42 citations · 201 across the 22 of their papers we have counts for
22 papers
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…
Tetrahedron maps and symmetries of three dimensional integrable discrete equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
A relationship between the tetrahedron equation for maps and the consistency property of integrable discrete equations on is investigated. Our approach is a generali…
Integrable multi-component difference systems of equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
We present two lists of multi-component systems of integrable difference equations defined on the edges of a graph. The integrability of these systems is manifested…
Systems of difference equations on a vector valued function that admit 3D space of scalar potentials
Pavlos Kassotakis, Maciej Nieszporski
For some involutive maps we find all invariants with separated variables. We investigate a link of…