos Kassotakis, Maciej Nieszporski
We present three equivalence classes of rational non-invertible multidimensional compatible maps. These maps turns out to be idempotent and by construction they admit birational pa…
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…
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…
Entwining tetrahedron maps
Pavlos Kassotakis
We present three non-equivalent procedures to obtain entwining (non-constant) tetrahedron maps. Given a tetrahedron map, the first procedure incorporates its underlying symmetry gr…